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  1. Most Popular Content – September 2026


    Please find below a list of the most popular posts on this website for September 2026. Which one is your favourite?

    1. Why Data Normalisation Has Gone Out of Fashion 2. Podcast: Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 3. Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 4. The Top 20 Docker Containers Every Private Investor Should Run 5. Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier SRi 6. Court Guinness Big Birthday Update 2026 7. Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 8. Early September 2026 Advertised Requirements 9. A Comparative Analysis of the Jeanneau Merry Fisher and Beneteau Antares: Choosing Your Perfect Cruising Companion 10. Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 11. Podcast: Building a Bloomberg Terminal on a Budget Using Open Source Software 12. Microblog: Visitor Statistics : September 2026 13. Retro Road Test: Peugeot 306 1.4 XL v Vauxhall Astra 1.4 GLS 14. Mid September 2026 Advertised Requirements 15. Podcast: A few things you do not know about Court. 16. The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 17. Court Report 05/09/2026 (1) @ 19:35 18. Podcast: So The Public Sector Are Complaining Again! 19. Podcast:The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 20. Nextcloud Vs Pydio 21. Podcast: Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 22. Speech Given By Court Guinness On Reaching 1,000 Days With a Continual Headache 23. Podcast: Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier Sri 24. Fiat Cinquecento vs Peugeot 106 25. Retro Road Test: Jaguar X-Type 2.5 V6 vs Rover 75 2.5 V6 26. Joint Venture Opportunity 27. The Rap Sheet 28. A few things you do not know about Court. 29. 51 30. Coastal Lifestyle Business Sought – September 2026 31. A Retro Road Test! Happy Eater Vs Little Chef 32. Building a Bloomberg Terminal on a Budget Using Open Source Software 33. Property Requirement 09/2026 – North West UK 34. New Jobs Available  – Business Consultants 35. Court Report 10/09/2026 (1) @ 19:00 36. Podcast: Fiat Cinquecento vs Peugeot 106 37. Event: Headache Party 07/10/2026 38. 1,000 Days Party 39. 2,000 Days Party 40. Court Report 14/09/2026 (1) @ 21:55 41. Mid September 2026 Advertised Requirements 42. Podcast: The Top 20 Docker Containers Every Private Investor Should Run 43. Contact Court 44. Microblog: Headache Blog 18/09/2026 45. Lucy’s Rap Sheet – September 2026 46. Late September 2026 Advertised Requirements 47. Court Report 30/08/2026 (1) @ 19:35 48. Retro Tech: A Tale of Two Titans: Commodore 64 vs. Amstrad CPC 464 49. Lucy’s Message September 2026 50. So The Public Sector Are Complaining Again! 51. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 52. Retro Road Test: Ford Granada vs Vauxhall Carlton — 1990 road test (2.0-litre) 53. Podcast: Early August 2026 Advertised Requirements 54. M62 Belt Requirements September 2026 55. Doing A Crap Job 56. Podcast: Early September 2026 Advertised Requirements 57. A Comprehensive Comparison Between Lotus Approach and Microsoft Access 58. Retro Road Test: 1983 Vauxhall Astra GTE vs. 1983 Volkswagen Golf GTI 59. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 60. House Swap Brochure 61. Retro Road Test: BMW 735i vs Lexus LS400 (1990) 62. Podcast: Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 63. Retro Road Tests: Vehicle List: September 2026 64. Welsh Borders Requirements September 2026 65. Retro Road Tests: Vehicle List: September 2025 66. Update On This Site 10/04/2021 67. Revised Full Road Test Directory – September 2026 68. Homepage (Latest posts) 69. MicroBlog: August 2026 Statistics 70. Ewell Systems Appointed By Adobe 71. Most Popular Content  – August 2026 72. Restaurant Premises Required In Tyne and Wear 73. Podcast Update: September 2024 74. Microblog: Headache Blog 04/01/2023 75. It’s Lucy I Have Moved My Website Here 76. Court Report 14/08/2026 (1) @ 05:10 77. Vending Business Opportunities : December 2020 78. Shopping: Samsung Telly’s March 2017 79. Bullet Point Update 29/05/20 80. Sheffield/Peak District/South Yorkshire Requirements April 2025 81. Why the NHS 1–10 Pain Scale is Not Fit for Purpose and Should Be Replaced 82. Retro Road Test: Mazda Xedos 6 vs Volvo 850  (1993 specs, UK) 83. A Quick Word About Content In The Trade House Magazine – August 2020 84. Retro Road Test: Talbot Tagora vs Ford Granada 85. Microblog: 26/03/2020 Irish IP Address blocking 86. Please consider subscribing to my newsletter 87. National Balance Awareness Week 2026 88. BlueSky – September 2026 89. Stolen Watch – September 2026 90. Retro Road Test: Alfa Romeo 164 Cloverleaf vs Lancia Thema Turbo (1991) 91. Retro Road Test: Fiat 131 vs Ford Cortina (1981 UK Specs) 92. Mid May Tech Update 1/Latest Microsoft Surface Review. 93. Microblog: Target Reached: 2,000,000 94. Repost: Market Comment March 2020 95. Podcast: Branding I devised 96. Court Report 19/09/2026 (1) @ 17:30 97. Retro Road Test: Audi A6 Allroad vs Volvo XC70 (2002) 98. Property Requirement 09/2026 – South Coast UK 99. Retro Road Test: Alfa Romeo 75 vs. Saab 900: 100. Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 101. Podcast: Retro Road Test: Lancia Thema vs Vauxhall Carlton (1990, UK Spec) 102. Why “Randy Mandy” Should Be a Warning to All Employers and Boards 103. Fuel Shortages 104. Liveaboard Boat Required June 2026 105. Retro Road Test: Suzuki Hayabusa vs Honda Fireblade (1999) 106. Podcast: Teacher’s Arrogance: Why Is It A Big Problem? 107. Announcing The Quick Stats Widget 108. Media Conference: NHS Business Services Authority. Mr Court Guinness and Fraud. 109. Boat Test: Fleming 58 and the Grand Banks Aleutian 59 110. Podcast: Testing Latest Court Report Format As A Podcast 111. Land and Sites Required Nationwide 112. Late August 2026 Advertised Requirements 113. Podcast Update: September 2026 114. Samsung Telly’s 115. Unpaid, Late, and Aged Debt from 01/07/2022 116. Mini Update From Court Guinness 117. Updated Site List June 2021 118. Retro Tech: Borland Sidekick Vs Symantec Act! 119. Podcast: Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 120. Retro Road test: Toyota Land Cruiser vs Mitsubishi Shogun 121. Podcast: I Wonder What Is Happening In Retail 122. The Latest News From Court 123. Olympics Planning 124. Press Release 125. The Surrey Special Edition Slideshare

    #2024 #blog #bulletin #community #courtGuinness #news #report #september2024 #topPosts #writing
  2. Most Popular Content – September 2026


    Please find below a list of the most popular posts on this website for September 2026. Which one is your favourite?

    1. Why Data Normalisation Has Gone Out of Fashion 2. Podcast: Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 3. Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 4. The Top 20 Docker Containers Every Private Investor Should Run 5. Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier SRi 6. Court Guinness Big Birthday Update 2026 7. Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 8. Early September 2026 Advertised Requirements 9. A Comparative Analysis of the Jeanneau Merry Fisher and Beneteau Antares: Choosing Your Perfect Cruising Companion 10. Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 11. Podcast: Building a Bloomberg Terminal on a Budget Using Open Source Software 12. Microblog: Visitor Statistics : September 2026 13. Retro Road Test: Peugeot 306 1.4 XL v Vauxhall Astra 1.4 GLS 14. Mid September 2026 Advertised Requirements 15. Podcast: A few things you do not know about Court. 16. The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 17. Court Report 05/09/2026 (1) @ 19:35 18. Podcast: So The Public Sector Are Complaining Again! 19. Podcast:The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 20. Nextcloud Vs Pydio 21. Podcast: Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 22. Speech Given By Court Guinness On Reaching 1,000 Days With a Continual Headache 23. Podcast: Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier Sri 24. Fiat Cinquecento vs Peugeot 106 25. Retro Road Test: Jaguar X-Type 2.5 V6 vs Rover 75 2.5 V6 26. Joint Venture Opportunity 27. The Rap Sheet 28. A few things you do not know about Court. 29. 51 30. Coastal Lifestyle Business Sought – September 2026 31. A Retro Road Test! Happy Eater Vs Little Chef 32. Building a Bloomberg Terminal on a Budget Using Open Source Software 33. Property Requirement 09/2026 – North West UK 34. New Jobs Available  – Business Consultants 35. Court Report 10/09/2026 (1) @ 19:00 36. Podcast: Fiat Cinquecento vs Peugeot 106 37. Event: Headache Party 07/10/2026 38. 1,000 Days Party 39. 2,000 Days Party 40. Court Report 14/09/2026 (1) @ 21:55 41. Mid September 2026 Advertised Requirements 42. Podcast: The Top 20 Docker Containers Every Private Investor Should Run 43. Contact Court 44. Microblog: Headache Blog 18/09/2026 45. Lucy’s Rap Sheet – September 2026 46. Late September 2026 Advertised Requirements 47. Court Report 30/08/2026 (1) @ 19:35 48. Retro Tech: A Tale of Two Titans: Commodore 64 vs. Amstrad CPC 464 49. Lucy’s Message September 2026 50. So The Public Sector Are Complaining Again! 51. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 52. Retro Road Test: Ford Granada vs Vauxhall Carlton — 1990 road test (2.0-litre) 53. Podcast: Early August 2026 Advertised Requirements 54. M62 Belt Requirements September 2026 55. Doing A Crap Job 56. Podcast: Early September 2026 Advertised Requirements 57. A Comprehensive Comparison Between Lotus Approach and Microsoft Access 58. Retro Road Test: 1983 Vauxhall Astra GTE vs. 1983 Volkswagen Golf GTI 59. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 60. House Swap Brochure 61. Retro Road Test: BMW 735i vs Lexus LS400 (1990) 62. Podcast: Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 63. Retro Road Tests: Vehicle List: September 2026 64. Welsh Borders Requirements September 2026 65. Retro Road Tests: Vehicle List: September 2025 66. Update On This Site 10/04/2021 67. Revised Full Road Test Directory – September 2026 68. Homepage (Latest posts) 69. MicroBlog: August 2026 Statistics 70. Ewell Systems Appointed By Adobe 71. Most Popular Content  – August 2026 72. Restaurant Premises Required In Tyne and Wear 73. Podcast Update: September 2024 74. Microblog: Headache Blog 04/01/2023 75. It’s Lucy I Have Moved My Website Here 76. Court Report 14/08/2026 (1) @ 05:10 77. Vending Business Opportunities : December 2020 78. Shopping: Samsung Telly’s March 2017 79. Bullet Point Update 29/05/20 80. Sheffield/Peak District/South Yorkshire Requirements April 2025 81. Why the NHS 1–10 Pain Scale is Not Fit for Purpose and Should Be Replaced 82. Retro Road Test: Mazda Xedos 6 vs Volvo 850  (1993 specs, UK) 83. A Quick Word About Content In The Trade House Magazine – August 2020 84. Retro Road Test: Talbot Tagora vs Ford Granada 85. Microblog: 26/03/2020 Irish IP Address blocking 86. Please consider subscribing to my newsletter 87. National Balance Awareness Week 2026 88. BlueSky – September 2026 89. Stolen Watch – September 2026 90. Retro Road Test: Alfa Romeo 164 Cloverleaf vs Lancia Thema Turbo (1991) 91. Retro Road Test: Fiat 131 vs Ford Cortina (1981 UK Specs) 92. Mid May Tech Update 1/Latest Microsoft Surface Review. 93. Microblog: Target Reached: 2,000,000 94. Repost: Market Comment March 2020 95. Podcast: Branding I devised 96. Court Report 19/09/2026 (1) @ 17:30 97. Retro Road Test: Audi A6 Allroad vs Volvo XC70 (2002) 98. Property Requirement 09/2026 – South Coast UK 99. Retro Road Test: Alfa Romeo 75 vs. Saab 900: 100. Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 101. Podcast: Retro Road Test: Lancia Thema vs Vauxhall Carlton (1990, UK Spec) 102. Why “Randy Mandy” Should Be a Warning to All Employers and Boards 103. Fuel Shortages 104. Liveaboard Boat Required June 2026 105. Retro Road Test: Suzuki Hayabusa vs Honda Fireblade (1999) 106. Podcast: Teacher’s Arrogance: Why Is It A Big Problem? 107. Announcing The Quick Stats Widget 108. Media Conference: NHS Business Services Authority. Mr Court Guinness and Fraud. 109. Boat Test: Fleming 58 and the Grand Banks Aleutian 59 110. Podcast: Testing Latest Court Report Format As A Podcast 111. Land and Sites Required Nationwide 112. Late August 2026 Advertised Requirements 113. Podcast Update: September 2026 114. Samsung Telly’s 115. Unpaid, Late, and Aged Debt from 01/07/2022 116. Mini Update From Court Guinness 117. Updated Site List June 2021 118. Retro Tech: Borland Sidekick Vs Symantec Act! 119. Podcast: Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 120. Retro Road test: Toyota Land Cruiser vs Mitsubishi Shogun 121. Podcast: I Wonder What Is Happening In Retail 122. The Latest News From Court 123. Olympics Planning 124. Press Release 125. The Surrey Special Edition Slideshare

    #2024 #blog #bulletin #community #courtGuinness #news #report #september2024 #topPosts #writing
  3. Most Popular Content – September 2026


    Please find below a list of the most popular posts on this website for September 2026. Which one is your favourite?

    1. Why Data Normalisation Has Gone Out of Fashion 2. Podcast: Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 3. Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 4. The Top 20 Docker Containers Every Private Investor Should Run 5. Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier SRi 6. Court Guinness Big Birthday Update 2026 7. Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 8. Early September 2026 Advertised Requirements 9. A Comparative Analysis of the Jeanneau Merry Fisher and Beneteau Antares: Choosing Your Perfect Cruising Companion 10. Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 11. Podcast: Building a Bloomberg Terminal on a Budget Using Open Source Software 12. Microblog: Visitor Statistics : September 2026 13. Retro Road Test: Peugeot 306 1.4 XL v Vauxhall Astra 1.4 GLS 14. Mid September 2026 Advertised Requirements 15. Podcast: A few things you do not know about Court. 16. The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 17. Court Report 05/09/2026 (1) @ 19:35 18. Podcast: So The Public Sector Are Complaining Again! 19. Podcast:The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 20. Nextcloud Vs Pydio 21. Podcast: Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 22. Speech Given By Court Guinness On Reaching 1,000 Days With a Continual Headache 23. Podcast: Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier Sri 24. Fiat Cinquecento vs Peugeot 106 25. Retro Road Test: Jaguar X-Type 2.5 V6 vs Rover 75 2.5 V6 26. Joint Venture Opportunity 27. The Rap Sheet 28. A few things you do not know about Court. 29. 51 30. Coastal Lifestyle Business Sought – September 2026 31. A Retro Road Test! Happy Eater Vs Little Chef 32. Building a Bloomberg Terminal on a Budget Using Open Source Software 33. Property Requirement 09/2026 – North West UK 34. New Jobs Available  – Business Consultants 35. Court Report 10/09/2026 (1) @ 19:00 36. Podcast: Fiat Cinquecento vs Peugeot 106 37. Event: Headache Party 07/10/2026 38. 1,000 Days Party 39. 2,000 Days Party 40. Court Report 14/09/2026 (1) @ 21:55 41. Mid September 2026 Advertised Requirements 42. Podcast: The Top 20 Docker Containers Every Private Investor Should Run 43. Contact Court 44. Microblog: Headache Blog 18/09/2026 45. Lucy’s Rap Sheet – September 2026 46. Late September 2026 Advertised Requirements 47. Court Report 30/08/2026 (1) @ 19:35 48. Retro Tech: A Tale of Two Titans: Commodore 64 vs. Amstrad CPC 464 49. Lucy’s Message September 2026 50. So The Public Sector Are Complaining Again! 51. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 52. Retro Road Test: Ford Granada vs Vauxhall Carlton — 1990 road test (2.0-litre) 53. Podcast: Early August 2026 Advertised Requirements 54. M62 Belt Requirements September 2026 55. Doing A Crap Job 56. Podcast: Early September 2026 Advertised Requirements 57. A Comprehensive Comparison Between Lotus Approach and Microsoft Access 58. Retro Road Test: 1983 Vauxhall Astra GTE vs. 1983 Volkswagen Golf GTI 59. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 60. House Swap Brochure 61. Retro Road Test: BMW 735i vs Lexus LS400 (1990) 62. Podcast: Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 63. Retro Road Tests: Vehicle List: September 2026 64. Welsh Borders Requirements September 2026 65. Retro Road Tests: Vehicle List: September 2025 66. Update On This Site 10/04/2021 67. Revised Full Road Test Directory – September 2026 68. Homepage (Latest posts) 69. MicroBlog: August 2026 Statistics 70. Ewell Systems Appointed By Adobe 71. Most Popular Content  – August 2026 72. Restaurant Premises Required In Tyne and Wear 73. Podcast Update: September 2024 74. Microblog: Headache Blog 04/01/2023 75. It’s Lucy I Have Moved My Website Here 76. Court Report 14/08/2026 (1) @ 05:10 77. Vending Business Opportunities : December 2020 78. Shopping: Samsung Telly’s March 2017 79. Bullet Point Update 29/05/20 80. Sheffield/Peak District/South Yorkshire Requirements April 2025 81. Why the NHS 1–10 Pain Scale is Not Fit for Purpose and Should Be Replaced 82. Retro Road Test: Mazda Xedos 6 vs Volvo 850  (1993 specs, UK) 83. A Quick Word About Content In The Trade House Magazine – August 2020 84. Retro Road Test: Talbot Tagora vs Ford Granada 85. Microblog: 26/03/2020 Irish IP Address blocking 86. Please consider subscribing to my newsletter 87. National Balance Awareness Week 2026 88. BlueSky – September 2026 89. Stolen Watch – September 2026 90. Retro Road Test: Alfa Romeo 164 Cloverleaf vs Lancia Thema Turbo (1991) 91. Retro Road Test: Fiat 131 vs Ford Cortina (1981 UK Specs) 92. Mid May Tech Update 1/Latest Microsoft Surface Review. 93. Microblog: Target Reached: 2,000,000 94. Repost: Market Comment March 2020 95. Podcast: Branding I devised 96. Court Report 19/09/2026 (1) @ 17:30 97. Retro Road Test: Audi A6 Allroad vs Volvo XC70 (2002) 98. Property Requirement 09/2026 – South Coast UK 99. Retro Road Test: Alfa Romeo 75 vs. Saab 900: 100. Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 101. Podcast: Retro Road Test: Lancia Thema vs Vauxhall Carlton (1990, UK Spec) 102. Why “Randy Mandy” Should Be a Warning to All Employers and Boards 103. Fuel Shortages 104. Liveaboard Boat Required June 2026 105. Retro Road Test: Suzuki Hayabusa vs Honda Fireblade (1999) 106. Podcast: Teacher’s Arrogance: Why Is It A Big Problem? 107. Announcing The Quick Stats Widget 108. Media Conference: NHS Business Services Authority. Mr Court Guinness and Fraud. 109. Boat Test: Fleming 58 and the Grand Banks Aleutian 59 110. Podcast: Testing Latest Court Report Format As A Podcast 111. Land and Sites Required Nationwide 112. Late August 2026 Advertised Requirements 113. Podcast Update: September 2026 114. Samsung Telly’s 115. Unpaid, Late, and Aged Debt from 01/07/2022 116. Mini Update From Court Guinness 117. Updated Site List June 2021 118. Retro Tech: Borland Sidekick Vs Symantec Act! 119. Podcast: Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 120. Retro Road test: Toyota Land Cruiser vs Mitsubishi Shogun 121. Podcast: I Wonder What Is Happening In Retail 122. The Latest News From Court 123. Olympics Planning 124. Press Release 125. The Surrey Special Edition Slideshare

    #2024 #blog #bulletin #community #courtGuinness #news #report #september2024 #topPosts #writing
  4. Most Popular Content – September 2026


    Please find below a list of the most popular posts on this website for September 2026. Which one is your favourite?

    1. Why Data Normalisation Has Gone Out of Fashion 2. Podcast: Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 3. Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 4. The Top 20 Docker Containers Every Private Investor Should Run 5. Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier SRi 6. Court Guinness Big Birthday Update 2026 7. Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 8. Early September 2026 Advertised Requirements 9. A Comparative Analysis of the Jeanneau Merry Fisher and Beneteau Antares: Choosing Your Perfect Cruising Companion 10. Retro Road Test: Citroën Xantia 1.8i SX v Ford Mondeo 1.8 LX 11. Podcast: Building a Bloomberg Terminal on a Budget Using Open Source Software 12. Microblog: Visitor Statistics : September 2026 13. Retro Road Test: Peugeot 306 1.4 XL v Vauxhall Astra 1.4 GLS 14. Mid September 2026 Advertised Requirements 15. Podcast: A few things you do not know about Court. 16. The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 17. Court Report 05/09/2026 (1) @ 19:35 18. Podcast: So The Public Sector Are Complaining Again! 19. Podcast:The Self-Hosted Family Office: Open Source Tools for High Net Worth Investors 20. Nextcloud Vs Pydio 21. Podcast: Retro Road Test: Alfa Romeo 155 2.0 Twin Spark vs BMW 320i 22. Speech Given By Court Guinness On Reaching 1,000 Days With a Continual Headache 23. Podcast: Retro Road Test: Nissan Bluebird ZX Turbo vs Vauxhall Cavalier Sri 24. Fiat Cinquecento vs Peugeot 106 25. Retro Road Test: Jaguar X-Type 2.5 V6 vs Rover 75 2.5 V6 26. Joint Venture Opportunity 27. The Rap Sheet 28. A few things you do not know about Court. 29. 51 30. Coastal Lifestyle Business Sought – September 2026 31. A Retro Road Test! Happy Eater Vs Little Chef 32. Building a Bloomberg Terminal on a Budget Using Open Source Software 33. Property Requirement 09/2026 – North West UK 34. New Jobs Available  – Business Consultants 35. Court Report 10/09/2026 (1) @ 19:00 36. Podcast: Fiat Cinquecento vs Peugeot 106 37. Event: Headache Party 07/10/2026 38. 1,000 Days Party 39. 2,000 Days Party 40. Court Report 14/09/2026 (1) @ 21:55 41. Mid September 2026 Advertised Requirements 42. Podcast: The Top 20 Docker Containers Every Private Investor Should Run 43. Contact Court 44. Microblog: Headache Blog 18/09/2026 45. Lucy’s Rap Sheet – September 2026 46. Late September 2026 Advertised Requirements 47. Court Report 30/08/2026 (1) @ 19:35 48. Retro Tech: A Tale of Two Titans: Commodore 64 vs. Amstrad CPC 464 49. Lucy’s Message September 2026 50. So The Public Sector Are Complaining Again! 51. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 52. Retro Road Test: Ford Granada vs Vauxhall Carlton — 1990 road test (2.0-litre) 53. Podcast: Early August 2026 Advertised Requirements 54. M62 Belt Requirements September 2026 55. Doing A Crap Job 56. Podcast: Early September 2026 Advertised Requirements 57. A Comprehensive Comparison Between Lotus Approach and Microsoft Access 58. Retro Road Test: 1983 Vauxhall Astra GTE vs. 1983 Volkswagen Golf GTI 59. Retro Road Test: BMW 750iL vs Mercedes-Benz 500SEL (1992) 60. House Swap Brochure 61. Retro Road Test: BMW 735i vs Lexus LS400 (1990) 62. Podcast: Retro Road Test: 1986 Austin Maestro 1.3 vs Toyota Corolla 1.3 63. Retro Road Tests: Vehicle List: September 2026 64. Welsh Borders Requirements September 2026 65. Retro Road Tests: Vehicle List: September 2025 66. Update On This Site 10/04/2021 67. Revised Full Road Test Directory – September 2026 68. Homepage (Latest posts) 69. MicroBlog: August 2026 Statistics 70. Ewell Systems Appointed By Adobe 71. Most Popular Content  – August 2026 72. Restaurant Premises Required In Tyne and Wear 73. Podcast Update: September 2024 74. Microblog: Headache Blog 04/01/2023 75. It’s Lucy I Have Moved My Website Here 76. Court Report 14/08/2026 (1) @ 05:10 77. Vending Business Opportunities : December 2020 78. Shopping: Samsung Telly’s March 2017 79. Bullet Point Update 29/05/20 80. Sheffield/Peak District/South Yorkshire Requirements April 2025 81. Why the NHS 1–10 Pain Scale is Not Fit for Purpose and Should Be Replaced 82. Retro Road Test: Mazda Xedos 6 vs Volvo 850  (1993 specs, UK) 83. A Quick Word About Content In The Trade House Magazine – August 2020 84. Retro Road Test: Talbot Tagora vs Ford Granada 85. Microblog: 26/03/2020 Irish IP Address blocking 86. Please consider subscribing to my newsletter 87. National Balance Awareness Week 2026 88. BlueSky – September 2026 89. Stolen Watch – September 2026 90. Retro Road Test: Alfa Romeo 164 Cloverleaf vs Lancia Thema Turbo (1991) 91. Retro Road Test: Fiat 131 vs Ford Cortina (1981 UK Specs) 92. Mid May Tech Update 1/Latest Microsoft Surface Review. 93. Microblog: Target Reached: 2,000,000 94. Repost: Market Comment March 2020 95. Podcast: Branding I devised 96. Court Report 19/09/2026 (1) @ 17:30 97. Retro Road Test: Audi A6 Allroad vs Volvo XC70 (2002) 98. Property Requirement 09/2026 – South Coast UK 99. Retro Road Test: Alfa Romeo 75 vs. Saab 900: 100. Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 101. Podcast: Retro Road Test: Lancia Thema vs Vauxhall Carlton (1990, UK Spec) 102. Why “Randy Mandy” Should Be a Warning to All Employers and Boards 103. Fuel Shortages 104. Liveaboard Boat Required June 2026 105. Retro Road Test: Suzuki Hayabusa vs Honda Fireblade (1999) 106. Podcast: Teacher’s Arrogance: Why Is It A Big Problem? 107. Announcing The Quick Stats Widget 108. Media Conference: NHS Business Services Authority. Mr Court Guinness and Fraud. 109. Boat Test: Fleming 58 and the Grand Banks Aleutian 59 110. Podcast: Testing Latest Court Report Format As A Podcast 111. Land and Sites Required Nationwide 112. Late August 2026 Advertised Requirements 113. Podcast Update: September 2026 114. Samsung Telly’s 115. Unpaid, Late, and Aged Debt from 01/07/2022 116. Mini Update From Court Guinness 117. Updated Site List June 2021 118. Retro Tech: Borland Sidekick Vs Symantec Act! 119. Podcast: Retro Road Test: 1994 Porsche 928 GTS vs Jaguar XJS 4.0 & V12 120. Retro Road test: Toyota Land Cruiser vs Mitsubishi Shogun 121. Podcast: I Wonder What Is Happening In Retail 122. The Latest News From Court 123. Olympics Planning 124. Press Release 125. The Surrey Special Edition Slideshare

    #2024 #blog #bulletin #community #courtGuinness #news #report #september2024 #topPosts #writing
  5. Just what I needed. A company executive using a video from a #polarizing and #divisive figure in the software industry to try to send a message to the company's workers.

    I would hope that someone at that level would try to find less #problematic #messenger for the message. Until they do, I think I won't bother with the message.

    This executive has #disappointed me several times recently and I hope someone near their level talks to them about some of their poor #choices.

  6. Just what I needed. A company executive using a video from a #polarizing and #divisive figure in the software industry to try to send a message to the company's workers.

    I would hope that someone at that level would try to find less #problematic #messenger for the message. Until they do, I think I won't bother with the message.

    This executive has #disappointed me several times recently and I hope someone near their level talks to them about some of their poor #choices.

  7. This week, the @dnsoarc board and staff gathered for a retreat to shape strategy for the coming years. We outlined plans to enhance workshops and raise the value of our software, services, and research portfolio. These choices also guide our search for a new president, which is progressing nicely.

    We look forward to sharing updates at the next workshop in Vancouver.

    On a personal note, I think it’s really rewarding to share my experiences running a small non-profit and to find common ingredients to make DNS OARC successful and sustainable.

    Many thanks to CIRA for hosting and facilitating this meeting. We finally captured a photo of the full board together. ❤️🍁

    #DNS #OpenSource #NonProfit

  8. This week, the @dnsoarc board and staff gathered for a retreat to shape strategy for the coming years. We outlined plans to enhance workshops and raise the value of our software, services, and research portfolio. These choices also guide our search for a new president, which is progressing nicely.

    We look forward to sharing updates at the next workshop in Vancouver.

    On a personal note, I think it’s really rewarding to share my experiences running a small non-profit and to find common ingredients to make DNS OARC successful and sustainable.

    Many thanks to CIRA for hosting and facilitating this meeting. We finally captured a photo of the full board together. ❤️🍁

  9. This week, the @dnsoarc board and staff gathered for a retreat to shape strategy for the coming years. We outlined plans to enhance workshops and raise the value of our software, services, and research portfolio. These choices also guide our search for a new president, which is progressing nicely.

    We look forward to sharing updates at the next workshop in Vancouver.

    On a personal note, I think it’s really rewarding to share my experiences running a small non-profit and to find common ingredients to make DNS OARC successful and sustainable.

    Many thanks to CIRA for hosting and facilitating this meeting. We finally captured a photo of the full board together. ❤️🍁

    #DNS #OpenSource #NonProfit

  10. This week, the @dnsoarc board and staff gathered for a retreat to shape strategy for the coming years. We outlined plans to enhance workshops and raise the value of our software, services, and research portfolio. These choices also guide our search for a new president, which is progressing nicely.

    We look forward to sharing updates at the next workshop in Vancouver.

    On a personal note, I think it’s really rewarding to share my experiences running a small non-profit and to find common ingredients to make DNS OARC successful and sustainable.

    Many thanks to CIRA for hosting and facilitating this meeting. We finally captured a photo of the full board together. ❤️🍁

    #DNS #OpenSource #NonProfit

  11. MILK Protocol: A Predictive Kinematic Intelligence Framework for Autonomous Reality-State Modification

    Author: pasjrwoctx👽
    Concept Proposal by S*A*R*A*H Research Initiative

    Version: 1.0
    Field: Robotics, Cybernetics, Autonomous Systems, Control Theory, Digital Twins, AI

    This paper introduces the Mechanized Intelligence Link Kinematically (MILK) Protocol, a generalized framework for autonomous systems that continuously model, predict, simulate, and modify physical environments through intelligent kinetic action.
    Unlike traditional control architectures that optimize isolated actions, MILK treats every motion as a state-transforming event within a dynamic reality model. The protocol combines sensor fusion, predictive world modeling, digital-twin simulation, model predictive control (MPC), and machine learning into a unified architecture.
    MILK defines quantitative metrics for measuring the influence of actions on future world states, enabling intelligent agents to maximize desired outcomes while minimizing uncertainty, energy expenditure, and risk.
    A prototype implementation using a mobile robotic platform demonstrates how MILK can be experimentally validated under real-world conditions.
    Keywords: #cybernetics, #robotics, #autonomoussystems, #digitaltwins, #worldmodels, #predictiveintelligence, #human-machineinteraction

    Click to view full article
    1. Introduction
    Modern autonomous systems react to environments.
    MILK proposes a stronger paradigm:
    Every action is selected according to its projected influence on future reality states.
    The protocol assumes:
        1. Every kinetic action produces measurable state transitions. 
        2. Future states can be estimated probabilistically. 
        3. Better predictions yield better interventions. 
        4. An autonomous agent should optimize future-state outcomes rather than immediate responses. 
    This creates a closed-loop architecture capable of continuously shaping environments toward desired objectives.
    
    2. Theoretical Foundation
    Let a system state be represented as:
    StS_tSt​ 
    where:
        • StS_tSt​ = complete observable state at time t. 
    An action:
    AtA_tAt​ 
    produces a transition:
    St+1S_{t+1}St+1​ 
    such that:
    St+1=f(St,At,Et)S_{t+1}=f(S_t,A_t,E_t)St+1​=f(St​,At​,Et​) 
    where:
        • EtE_tEt​ represents environmental factors. 
    
    3. MILK Dynamic Equation
    The original conceptual equation:
    A+B(1/C)=XA + B(1/C)=XA+B(1/C)=X 
    is formalized as:
    Xt=At+KtUtX_t=A_t+\frac{K_t}{U_t}Xt​=At​+Ut​Kt​​ 
    where:
    Variable	Meaning
    Aₜ	Intended action vector
    Kₜ	Environmental coupling factor
    Uₜ	Uncertainty score
    Xₜ	Predicted state change
    Interpretation:
        • Strong environmental knowledge increases precision. 
        • Higher uncertainty reduces influence prediction accuracy. 
        • Outcome estimates improve as uncertainty approaches zero. 
    
    4. Reality-State Modification Index
    MILK introduces:
    Reality Modification Index (RMI)
    RMI=∣∣Sfuture−Scurrent∣∣RMI=||S_{future}-S_{current}||RMI=∣∣Sfuture​−Scurrent​∣∣ 
    Where:
        • large values indicate substantial environmental change. 
        • small values indicate minimal influence. 
    Examples:
    Action	Approximate RMI
    Pick up object	Low
    Open door	Low
    Rearrange room	Medium
    Coordinate factory robots	High
    Optimize city traffic	Very High
    The RMI provides a measurable definition of "reality alteration."
    
    5. Architecture
    MILK consists of five primary layers.
    Layer 1: Perception
    Inputs:
        • Cameras 
        • LiDAR 
        • IMU 
        • Microphones 
        • Tactile sensors 
        • GPS 
    Outputs:
    WtW_tWt​ 
    Current world model.
    
    Layer 2: World Construction
    Sensor fusion constructs:
    Wt={Objects,Humans,Locations,Conditions}W_t = \{Objects,Humans,Locations,Conditions\}Wt​={Objects,Humans,Locations,Conditions} 
    Methods:
        • SLAM 
        • Kalman filters 
        • Bayesian estimation 
    
    Layer 3: Predictive Simulation
    Generate:
    Wt+1,Wt+2,...,Wt+nW_{t+1},W_{t+2},...,W_{t+n}Wt+1​,Wt+2​,...,Wt+n​ 
    using:
        • Transformer world models 
        • Reinforcement learning 
        • Physics simulation 
        • Digital twins 
    
    Layer 4: Kinematic Optimization
    Find optimal action sequence:
    A∗=argmin(J)A^*=argmin(J)A∗=argmin(J) 
    where
    J=Error+Risk+Energy+TimeJ=Error+Risk+Energy+TimeJ=Error+Risk+Energy+Time 
    
    Layer 5: Reality Verification
    After action execution:
    Error=Sactual−SpredictedError=S_{actual}-S_{predicted}Error=Sactual​−Spredicted​ 
    Model updates:
    Modelnew=Modelold+Learning(Error)Model_{new}=Model_{old}+Learning(Error)Modelnew​=Modelold​+Learning(Error) 
    
    6. SARAH Autonomous Agent
    SARAH (Simulated Augmented Reality Assistant Human)
    is defined as a humanoid embodiment of MILK.
    Core modules:
    Self Localization
    Maintains position estimate.
    Predictive Cognition
    Simulates future states.
    Adaptive Learning
    Updates behavior from errors.
    Reality Synchronization Engine
    Maintains consistency between:
        • Model 
        • Prediction 
        • Observation 
    
    7. Experimental Hypothesis
    Hypothesis:
    A MILK-controlled robot will produce significantly lower state-transition error than a conventional reactive controller.
    Independent Variable:
        • Control architecture 
    Dependent Variables:
        • Path accuracy 
        • Task completion rate 
        • Energy consumption 
        • Prediction accuracy 
        • RMI efficiency 
    
    8. Testable Prototype Design
    Prototype Name
    MILK-P1
    
    Hardware
    Compute
        • NVIDIA Jetson Orin Nano 
        • Raspberry Pi 5 
    Sensors
        • Intel RealSense D455 
        • 9-axis IMU 
        • Wheel encoders 
        • Microphone array 
    Mobility
        • Differential drive robot base 
    Optional
        • 4 DOF robotic arm 
    Estimated cost:
    $800-$2500
    
    Software Stack
    Operating System
    Ubuntu 24.04
    Middleware
    ROS2
    Vision
    OpenCV
    AI
    PyTorch
    Simulation
    Gazebo
    Digital Twin
    NVIDIA Isaac Sim
    
    9. Experimental Environment
    Construct a room containing:
        • Chairs 
        • Boxes 
        • Doors 
        • Human participants 
    Robot objective:
    Navigate from Point A to Point B while:
        • avoiding obstacles 
        • responding to environmental changes 
        • predicting future movement of agents 
    
    10. Test Sequence
    Trial 1
    Reactive Controller
    Robot responds only after detecting changes.
    Measure:
        • collisions 
        • errors 
        • time 
    
    Trial 2
    MILK Controller
    Robot predicts:
        • moving obstacles 
        • human paths 
        • object displacement 
    before motion occurs.
    Measure:
        • prediction accuracy 
        • RMI 
        • completion time 
    
    11. Performance Metrics
    Predictive Accuracy
    PA=1−∣Predicted−Actual∣PA=1-|Predicted-Actual|PA=1−∣Predicted−Actual∣ 
    
    Reality Modification Efficiency
    RME=DesiredStateChangeEnergyUsedRME=\frac{DesiredStateChange}{EnergyUsed}RME=EnergyUsedDesiredStateChange​ 
    
    State Synchronization Error
    SSE=∣Sactual−Spredicted∣SSE=|S_{actual}-S_{predicted}|SSE=∣Sactual​−Spredicted​∣ 
    
    Autonomous Intelligence Score
    AIS=PA×RMESSEAIS=\frac{PA \times RME}{SSE}AIS=SSEPA×RME​ 
    Higher is better.
    
    12. Expected Outcomes
    MILK should demonstrate:
        • Reduced path planning errors 
        • Better obstacle avoidance 
        • Lower energy expenditure 
        • More accurate future-state predictions 
        • Improved adaptation to dynamic environments 
    
    13. Future Development
    MILK-P2:
        • Full humanoid embodiment 
        • Whole-body control 
        • Multi-agent coordination 
    MILK-P3:
        • Swarm intelligence 
        • Distributed digital twins 
        • Cloud synchronization 
    MILK-P4:
        • Human cognitive state modeling 
        • Intent prediction 
        • Collaborative decision systems 
    
    Conclusion
    The MILK Protocol transforms the philosophical concept of "reality alteration" into a measurable engineering framework based on state-space control, predictive simulation, digital twins, and autonomous learning.
    Rather than altering reality in a supernatural sense, MILK quantifies how intelligent actions reshape future physical states and provides a mathematical basis for designing systems, such as SARAH, that can optimize those state transitions with increasing precision. The proposed MILK-P1 prototype is immediately testable using existing robotics hardware and modern AI infrastructure, making the protocol falsifiable, measurable, and suitable for academic research and experimental validation.


    Click to view code
    #!/usr/bin/env python3
    # -*- coding: utf-8 -*-
    """
    MILK Protocol v1.0 -- Reference Implementation
    ==============================================
    
    A Predictive Kinematic Intelligence Framework for
    Autonomous Reality-State Modification.
    
    This module implements the architecture described in:
    
        "MILK Protocol: A Predictive Kinematic Intelligence Framework
         for Autonomous Reality-State Modification"
         Concept Proposal by SARAH Research Initiative, v1.0
    
    Contents
    --------
      Layer 1  PerceptionLayer          -- sensors -> SensorFrame
      Layer 2  WorldModel               -- sensor fusion -> W_t (tracked objects)
      Layer 3  PredictiveSimulator      -- W_t -> W_{t+1} .. W_{t+n}
      Layer 4  KinematicOptimizer       -- argmin J = Error+Risk+Energy+Time
      Layer 5  RealityVerifier          -- SSE -> model adaptation
      Math     milk_dynamic_equation    -- X_t = A_t + K_t / U_t
      Metric   reality_modification_index (RMI), PA, RME, SSE, AIS
      Agent    SARAH                    -- humanoid embodiment of MILK
    
    Run:
        python milk_protocol.py --help
        python milk_protocol.py --demo                 # single rendered episode
        python milk_protocol.py --trials 5             # full experiment
        python milk_protocol.py --selftest             # unit checks
    
    Dependencies: numpy only.
    """
    
    from __future__ import annotations
    
    import argparse
    import json
    import math
    import sys
    import time
    from dataclasses import dataclass, field, asdict
    from typing import Dict, List, Optional, Sequence, Tuple
    
    import numpy as np
    
    # =====================================================================
    # 0.  Utilities
    # =====================================================================
    
    EPS = 1e-9
    
    
    def wrap_angle(a: float) -> float:
        """Wrap an angle to (-pi, pi]."""
        return (a + math.pi) % (2.0 * math.pi) - math.pi
    
    
    def integrate_diff_drive(pose: np.ndarray,
                             vel: np.ndarray,
                             action: np.ndarray,
                             cfg: "MILKConfig") -> Tuple[np.ndarray, np.ndarray]:
        """
        Shared differential-drive integrator used by BOTH the environment and
        the predictive simulator.  Keeping them identical means any residual
        prediction error comes from sensing noise / unmodelled slip, not from a
        model mismatch -- which is exactly what the Reality Verification layer
        (Layer 5) is supposed to measure.
    
        pose   : (x, y, theta)
        vel    : (v, omega)
        action : (v_cmd, omega_cmd)  -- rate limited by a_max / alpha_max
        """
        dt = cfg.dt
        v = float(vel[0]) + float(np.clip(action[0] - vel[0], -cfg.a_max * dt, cfg.a_max * dt))
        w = float(vel[1]) + float(np.clip(action[1] - vel[1], -cfg.alpha_max * dt, cfg.alpha_max * dt))
        x = float(pose[0]) + v * math.cos(pose[2]) * dt
        y = float(pose[1]) + v * math.sin(pose[2]) * dt
        th = wrap_angle(float(pose[2]) + w * dt)
        return np.array([x, y, th]), np.array([v, w])
    
    
    def ray_circle(ox: float, oy: float, dx: float, dy: float,
                   cx: float, cy: float, r: float) -> float:
        """Distance along unit ray (dx,dy) from (ox,oy) to circle, or inf."""
        fx, fy = ox - cx, oy - cy
        b = 2.0 * (fx * dx + fy * dy)
        c = fx * fx + fy * fy - r * r
        disc = b * b - 4.0 * c
        if disc < 0.0:
            return float("inf")
        sq = math.sqrt(disc)
        t1 = (-b - sq) / 2.0
        t2 = (-b + sq) / 2.0
        if t1 > 1e-6:
            return t1
        if t2 > 1e-6:
            return t2
        return float("inf")
    
    
    # =====================================================================
    # 1.  Configuration
    # =====================================================================
    
    @dataclass
    class MILKConfig:
        """All tunable parameters of the MILK stack."""
    
        # -- timing -------------------------------------------------------
        dt: float = 0.10
        horizon: int = 12
    
        # -- robot limits -------------------------------------------------
        v_max: float = 1.20
        omega_max: float = 1.80
        a_max: float = 2.00
        alpha_max: float = 4.00
        robot_radius: float = 0.22
    
        # -- sensor model -------------------------------------------------
        sensor_range: float = 6.00
        n_rays: int = 72
        range_sigma: float = 0.020
        gps_sigma: float = 0.040
        compass_sigma: float = 0.030
        encoder_sigma: float = 0.020
        gyro_sigma: float = 0.030
        detect_sigma: float = 0.080
        p_detect: float = 0.92
    
        # -- environment process noise (wheel slip, unmodelled dynamics) --
        slip_v: float = 0.020
        slip_w: float = 0.030
    
        # -- MILK dynamic equation ---------------------------------------
        u_min: float = 1e-3          # floor on uncertainty (avoids K/U blow-up)
    
        # -- optimizer weights  (J = Error + Risk + Energy + Time) --------
        w_error: float = 1.00
        w_risk: float = 6.00
        w_energy: float = 0.20
        w_time: float = 0.05
        w_smooth: float = 0.30
    
        # -- optimizer sampling -------------------------------------------
        n_v_samples: int = 5
        n_w_samples: int = 11
        n_random: int = 60
    
        # -- world model ---------------------------------------------------
        track_q: float = 0.35        # KF process noise
        track_timeout: int = 8       # frames before a track is dropped
    
        # -- metrics -------------------------------------------------------
        w_sse_pose: float = 1.00
        w_sse_obj: float = 1.00
        sse_scale: float = 0.50      # normalisation for Predictive Accuracy
    
        # -- misc ----------------------------------------------------------
        seed: int = 0
    
    
    # =====================================================================
    # 2.  Environment  (the "real world")
    # =====================================================================
    
    @dataclass
    class Circle:
        x: float
        y: float
        r: float
    
    
    @dataclass
    class Human:
        id: int
        x: float
        y: float
        vx: float
        vy: float
        r: float = 0.30
    
    
    class RoomEnvironment:
        """
        Ground-truth simulator.  A rectangular room containing static circular
        obstacles and moving humans.  The robot is a differential-drive base.
    
        Nothing in this class is visible to the controllers except through the
        PerceptionLayer.
        """
    
        def __init__(self, cfg: MILKConfig, seed: int = 0,
                     n_static: int = 6, n_humans: int = 2):
            self.cfg = cfg
            self.rng = np.random.default_rng(seed)
    
            self.width = 10.0
            self.height = 8.0
    
            self.start = np.array([1.0, 1.0, 0.0])
            self.goal = np.array([self.width - 1.0, self.height - 1.0])
    
            self.robot_pose = self.start.copy()
            self.robot_vel = np.zeros(2)
    
            self.static: List[Circle] = []
            self._build_static(n_static)
    
            self.humans: List[Human] = []
            self._build_humans(n_humans)
    
            self.t = 0.0
            self.collision_events = 0
            self._in_collision = False
    
        # ------------------------------------------------------------------
        def _build_static(self, n: int) -> None:
            tries = 0
            while len(self.static) < n and tries < 2000:
                tries += 1
                r = float(self.rng.uniform(0.30, 0.60))
                x = float(self.rng.uniform(r + 0.3, self.width - r - 0.3))
                y = float(self.rng.uniform(r + 0.3, self.height - r - 0.3))
                if math.hypot(x - self.start[0], y - self.start[1]) < 1.4:
                    continue
                if math.hypot(x - self.goal[0], y - self.goal[1]) < 1.4:
                    continue
                if any(math.hypot(x - c.x, y - c.y) < r + c.r + 0.7 for c in self.static):
                    continue
                self.static.append(Circle(x, y, r))
    
        def _build_humans(self, n: int) -> None:
            for i in range(n):
                x = float(self.rng.uniform(2.0, self.width - 2.0))
                y = float(self.rng.uniform(2.0, self.height - 2.0))
                ang = float(self.rng.uniform(0, 2 * math.pi))
                sp = float(self.rng.uniform(0.25, 0.55))
                self.humans.append(Human(i, x, y, sp * math.cos(ang), sp * math.sin(ang)))
    
        # ------------------------------------------------------------------
        # Kinematics / dynamics
        # ------------------------------------------------------------------
        def step(self, action: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
            """Advance the world by one dt. Returns (new_pose, new_vel)."""
            cfg = self.cfg
            new_pose, new_vel = integrate_diff_drive(self.robot_pose, self.robot_vel, action, cfg)
    
            # unmodelled slip / process noise -- this is what makes prediction hard
            new_vel = new_vel + self.rng.normal(0.0, [cfg.slip_v, cfg.slip_w])
            new_pose[2] = wrap_angle(new_pose[2] + self.rng.normal(0.0, 0.01))
    
            self.robot_pose = new_pose
            self.robot_vel = new_vel
    
            self._step_humans(cfg.dt)
    
            self.t += cfg.dt
    
            # collision bookkeeping
            hit = self.check_collision()
            if hit and not self._in_collision:
                self.collision_events += 1
            self._in_collision = hit
    
            return self.robot_pose.copy(), self.robot_vel.copy()
    
        def _step_humans(self, dt: float) -> None:
            for h in self.humans:
                h.vx += float(self.rng.normal(0.0, 0.25)) * dt
                h.vy += float(self.rng.normal(0.0, 0.25)) * dt
                sp = math.hypot(h.vx, h.vy)
                if sp > 0.85:
                    h.vx *= 0.85 / sp
                    h.vy *= 0.85 / sp
                h.x += h.vx * dt
                h.y += h.vy * dt
                if h.x < h.r:
                    h.x = h.r
                    h.vx = abs(h.vx)
                elif h.x > self.width - h.r:
                    h.x = self.width - h.r
                    h.vx = -abs(h.vx)
                if h.y < h.r:
                    h.y = h.r
                    h.vy = abs(h.vy)
                elif h.y > self.height - h.r:
                    h.y = self.height - h.r
                    h.vy = -abs(h.vy)
    
        # ------------------------------------------------------------------
        # Sensing primitives (used by the PerceptionLayer)
        # ------------------------------------------------------------------
        def raycast(self, pose: np.ndarray, angles: np.ndarray) -> np.ndarray:
            """Ideal (noise-free) range readings for a fan of rays."""
            ox, oy, oth = float(pose[0]), float(pose[1]), float(pose[2])
            rng_max = self.cfg.sensor_range
            out = np.full(len(angles), rng_max, dtype=float)
            targets = [(c.x, c.y, c.r) for c in self.static]
            targets += [(h.x, h.y, h.r) for h in self.humans]
    
            for i, a in enumerate(angles):
                ang = oth + float(a)
                dx, dy = math.cos(ang), math.sin(ang)
                t = self._wall_distance(ox, oy, dx, dy)
                for (cx, cy, cr) in targets:
                    tc = ray_circle(ox, oy, dx, dy, cx, cy, cr)
                    if tc < t:
                        t = tc
                out[i] = min(t, rng_max)
            return out
    
        def _wall_distance(self, ox: float, oy: float, dx: float, dy: float) -> float:
            ts = []
            if dx > EPS:
                ts.append((self.width - ox) / dx)
            elif dx < -EPS:
                ts.append((0.0 - ox) / dx)
            if dy > EPS:
                ts.append((self.height - oy) / dy)
            elif dy < -EPS:
                ts.append((0.0 - oy) / dy)
            ts = [t for t in ts if t > EPS]
            return min(ts) if ts else float("inf")
    
        def check_collision(self) -> bool:
            rx, ry = float(self.robot_pose[0]), float(self.robot_pose[1])
            rr = self.cfg.robot_radius
            for c in self.static:
                if math.hypot(rx - c.x, ry - c.y) < rr + c.r:
                    return True
            for h in self.humans:
                if math.hypot(rx - h.x, ry - h.y) < rr + h.r:
                    return True
            if rx < rr or rx > self.width - rr or ry < rr or ry > self.height - rr:
                return True
            return False
    
        # ------------------------------------------------------------------
        def ground_truth(self) -> Dict:
            """The state the controller is trying to predict."""
            return {
                "pose": self.robot_pose.copy(),
                "vel": self.robot_vel.copy(),
                "objects": {h.id: np.array([h.x, h.y]) for h in self.humans},
            }
    
        def goal_distance(self) -> float:
            return float(np.linalg.norm(self.robot_pose[:2] - self.goal))
    
    
    # =====================================================================
    # 3.  Layer 1 -- Perception
    # =====================================================================
    
    @dataclass
    class SensorFrame:
        t: float
        dt: float
        angles: np.ndarray
        ranges: np.ndarray
        gps_xy: np.ndarray
        compass_theta: float
        encoder_v: float
        gyro_w: float
        detections: Dict[int, np.ndarray]   # object id -> noisy (x, y)
    
    
    class PerceptionLayer:
        """Layer 1: raw, noisy, partial observation of the world."""
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.rng = np.random.default_rng(seed + 1234)
            self.angles = np.linspace(-math.pi, math.pi, cfg.n_rays, endpoint=False)
    
        def sense(self, env: RoomEnvironment) -> SensorFrame:
            cfg = self.cfg
            pose = env.robot_pose
    
            # --- LiDAR / depth -------------------------------------------
            ranges = env.raycast(pose, self.angles)
            ranges = np.clip(ranges + self.rng.normal(0.0, cfg.range_sigma, ranges.shape),
                             0.0, cfg.sensor_range)
    
            # --- GPS ------------------------------------------------------
            gps = pose[:2] + self.rng.normal(0.0, cfg.gps_sigma, 2)
    
            # --- IMU / compass -------------------------------------------
            compass = wrap_angle(pose[2] + float(self.rng.normal(0.0, cfg.compass_sigma)))
            gyro = float(env.robot_vel[1] + self.rng.normal(0.0, cfg.gyro_sigma))
    
            # --- wheel encoders ------------------------------------------
            enc = float(env.robot_vel[0] + self.rng.normal(0.0, cfg.encoder_sigma))
    
            # --- object detector (people / dynamic agents) ---------------
            detections: Dict[int, np.ndarray] = {}
            for h in env.humans:
                d = math.hypot(h.x - pose[0], h.y - pose[1])
                if d > cfg.sensor_range:
                    continue
                if self.rng.random() > cfg.p_detect:
                    continue
                z = np.array([h.x, h.y]) + self.rng.normal(0.0, cfg.detect_sigma, 2)
                detections[h.id] = z
    
            return SensorFrame(
                t=env.t, dt=cfg.dt, angles=self.angles, ranges=ranges,
                gps_xy=gps, compass_theta=compass, encoder_v=enc, gyro_w=gyro,
                detections=detections,
            )
    
    
    # =====================================================================
    # 4.  Layer 2 -- World Construction  (sensor fusion -> W_t)
    # =====================================================================
    
    class TrackedObject:
        """Constant-velocity Kalman filter: state = [x, y, vx, vy]."""
    
        def __init__(self, oid: int, x: float, y: float,
                     vx: float = 0.0, vy: float = 0.0):
            self.id = oid
            self.x = np.array([x, y, vx, vy], dtype=float)
            self.P = np.diag([0.25, 0.25, 1.00, 1.00])
            self.missed = 0
    
        def predict(self, dt: float, q: float) -> None:
            F = np.array([[1, 0, dt, 0],
                          [0, 1, 0, dt],
                          [0, 0, 1, 0],
                          [0, 0, 0, 1]], dtype=float)
            Q = q * np.diag([dt ** 4 / 4.0, dt ** 4 / 4.0, dt ** 2, dt ** 2])
            self.x = F @ self.x
            self.P = F @ self.P @ F.T + Q
    
        def update(self, z: np.ndarray, R: np.ndarray) -> None:
            H = np.array([[1, 0, 0, 0], [0, 1, 0, 0]], dtype=float)
            y = z - H @ self.x
            S = H @ self.P @ H.T + R
            K = self.P @ H.T @ np.linalg.inv(S)
            self.x = self.x + K @ y
            self.P = (np.eye(4) - K @ H) @ self.P
            self.missed = 0
    
        # -- convenience ---------------------------------------------------
        @property
        def position(self) -> np.ndarray:
            return self.x[:2].copy()
    
        @property
        def velocity(self) -> np.ndarray:
            return self.x[2:].copy()
    
        @property
        def pos_var(self) -> float:
            return float(self.P[0, 0] + self.P[1, 1])
    
        @property
        def vel_var(self) -> float:
            return float(self.P[2, 2] + self.P[3, 3])
    
    
    class WorldModel:
        """
        Layer 2: builds the current world model
            W_t = { Objects, Humans, Locations, Conditions }
        from noisy sensor frames using a pose EKF + per-object Kalman filters.
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
            self.pose = np.zeros(3)
            self.pose_cov = np.diag([1.0, 1.0, 0.5])
            self.vel = np.zeros(2)
            self.objects: Dict[int, TrackedObject] = {}
            self.q_scale = 1.0          # adapted by Layer 5
            self.initialised = False
            self.t = 0.0
    
        # ------------------------------------------------------------------
        def fuse(self, frame: SensorFrame) -> None:
            cfg = self.cfg
            dt = frame.dt
    
            if not self.initialised:
                self.pose = np.array([frame.gps_xy[0], frame.gps_xy[1], frame.compass_theta])
                self.initialised = True
            else:
                self._predict_pose(dt, frame.encoder_v, frame.gyro_w)
    
            # predict all tracks forward to the current instant
            for o in self.objects.values():
                o.predict(dt, cfg.track_q * self.q_scale)
    
            # measurement updates
            self._update_pose(frame.gps_xy, frame.compass_theta)
    
            R = np.eye(2) * (cfg.detect_sigma ** 2)
            for oid, z in frame.detections.items():
                if oid in self.objects:
                    self.objects[oid].update(z, R)
                else:
                    self.objects[oid] = TrackedObject(oid, float(z[0]), float(z[1]))
    
            # age out stale tracks
            dead = []
            for oid, o in self.objects.items():
                if oid not in frame.detections:
                    o.missed += 1
                    if o.missed > cfg.track_timeout:
                        dead.append(oid)
            for oid in dead:
                del self.objects[oid]
    
            self.vel = np.array([frame.encoder_v, frame.gyro_w])
            self.t = frame.t
    
        # ------------------------------------------------------------------
        def _predict_pose(self, dt: float, v: float, w: float) -> None:
            x, y, th = self.pose
            F = np.array([[1.0, 0.0, -v * math.sin(th) * dt],
                          [0.0, 1.0, v * math.cos(th) * dt],
                          [0.0, 0.0, 1.0]])
            self.pose = np.array([x + v * math.cos(th) * dt,
                                  y + v * math.sin(th) * dt,
                                  wrap_angle(th + w * dt)])
            Q = self.q_scale * np.diag([0.010, 0.010, 0.004])
            self.pose_cov = F @ self.pose_cov @ F.T + Q
    
        def _update_pose(self, z_xy: np.ndarray, z_th: float) -> None:
            cfg = self.cfg
            R = np.diag([cfg.gps_sigma ** 2, cfg.gps_sigma ** 2, cfg.compass_sigma ** 2])
            y = np.array([z_xy[0] - self.pose[0],
                          z_xy[1] - self.pose[1],
                          wrap_angle(z_th - self.pose[2])])
            S = self.pose_cov + R
            K = self.pose_cov @ np.linalg.inv(S)
            self.pose = self.pose + K @ y
            self.pose[2] = wrap_angle(self.pose[2])
            self.pose_cov = (np.eye(3) - K) @ self.pose_cov
    
        # ------------------------------------------------------------------
        def object_positions(self) -> Dict[int, np.ndarray]:
            return {oid: o.position for oid, o in self.objects.items()}
    
        def localisation_sigma(self) -> float:
            return math.sqrt(max(0.0, float(self.pose_cov[0, 0] + self.pose_cov[1, 1])))
    
    
    # =====================================================================
    # 5.  MILK Mathematics
    # =====================================================================
    
    @dataclass
    class MILKInfluence:
        """Container for the terms of the MILK dynamic equation."""
        A: np.ndarray      # intended action vector
        K: float           # environmental coupling factor
        U: float           # uncertainty score
        X: np.ndarray      # predicted state change
    
        @property
        def magnitude(self) -> float:
            return float(np.linalg.norm(self.X))
    
        def as_dict(self) -> Dict:
            return {"A": self.A.tolist(), "K": self.K, "U": self.U,
                    "X": self.X.tolist(), "|X|": self.magnitude}
    
    
    def milk_dynamic_equation(A, K: float, U: float, u_min: float = 1e-3):
        """
        The MILK dynamic equation:
    
            X_t = A_t + K_t / U_t
    
        A_t : intended action vector
        K_t : environmental coupling factor  (how strongly the agent's action
              couples into the environment)
        U_t : uncertainty score              (floored at u_min)
    
        NOTE ON NUMERICS
        ----------------
        As U -> 0 the term K/U diverges, exactly as the source document states
        ("outcome estimates improve as uncertainty approaches zero").  In a
        physical implementation U is floored at u_min, and X is used as a
        *relative influence score* -- not as a literal pose delta.
        """
        A = np.asarray(A, dtype=float)
        U_eff = max(float(U), float(u_min))
        return A + (float(K) / U_eff)
    
    
    def _sse_weights(n_objects: int, cfg: MILKConfig) -> np.ndarray:
        base = np.array([1.0, 1.0, 0.5,        # pose  (x, y, theta)
                         0.2, 0.2,             # velocity (v, omega)
                         1.0, 1.0])            # goal
        obj = np.ones(2 * n_objects)
        return np.concatenate([base, obj])
    
    
    def state_vector(pose, vel, goal, objects: Dict[int, np.ndarray]) -> np.ndarray:
        """
        Canonical flat state vector used for RMI / SSE computations.
        Object ordering is by ascending id so vectors are comparable.
        """
        parts = [np.asarray(pose, float)[:3],
                 np.asarray(vel, float)[:2],
                 np.asarray(goal, float)[:2]]
        for k in sorted(objects):
            parts.append(np.asarray(objects[k], float)[:2])
        return np.concatenate(parts)
    
    
    def reality_modification_index(s_a: np.ndarray,
                                   s_b: np.ndarray,
                                   weights: Optional[np.ndarray] = None) -> float:
        """
        Layer metric -- Reality Modification Index:
    
            RMI = || S_future - S_current ||
    
        Large values => substantial environmental change.
        Small values => minimal influence.
        """
        a = np.asarray(s_a, float)
        b = np.asarray(s_b, float)
        n = min(len(a), len(b))
        d = b[:n] - a[:n]
        if weights is not None:
            d = d * np.asarray(weights, float)[:n]
        return float(np.linalg.norm(d))
    
    
    # =====================================================================
    # 6.  Layer 3 -- Predictive Simulation
    # =====================================================================
    
    class PredictiveSimulator:
        """
        Layer 3: generate W_{t+1} .. W_{t+n} using the world model,
        a constant-velocity motion model for dynamic agents, and exact
        differential-drive kinematics for the ego robot.
    
        (A production system would swap this for a transformer world model or
        a PhysX/Isaac digital twin; the interface stays identical.)
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
    
        # ------------------------------------------------------------------
        def rollout_robot(self,
                          pose: np.ndarray,
                          vel: np.ndarray,
                          action_seq: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
            """Roll the ego robot forward under a candidate action sequence."""
            cfg = self.cfg
            traj = np.empty((len(action_seq) + 1, 3), dtype=float)
            vels = np.empty(len(action_seq), dtype=float)
    
            p = np.asarray(pose, float).copy()
            v = np.asarray(vel, float).copy()
            traj[0] = p
            for k in range(len(action_seq)):
                p, v = integrate_diff_drive(p, v, action_seq[k], cfg)
                traj[k + 1] = p
                vels[k] = v[0]
            return traj, vels
    
        # ------------------------------------------------------------------
        def predict_objects(self,
                            world: WorldModel) -> Dict[int, Tuple[np.ndarray, np.ndarray, float]]:
            """
            Predict each tracked dynamic object over the horizon.
    
            Returns {id: (positions (H+1,2), variances (H+1,), radius)}
            """
            cfg = self.cfg
            H = cfg.horizon
            dt = cfg.dt
            F = np.array([[1, 0, dt, 0],
                          [0, 1, 0, dt],
                          [0, 0, 1, 0],
                          [0, 0, 0, 1]], dtype=float)
            Q = cfg.track_q * np.diag([dt ** 4 / 4, dt ** 4 / 4, dt ** 2, dt ** 2])
    
            out: Dict[int, Tuple[np.ndarray, np.ndarray, float]] = {}
            for oid, obj in world.objects.items():
                x = obj.x.copy()
                P = obj.P.copy()
                pos = np.empty((H + 1, 2))
                var = np.empty(H + 1)
                pos[0] = x[:2]
                var[0] = P[0, 0] + P[1, 1]
                for k in range(H):
                    x = F @ x
                    P = F @ P @ F.T + Q
                    pos[k + 1] = x[:2]
                    var[k + 1] = P[0, 0] + P[1, 1]
                out[oid] = (pos, var, 0.30)   # 0.30 m nominal agent radius
            return out
    
        # ------------------------------------------------------------------
        def predict_next_objects(self,
                                 world: WorldModel) -> Dict[int, np.ndarray]:
            """One-step-ahead object prediction (used for the SSE metric)."""
            preds = self.predict_objects(world)
            return {oid: v[0][1].copy() for oid, v in preds.items()}
    
    
    # =====================================================================
    # 7.  Layer 4 -- Kinematic Optimization
    # =====================================================================
    
    class KinematicOptimizer:
        """
        Layer 4: find the action sequence minimising
    
            J = Error + Risk + Energy + Time   (+ smoothness regulariser)
    
        via sampling-based receding-horizon (MPC) optimisation.
        """
    
        def __init__(self, cfg: MILKConfig, sim: PredictiveSimulator, seed: int = 0):
            self.cfg = cfg
            self.sim = sim
            self.rng = np.random.default_rng(seed + 99)
            self.last_cost = float("inf")
            self.n_evaluated = 0
    
        # ------------------------------------------------------------------
        def _candidates(self, prev_action: np.ndarray) -> List[np.ndarray]:
            cfg = self.cfg
            H = cfg.horizon
            cands: List[np.ndarray] = []
    
            vs = np.linspace(0.0, cfg.v_max, cfg.n_v_samples)
            ws = np.linspace(-cfg.omega_max, cfg.omega_max, cfg.n_w_samples)
            for v in vs:
                for w in ws:
                    cands.append(np.tile([v, w], (H, 1)))
    
            # a handful of two-phase manoeuvres (turn-then-drive)
            half = max(1, H // 2)
            for _ in range(cfg.n_random):
                v1 = float(self.rng.uniform(0.0, cfg.v_max))
                w1 = float(self.rng.uniform(-cfg.omega_max, cfg.omega_max))
                v2 = float(self.rng.uniform(0.0, cfg.v_max))
                w2 = float(self.rng.uniform(-cfg.omega_max, cfg.omega_max))
                seq = np.vstack([np.tile([v1, w1], (half, 1)),
                                 np.tile([v2, w2], (H - half, 1))])
                cands.append(seq)
    
            # always include "brake hard"
            cands.append(np.tile([0.0, 0.0], (H, 1)))
            return cands
    
        # ------------------------------------------------------------------
        def _cost(self,
                  traj: np.ndarray,
                  vels: np.ndarray,
                  goal: np.ndarray,
                  pred_objs: Dict[int, Tuple[np.ndarray, np.ndarray, float]],
                  action_seq: np.ndarray,
                  prev_action: np.ndarray,
                  bounds: Tuple[float, float, float, float],
                  risk_gain: float) -> float:
            cfg = self.cfg
            dt = cfg.dt
            H = len(action_seq)
    
            # ---- Error : terminal distance + heading misalignment --------
            final = traj[-1]
            d_goal = float(np.linalg.norm(final[:2] - goal))
            desired = math.atan2(goal[1] - final[1], goal[0] - final[0])
            head_err = abs(wrap_angle(desired - final[2]))
            error = d_goal + 0.25 * head_err
    
            # ---- Risk : predicted collision exposure ---------------------
            risk = 0.0
            for oid, (pos, var, orad) in pred_objs.items():
                n = min(len(pos), len(traj))
                d = np.linalg.norm(pos[:n] - traj[:n, :2], axis=1)
                clearance = d - (cfg.robot_radius + orad)
                sigma = np.sqrt(var[:n]) + 0.15
                risk += float(np.sum(np.exp(-np.maximum(clearance, 0.0) ** 2 / (2.0 * sigma ** 2))))
                risk += 100.0 * float(np.sum(clearance < 0.0))
    
            # ---- wall risk ------------------------------------------------
            x0, x1, y0, y1 = bounds
            margin = cfg.robot_radius + 0.05
            outside = ((traj[:, 0] < x0 + margin) | (traj[:, 0] > x1 - margin) |
                       (traj[:, 1] < y0 + margin) | (traj[:, 1] > y1 - margin))
            wall_risk = 100.0 * float(np.sum(outside))
    
            # ---- Energy ---------------------------------------------------
            w_cmd = action_seq[:, 1]
            energy = float(np.sum(vels ** 2 + 0.30 * w_cmd ** 2) * dt)
    
            # ---- Time : expected remaining time to goal -------------------
            v_avg = max(float(np.mean(np.abs(vels))), 0.20)
            time_term = d_goal / v_avg
    
            # ---- Smoothness ----------------------------------------------
            smooth = float(np.linalg.norm(action_seq[0] - prev_action))
    
            return (cfg.w_error * error
                    + cfg.w_risk * risk_gain * (risk + wall_risk)
                    + cfg.w_energy * energy
                    + cfg.w_time * time_term
                    + cfg.w_smooth * smooth)
    
        # ------------------------------------------------------------------
        def optimize(self,
                     pose: np.ndarray,
                     vel: np.ndarray,
                     goal: np.ndarray,
                     pred_objs: Dict[int, Tuple[np.ndarray, np.ndarray, float]],
                     prev_action: np.ndarray,
                     bounds: Tuple[float, float, float, float],
                     risk_gain: float = 1.0):
            """Returns (best_action, info_dict)."""
            best_seq = None
            best_cost = float("inf")
            best_traj = None
            best_vels = None
    
            for seq in self._candidates(prev_action):
                traj, vels = self.sim.rollout_robot(pose, vel, seq)
                c = self._cost(traj, vels, goal, pred_objs, seq, prev_action,
                               bounds, risk_gain)
                if c < best_cost:
                    best_cost = c
                    best_seq = seq
                    best_traj = traj
                    best_vels = vels
    
            self.last_cost = best_cost
            self.n_evaluated += 1
    
            info = {
                "cost": best_cost,
                "trajectory": best_traj,
                "vels": best_vels,
                "sequence": best_seq,
            }
            return best_seq[0].copy(), info
    
    
    # =====================================================================
    # 8.  Layer 5 -- Reality Verification
    # =====================================================================
    
    class RealityVerifier:
        """
        Layer 5: compare predicted vs. actual state and adapt the world model.
    
            Error       = S_actual - S_predicted
            Model_new   = Model_old + Learning(Error)
    
        Adaptation here adjusts the Kalman process-noise scale: persistent
        under-prediction of motion raises q, persistent over-prediction lowers it.
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
            self.history: List[float] = []
            self.q_scale = 1.0
            self.lr = 0.08
            self.target = 0.08
    
        def verify(self, error: float) -> float:
            self.history.append(float(error))
            return float(error)
    
        def learn(self) -> float:
            if not self.history:
                return self.q_scale
            e = self.history[-1]
            self.q_scale *= (1.0 + self.lr * (e - self.target))
            self.q_scale = float(np.clip(self.q_scale, 0.25, 8.0))
            return self.q_scale
    
        def mean_error(self) -> float:
            return float(np.mean(self.history)) if self.history else 0.0
    
    
    def prediction_error(pred: Dict, gt: Dict, cfg: MILKConfig) -> Tuple[float, float, float]:
        """
        Compute the State Synchronization Error between a prediction snapshot
        and ground truth.
    
            SSE = w_pose * ||pose_pred - pose_actual||
                + w_obj  * mean ||obj_pred - obj_actual||
    
        Returns (sse_total, pose_error, object_error)
        """
        p_pose = np.asarray(pred["pose"], float)
        a_pose = np.asarray(gt["pose"], float)
        e_pose = float(np.linalg.norm(p_pose[:2] - a_pose[:2]))
    
        e_objs = []
        for oid, p in pred.get("objects", {}).items():
            if oid in gt["objects"]:
                e_objs.append(float(np.linalg.norm(np.asarray(p, float)[:2]
                                                   - np.asarray(gt["objects"][oid], float)[:2])))
        e_obj = float(np.mean(e_objs)) if e_objs else 0.0
    
        total = cfg.w_sse_pose * e_pose + cfg.w_sse_obj * e_obj
        return total, e_pose, e_obj
    
    
    # =====================================================================
    # 9.  SARAH -- Simulated Augmented Reality Assistant Human
    # =====================================================================
    
    class SelfLocalizationModule:
        """Maintains the position estimate of the embodiment."""
    
        def __init__(self, world: WorldModel):
            self.world = world
    
        @property
        def pose(self) -> np.ndarray:
            return self.world.pose
    
        @property
        def covariance(self) -> np.ndarray:
            return self.world.pose_cov
    
        def report(self) -> Dict:
            return {
                "pose": self.world.pose.tolist(),
                "sigma": self.world.localisation_sigma(),
            }
    
    
    class PredictiveCognitionModule:
        """Simulates future states of self and others."""
    
        def __init__(self, sim: PredictiveSimulator):
            self.sim = sim
    
        def simulate_self(self, pose, vel, action_seq):
            return self.sim.rollout_robot(pose, vel, action_seq)
    
        def simulate_others(self, world: WorldModel):
            return self.sim.predict_objects(world)
    
    
    class AdaptiveLearningModule:
        """Updates behaviour from observed errors."""
    
        def __init__(self, verifier: RealityVerifier):
            self.verifier = verifier
    
        def learn(self) -> float:
            return self.verifier.learn()
    
        def report(self) -> Dict:
            return {"q_scale": self.verifier.q_scale,
                    "mean_sse": self.verifier.mean_error(),
                    "n": len(self.verifier.history)}
    
    
    class RealitySynchronizationEngine:
        """
        Keeps Model / Prediction / Observation mutually consistent and
        flags divergence.
        """
    
        def __init__(self, tol: float = 0.25):
            self.tol = tol
            self.log: List[Dict] = []
    
        def synchronize(self, model_pose, predicted_pose, observed_pose) -> Dict:
            mp = np.asarray(model_pose, float)[:2]
            pp = np.asarray(predicted_pose, float)[:2]
            op = np.asarray(observed_pose, float)[:2]
            rec = {
                "model_prediction": float(np.linalg.norm(mp - pp)),
                "prediction_observation": float(np.linalg.norm(pp - op)),
                "model_observation": float(np.linalg.norm(mp - op)),
            }
            rec["synchronized"] = bool(rec["prediction_observation"] < self.tol)
            self.log.append(rec)
            return rec
    
        def sync_rate(self) -> float:
            if not self.log:
                return 0.0
            return float(np.mean([r["synchronized"] for r in self.log]))
    
    
    # =====================================================================
    # 10.  Controllers
    # =====================================================================
    
    class BaseController:
        """Common perception + world-model plumbing."""
    
        name = "BASE"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.seed = seed
            self.perception = PerceptionLayer(cfg, seed)
            self.world = WorldModel(cfg)
            self.prev_action = np.zeros(2)
            self.predicted_pose = np.zeros(3)
            self.predicted_objects: Dict[int, np.ndarray] = {}
            self.last_frame: Optional[SensorFrame] = None
    
        # -- to be overridden ---------------------------------------------
        def act(self, goal: np.ndarray) -> np.ndarray:
            raise NotImplementedError
    
        def verify(self, pred: Dict, gt: Dict) -> float:
            return 0.0
    
        # ------------------------------------------------------------------
        def observe(self, env: RoomEnvironment) -> None:
            frame = self.perception.sense(env)
            self.last_frame = frame
            self.world.fuse(frame)
    
        def prediction_snapshot(self) -> Dict:
            return {"pose": self.predicted_pose.copy(),
                    "objects": {k: v.copy() for k, v in self.predicted_objects.items()}}
    
        def diagnostics(self) -> Dict:
            return {}
    
    
    # ---------------------------------------------------------------------
    class ReactiveController(BaseController):
        """
        Baseline: reacts to the world as it currently is.
    
        * heads straight for the goal
        * turns away from anything currently within a fixed radius
        * no rollout, no prediction of agent motion, no verification layer
    
        Its implicit prediction for the next timestep is "the world stays
        exactly as I currently estimate it".
        """
    
        name = "REACTIVE"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            super().__init__(cfg, seed)
            self.avoid_radius = 1.0
    
        def act(self, goal: np.ndarray) -> np.ndarray:
            cfg = self.cfg
            pose = self.world.pose
    
            # --- pure pursuit ---------------------------------------------
            desired = math.atan2(goal[1] - pose[1], goal[0] - pose[0])
            err = wrap_angle(desired - pose[2])
            omega = float(np.clip(2.0 * err, -cfg.omega_max, cfg.omega_max))
            v = cfg.v_max * max(0.0, 1.0 - abs(err) / 1.4)
    
            # --- reflexive obstacle avoidance -----------------------------
            for obj in self.world.objects.values():
                rel = obj.position - pose[:2]
                d = float(np.linalg.norm(rel))
                if d > self.avoid_radius:
                    continue
                bearing = wrap_angle(math.atan2(rel[1], rel[0]) - pose[2])
                if abs(bearing) < 0.8:
                    omega = -math.copysign(cfg.omega_max * 0.85, bearing)
                    v = min(v, 0.12)
    
            action = np.array([v, omega])
    
            # --- the reactive "prediction": the world is frozen ------------
            self.predicted_pose, _ = integrate_diff_drive(pose, self.world.vel, action, cfg)
            self.predicted_objects = self.world.object_positions()
    
            self.prev_action = action
            return action
    
    
    # ---------------------------------------------------------------------
    class MILKController(BaseController):
        """
        Full MILK stack:
    
            Layer 1  PerceptionLayer
            Layer 2  WorldModel
            Layer 3  PredictiveSimulator
            Layer 4  KinematicOptimizer
            Layer 5  RealityVerifier
            + MILK dynamic equation and RMI bookkeeping
        """
    
        name = "MILK"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            super().__init__(cfg, seed)
            self.sim = PredictiveSimulator(cfg)
            self.optimizer = KinematicOptimizer(cfg, self.sim, seed)
            self.verifier = RealityVerifier(cfg)
    
            self.uncertainty = 1.0
            self.coupling = 0.0
            self.influence: Optional[MILKInfluence] = None
            self.rmi = 0.0
            self.pred_traj: Optional[np.ndarray] = None
            self.last_cost = float("inf")
    
        # ------------------------------------------------------------------
        #  Uncertainty (U_t) and environmental coupling (K_t)
        # ------------------------------------------------------------------
        def _compute_uncertainty(self) -> float:
            """
            U_t : scalar uncertainty over the horizon.
    
            Combines localisation variance with the propagated position
            uncertainty of every tracked dynamic object.
            """
            cfg = self.cfg
            loc = self.world.localisation_sigma()
    
            terms = []
            for o in self.world.objects.values():
                growth = (cfg.horizon * cfg.dt) ** 2 * o.vel_var
                terms.append(o.pos_var + growth)
            obj = math.sqrt(float(np.mean(terms))) if terms else 0.0
    
            return float(max(loc + 0.5 * obj, cfg.u_min))
    
        def _compute_coupling(self) -> float:
            """
            K_t : environmental coupling factor in [0, 1].
    
            How strongly the agent's actions can couple into the environment:
            high when nearby, confidently-tracked objects are present;
            low in empty, featureless space.
            """
            cfg = self.cfg
            objs = list(self.world.objects.values())
            if not objs:
                return 0.15
    
            ds = np.array([float(np.linalg.norm(o.position - self.world.pose[:2]))
                           for o in objs])
            proximity = float(np.mean(np.exp(-ds / cfg.sensor_range)))
            confidence = float(np.mean([math.exp(-0.5 * o.pos_var / 0.25) for o in objs]))
            return float(np.clip(proximity * confidence, 0.0, 1.0))
    
        # ------------------------------------------------------------------
        def act(self, goal: np.ndarray) -> np.ndarray:
            cfg = self.cfg
            pose = self.world.pose
            vel = self.world.vel
    
            # --- Layer 3 : simulate the future ---------------------------
            pred_objs = self.sim.predict_objects(self.world)
    
            # --- Layer 4 : optimise the action ---------------------------
            self.uncertainty = self._compute_uncertainty()
            self.coupling = self._compute_coupling()
    
            # Higher uncertainty -> more conservative risk weighting.
            risk_gain = float(np.clip(1.0 + 0.8 * (self.uncertainty - 0.15), 1.0, 3.0))
    
            bounds = (0.0, 20.0, 0.0, 20.0)   # generous; wall cost handles margins
            action, info = self.optimizer.optimize(
                pose, vel, goal, pred_objs, self.prev_action, bounds, risk_gain)
    
            self.pred_traj = info["trajectory"]
            self.last_cost = info["cost"]
    
            # --- MILK dynamic equation : X_t = A_t + K_t / U_t -----------
            A = np.array([action[0] * cfg.dt, action[1] * cfg.dt])
            X = milk_dynamic_equation(A, self.coupling, self.uncertainty, cfg.u_min)
            self.influence = MILKInfluence(A=A, K=self.coupling,
                                           U=self.uncertainty, X=X)
    
            # --- Reality Modification Index ------------------------------
            cur_objs = self.world.object_positions()
            fut_objs = {oid: v[0][-1] for oid, v in pred_objs.items()}
            s_now = state_vector(self.world.pose, self.world.vel, goal, cur_objs)
            s_fut = state_vector(self.pred_traj[-1],
                                 [float(info["vels"][-1]), action[1]],
                                 goal, fut_objs)
            n_obj = len(set(cur_objs) | set(fut_objs))
            self.rmi = reality_modification_index(s_now, s_fut, _sse_weights(n_obj, cfg))
    
            # --- one-step predictions (for the SSE metric) ---------------
            self.predicted_pose = self.pred_traj[1].copy()
            self.predicted_objects = {oid: v[0][1].copy() for oid, v in pred_objs.items()}
    
            self.prev_action = action
            return action
    
        # ------------------------------------------------------------------
        def verify(self, pred: Dict, gt: Dict) -> float:
            """Layer 5: measure error and adapt the world model."""
            sse, _, _ = prediction_error(pred, gt, self.cfg)
            self.verifier.verify(sse)
            self.world.q_scale = self.verifier.learn()
            return sse
    
        def diagnostics(self) -> Dict:
            return {
                "U": self.uncertainty,
                "K": self.coupling,
                "X_norm": self.influence.magnitude if self.influence else 0.0,
                "RMI": self.rmi,
                "cost": self.last_cost,
                "q_scale": self.world.q_scale,
            }
    
    
    # ---------------------------------------------------------------------
    class SARAH:
        """
        SARAH -- Simulated Augmented Reality Assistant Human.
    
        The humanoid embodiment of the MILK Protocol.  Composes the four
        named core modules on top of the MILK control stack.
        """
    
        name = "SARAH/MILK"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.engine = MILKController(cfg, seed)
    
            # -- the four core modules of SARAH ---------------------------
            self.self_localization = SelfLocalizationModule(self.engine.world)
            self.predictive_cognition = PredictiveCognitionModule(self.engine.sim)
            self.adaptive_learning = AdaptiveLearningModule(self.engine.verifier)
            self.reality_sync = RealitySynchronizationEngine(tol=0.30)
    
        # -- MILK interface ------------------------------------------------
        def observe(self, env: RoomEnvironment) -> None:
            self.engine.observe(env)
    
        def act(self, goal: np.ndarray) -> np.ndarray:
            return self.engine.act(goal)
    
        def prediction_snapshot(self) -> Dict:
            return self.engine.prediction_snapshot()
    
        def verify(self, pred: Dict, gt: Dict) -> float:
            sse = self.engine.verify(pred, gt)
            self.reality_sync.synchronize(self.engine.world.pose,
                                          pred["pose"],
                                          gt["pose"])
            return sse
    
        def diagnostics(self) -> Dict:
            d = self.engine.diagnostics()
            d["sync_rate"] = self.reality_sync.sync_rate()
            return d
    
    
    # =====================================================================
    # 11.  Metrics
    # =====================================================================
    
    @dataclass
    class TrialMetrics:
        controller: str
        seed: int
        success: bool
        steps: int
        time_to_goal: float
        collisions: int
        path_length: float
        energy: float
        mean_sse: float
        mean_pa: float
        mean_rmi: float
        rme: float
        ais: float
        final_goal_distance: float
    
        def as_row(self) -> str:
            return (f"{self.controller:<10} | {str(self.success):<5} | "
                    f"{self.collisions:^10} | {self.time_to_goal:^7.2f} | "
                    f"{self.path_length:^11.2f} | {self.energy:^6.2f} | "
                    f"{self.mean_sse:^8.3f} | {self.mean_pa:^7.3f} | "
                    f"{self.mean_rmi:^8.2f} | {self.rme:^6.3f} | {self.ais:^6.2f}")
    
    
    class MetricsRecorder:
        """Accumulates the performance metrics defined in section 11."""
    
        def __init__(self, label: str, cfg: MILKConfig,
                     start_goal_distance: float, seed: int):
            self.label = label
            self.cfg = cfg
            self.start_goal_distance = float(start_goal_distance)
            self.seed = seed
    
            self.sse: List[float] = []
            self.rmi: List[float] = []
            self.energy = 0.0
            self.path_length = 0.0
            self.steps = 0
            self.prev_xy: Optional[np.ndarray] = None
            self.time_to_goal = float("nan")
    
        # ------------------------------------------------------------------
        def step(self,
                 sse: float,
                 rmi: float,
                 action: np.ndarray,
                 pose_xy: np.ndarray) -> None:
            cfg = self.cfg
            self.sse.append(float(sse))
            self.rmi.append(float(rmi))
    
            # energy proxy for a differential drive: v^2 + k * omega^2
            self.energy += float(action[0] ** 2 + 0.30 * action[1] ** 2) * cfg.dt
    
            if self.prev_xy is not None:
                self.path_length += float(np.linalg.norm(pose_xy - self.prev_xy))
            self.prev_xy = np.asarray(pose_xy, float).copy()
    
            self.steps += 1
    
        # ------------------------------------------------------------------
        def finalize(self, env: RoomEnvironment, success: bool) -> TrialMetrics:
            cfg = self.cfg
    
            mean_sse = float(np.mean(self.sse)) if self.sse else 0.0
            mean_rmi = float(np.mean(self.rmi)) if self.rmi else 0.0
    
            # Predictive Accuracy:  PA = 1 - |Predicted - Actual|  (normalised)
            mean_pa = float(np.clip(1.0 - mean_sse / cfg.sse_scale, 0.0, 1.0))
    
            # Reality Modification Efficiency:  RME = DesiredStateChange / Energy
            desired_change = max(0.0, self.start_goal_distance - env.goal_distance())
            energy = max(self.energy, EPS)
            rme = desired_change / energy
    
            # Autonomous Intelligence Score:  AIS = PA * RME / SSE
            ais = (mean_pa * rme) / max(mean_sse, 1e-4)
    
            return TrialMetrics(
                controller=self.label,
                seed=self.seed,
                success=bool(success),
                steps=self.steps,
                time_to_goal=self.time_to_goal,
                collisions=env.collision_events,
                path_length=self.path_length,
                energy=self.energy,
                mean_sse=mean_sse,
                mean_pa=mean_pa,
                mean_rmi=mean_rmi,
                rme=rme,
                ais=ais,
                final_goal_distance=env.goal_distance(),
            )
    
    
    # =====================================================================
    # 12.  Terminal renderer
    # =====================================================================
    
    class ASCIIRenderer:
        """Minimal top-down visualisation for terminals."""
    
        def __init__(self, env: RoomEnvironment, cols: int = 76, rows: int = 22):
            self.env = env
            self.cols = cols
            self.rows = rows
    
        def _cell(self, x: float, y: float) -> Tuple[int, int]:
            c = int(x / self.env.width * (self.cols - 1))
            r = int((1.0 - y / self.env.height) * (self.rows - 1))
            return (max(0, min(self.cols - 1, c)), max(0, min(self.rows - 1, r)))
    
        def render(self, controller: Optional[BaseController] = None,
                   goal: Optional[np.ndarray] = None,
                   header: str = "") -> str:
            env = self.env
            grid = [[" "] * self.cols for _ in range(self.rows)]
    
            for c in range(self.cols):
                grid[0][c] = "-"
                grid[self.rows - 1][c] = "-"
            for r in range(self.rows):
                grid[r][0] = "|"
                grid[r][self.cols - 1] = "|"
    
            # static obstacles
            for ob in env.static:
                c0, r0 = self._cell(ob.x, ob.y)
                grid[r0][c0] = "#"
    
            # predicted object positions (MILK only)
            if controller is not None:
                for oid, p in controller.predicted_objects.items():
                    c0, r0 = self._cell(float(p[0]), float(p[1]))
                    if grid[r0][c0] == " ":
                        grid[r0][c0] = "o"
    
                # predicted ego trajectory
                if getattr(controller, "pred_traj", None) is not None:
                    for p in controller.pred_traj[1:]:
                        c0, r0 = self._cell(float(p[0]), float(p[1]))
                        if grid[r0][c0] == " ":
                            grid[r0][c0] = "."
    
            # humans (ground truth)
            for h in env.humans:
                c0, r0 = self._cell(h.x, h.y)
                grid[r0][c0] = "H"
    
            # goal
            g = env.goal if goal is None else goal
            c0, r0 = self._cell(float(g[0]), float(g[1]))
            grid[r0][c0] = "G"
    
            # robot
            c0, r0 = self._cell(float(env.robot_pose[0]), float(env.robot_pose[1]))
            grid[r0][c0] = "R"
    
            lines = [header] if header else []
            lines += ["".join(row) for row in grid]
            return "\n".join(lines)
    
    
    # =====================================================================
    # 13.  Trial runner
    # =====================================================================
    
    def make_controller(kind: str, cfg: MILKConfig, seed: int):
        kind = kind.upper()
        if kind in ("REACTIVE", "BASELINE"):
            return ReactiveController(cfg, seed)
        if kind in ("MILK", "SARAH"):
            return SARAH(cfg, seed)
        raise ValueError(f"Unknown controller kind: {kind}")
    
    
    def run_trial(kind: str,
                  cfg: MILKConfig,
                  seed: int,
                  max_steps: int = 400,
                  render: bool = False,
                  render_every: int = 6,
                  verbose: bool = False) -> TrialMetrics:
        """Run one episode and return the resulting metrics."""
    
        env = RoomEnvironment(cfg, seed=seed)
        controller = make_controller(kind, cfg, seed)
    
        start_dist = env.goal_distance()
        rec = MetricsRecorder(controller.name, cfg, start_dist, seed)
    
        goal = env.goal
        success = False
        renderer = ASCIIRenderer(env) if render else None
    
        for step in range(max_steps):
            controller.observe(env)
            action = controller.act(goal)
    
            # -- snapshot the prediction BEFORE the world moves -----------
            pred = controller.prediction_snapshot()
    
            # -- execute ---------------------------------------------------
            env.step(action)
    
            # -- ground truth AFTER the step -------------------------------
            gt = env.ground_truth()
            sse, e_pose, e_obj = prediction_error(pred, gt, cfg)
    
            # -- Layer 5 ---------------------------------------------------
            controller.verify(pred, gt)
    
            # -- bookkeeping ----------------------------------------------
            rmi = getattr(controller, "rmi", 0.0)
            if not isinstance(controller, SARAH):
                rmi = 0.0
            else:
                rmi = controller.engine.rmi
    
            rec.step(sse, rmi, action, env.robot_pose[:2])
    
            if render and (step % render_every == 0):
                diag = controller.diagnostics()
                hdr = (f"[{controller.name}] step {step:03d}  "
                       f"d_goal={env.goal_distance():5.2f}  "
                       f"SSE={sse:.3f}  PA={1 - min(sse / cfg.sse_scale, 1):.3f}  "
                       f"RMI={rmi:6.2f}  "
                       f"U={diag.get('U', 0):.3f}  K={diag.get('K', 0):.3f}")
                print("\033[H\033[J" + renderer.render(controller, goal, hdr))
                time.sleep(0.02)
    
            # -- termination ----------------------------------------------
            if env.goal_distance() < 0.35:
                success = True
                rec.time_to_goal = (step + 1) * cfg.dt
                break
    
        if not success:
            rec.time_to_goal = float("nan")
    
        metrics = rec.finalize(env, success)
    
        if verbose:
            print(f"  trial seed={seed} {controller.name}: "
                  f"success={success} steps={metrics.steps} "
                  f"SSE={metrics.mean_sse:.3f} PA={metrics.mean_pa:.3f} "
                  f"AIS={metrics.ais:.2f}")
    
        return metrics
    
    
    def run_experiment(cfg: MILKConfig,
                       n_trials: int = 3,
                       max_steps: int = 400,
                       verbose: bool = True) -> Dict[str, List[TrialMetrics]]:
        """Run Trial 1 (reactive) and Trial 2 (MILK) over matched seeds."""
    
        results: Dict[str, List[TrialMetrics]] = {"REACTIVE": [], "SARAH/MILK": []}
    
        print("=" * 108)
        print("MILK PROTOCOL v1.0 -- EXPERIMENTAL VALIDATION")
        print("=" * 108)
    
        for seed in range(n_trials):
            env_seed = cfg.seed + seed
            print(f"\n-- Trial pair {seed + 1}/{n_trials} (env seed {env_seed}) --")
    
            m1 = run_trial("REACTIVE", cfg, env_seed, max_steps, verbose=verbose)
            m2 = run_trial("MILK", cfg, env_seed, max_steps, verbose=verbose)
    
            results["REACTIVE"].append(m1)
            results["SARAH/MILK"].append(m2)
    
        print("\n" + "=" * 108)
        print("RESULTS")
        print("=" * 108)
        print(f"{'CTRL':<10} | {'OK':<5} | {'COLLISIONS':^10} | {'T[s]':^7} | "
              f"{'PATH[m]':^11} | {'E':^6} | {'SSE':^8} | {'PA':^7} | "
              f"{'RMI':^8} | {'RME':^6} | {'AIS':^6}")
        print("-" * 108)
        for group in results.values():
            for m in group:
                print(m.as_row())
        print("-" * 108)
    
        print("\nSUMMARY (mean over trials)")
        print("-" * 108)
        for name, group in results.items():
            print(f"{name:<12} | "
                  f"success={np.mean([m.success for m in group]):.2f} | "
                  f"collisions={np.mean([m.collisions for m in group]):5.2f} | "
                  f"SSE={np.mean([m.mean_sse for m in group]):.3f} | "
                  f"PA={np.mean([m.mean_pa for m in group]):.3f} | "
                  f"RME={np.mean([m.rme for m in group]):.3f} | "
                  f"AIS={np.mean([m.ais for m in group]):.2f}")
    
        # -- hypothesis test ------------------------------------------------
        r_sse = np.mean([m.mean_sse for m in results["REACTIVE"]])
        m_sse = np.mean([m.mean_sse for m in results["SARAH/MILK"]])
        r_col = np.mean([m.collisions for m in results["REACTIVE"]])
        m_col = np.mean([m.collisions for m in results["SARAH/MILK"]])
    
        print("\nHYPOTHESIS: MILK produces lower state-transition error than a")
        print("            conventional reactive controller.")
        print(f"  mean SSE  reactive = {r_sse:.4f}   MILK = {m_sse:.4f}   "
              f"-> {'SUPPORTED' if m_sse < r_sse else 'NOT SUPPORTED'}")
        print(f"  mean collisions  reactive = {r_col:.2f}   MILK = {m_col:.2f}   "
              f"-> {'SUPPORTED' if m_col <= r_col else 'NOT SUPPORTED'}")
        print("=" * 108)
    
        return results
    
    
    # =====================================================================
    # 14.  Self-test
    # =====================================================================
    
    def selftest() -> bool:
        """Sanity checks on the core MILK mathematics and components."""
        ok = True
    
        def check(name: str, cond: bool, detail: str = "") -> None:
            nonlocal ok
            status = "PASS" if cond else "FAIL"
            print(f"[{status}] {name} {detail}")
            ok = ok and cond
    
        cfg = MILKConfig()
    
        # --- MILK dynamic equation ----------------------------------------
        X = milk_dynamic_equation(np.array([0.1, 0.1]), 0.5, 0.5, cfg.u_min)
        check("MILK eq. basic", np.allclose(X, [1.1, 1.1]), f"X={X}")
    
        X1 = milk_dynamic_equation(np.array([0.0]), 0.5, 0.1, cfg.u_min)
        X2 = milk_dynamic_equation(np.array([0.0]), 0.5, 0.9, cfg.u_min)
        check("MILK eq. uncertainty reduces influence", float(X1[0]) > float(X2[0]),
              f"{X1[0]:.2f} > {X2[0]:.2f}")
    
        Xf = milk_dynamic_equation(np.array([0.0]), 0.5, 0.0, cfg.u_min)
        check("MILK eq. finite at U=0", np.isfinite(Xf[0]), f"X={Xf[0]:.1f}")
    
        # --- RMI ------------------------------------------------------------
        a = state_vector([0, 0, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        b = state_vector([0, 0, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        c = state_vector([3, 4, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        check("RMI identical states == 0", abs(reality_modification_index(a, b)) < 1e-9)
        check("RMI grows with displacement", reality_modification_index(a, c) > 4.9)
    
        # --- differential drive --------------------------------------------
        pose = np.array([0.0, 0.0, 0.0])
        vel = np.array([0.0, 0.0])
        p1, v1 = integrate_diff_drive(pose, vel, np.array([1.0, 0.0]), cfg)
        check("diff-drive straight line", abs(p1[0] - 0.02) < 1e-9 and abs(p1[1]) < 1e-9,
              f"pose={p1}")
    
        # --- Kalman filter convergence -------------------------------------
        obj = TrackedObject(0, 0.0, 0.0)
        rng = np.random.default_rng(0)
        tx, ty = 1.0, 2.0
        vx, vy = 0.5, 0.2
        for k in range(60):
            obj.predict(0.1, 0.35)
            tx += vx * 0.1
            ty += vy * 0.1
            obj.update(np.array([tx, ty]) + rng.normal(0, 0.08, 2),
                       np.eye(2) * 0.08 ** 2)
        check("KF converges to true position",
              float(np.linalg.norm(obj.position - [tx, ty])) < 0.15,
              f"err={np.linalg.norm(obj.position - [tx,ty]):.4f}")
        check("KF estimates velocity",
              float(np.linalg.norm(obj.velocity - [vx, vy])) < 0.20,
              f"err={np.linalg.norm(obj.velocity - [vx,vy]):.4f}")
    
        # --- environment -----------------------------------------------------
        env = RoomEnvironment(cfg, seed=1)
        readings = env.raycast(env.robot_pose, np.linspace(0, 2 * math.pi, 16, endpoint=False))
        check("raycast within sensor range",
              bool(np.all(readings >= 0) and np.all(readings <= cfg.sensor_range + 1e-9)))
    
        # --- short smoke run --------------------------------------------------
        m = run_trial("MILK", cfg, seed=0, max_steps=60, verbose=False)
        check("MILK produces finite metrics",
              math.isfinite(m.mean_sse) and math.isfinite(m.ais))
    
        m2 = run_trial("REACTIVE", cfg, seed=0, max_steps=60, verbose=False)
        check("Reactive produces finite metrics",
              math.isfinite(m2.mean_sse) and math.isfinite(m2.ais))
    
        print("\nSELFTEST:", "ALL PASS" if ok else "FAILURES DETECTED")
        return ok
    
    
    # =====================================================================
    # 15.  Entry point
    # =====================================================================
    
    def main() -> int:
        parser = argparse.ArgumentParser(
            description="MILK Protocol v1.0 -- reference implementation")
        parser.add_argument("--trials", type=int, default=3,
                            help="number of trial pairs (default: 3)")
        parser.add_argument("--seed", type=int, default=0,
                            help="base random seed")
        parser.add_argument("--steps", type=int, default=400,
                            help="max steps per trial")
        parser.add_argument("--demo", action="store_true",
                            help="render a single MILK episode in the terminal")
        parser.add_argument("--render", action="store_true",
                            help="render during the experiment (slow)")
        parser.add_argument("--controller", type=str, default="MILK",
                            choices=["MILK", "REACTIVE"],
                            help="controller used with --demo")
        parser.add_argument("--json", type=str, default=None,
                            help="write results to a JSON file")
        parser.add_argument("--selftest", action="store_true",
                            help="run internal sanity checks and exit")
        parser.add_argument("--horizon", type=int, default=None,
                            help="override prediction horizon")
        args = parser.parse_args()
    
        cfg = MILKConfig(seed=args.seed)
        if args.horizon is not None:
            cfg.horizon = args.horizon
    
        if args.selftest:
            return 0 if selftest() else 1
    
        if args.demo:
            print(f"Rendering a single episode with the {args.controller} "
                  f"controller. Ctrl-C to stop.\n")
            run_trial(args.controller, cfg, seed=args.seed,
                      max_steps=args.steps, render=True, render_every=4)
            return 0
    
        results = run_experiment(cfg, n_trials=args.trials,
                                 max_steps=args.steps, verbose=True)
    
        if args.json:
            payload = {
                name: [asdict(m) for m in group]
                for name, group in results.items()
            }
            with open(args.json, "w") as fh:
                json.dump(payload, fh, indent=2)
            print(f"\nWrote {args.json}")
    
        return 0
    
    
    if __name__ == "__main__":
        sys.exit(main())


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  12. MILK Protocol: A Predictive Kinematic Intelligence Framework for Autonomous Reality-State Modification

    Author: pasjrwoctx👽
    Concept Proposal by S*A*R*A*H Research Initiative

    Version: 1.0
    Field: Robotics, Cybernetics, Autonomous Systems, Control Theory, Digital Twins, AI

    This paper introduces the Mechanized Intelligence Link Kinematically (MILK) Protocol, a generalized framework for autonomous systems that continuously model, predict, simulate, and modify physical environments through intelligent kinetic action.
    Unlike traditional control architectures that optimize isolated actions, MILK treats every motion as a state-transforming event within a dynamic reality model. The protocol combines sensor fusion, predictive world modeling, digital-twin simulation, model predictive control (MPC), and machine learning into a unified architecture.
    MILK defines quantitative metrics for measuring the influence of actions on future world states, enabling intelligent agents to maximize desired outcomes while minimizing uncertainty, energy expenditure, and risk.
    A prototype implementation using a mobile robotic platform demonstrates how MILK can be experimentally validated under real-world conditions.
    Keywords: #cybernetics, #robotics, #autonomoussystems, #digitaltwins, #worldmodels, #predictiveintelligence, #human-machineinteraction

    Click to view full article
    1. Introduction
    Modern autonomous systems react to environments.
    MILK proposes a stronger paradigm:
    Every action is selected according to its projected influence on future reality states.
    The protocol assumes:
        1. Every kinetic action produces measurable state transitions. 
        2. Future states can be estimated probabilistically. 
        3. Better predictions yield better interventions. 
        4. An autonomous agent should optimize future-state outcomes rather than immediate responses. 
    This creates a closed-loop architecture capable of continuously shaping environments toward desired objectives.
    
    2. Theoretical Foundation
    Let a system state be represented as:
    StS_tSt​ 
    where:
        • StS_tSt​ = complete observable state at time t. 
    An action:
    AtA_tAt​ 
    produces a transition:
    St+1S_{t+1}St+1​ 
    such that:
    St+1=f(St,At,Et)S_{t+1}=f(S_t,A_t,E_t)St+1​=f(St​,At​,Et​) 
    where:
        • EtE_tEt​ represents environmental factors. 
    
    3. MILK Dynamic Equation
    The original conceptual equation:
    A+B(1/C)=XA + B(1/C)=XA+B(1/C)=X 
    is formalized as:
    Xt=At+KtUtX_t=A_t+\frac{K_t}{U_t}Xt​=At​+Ut​Kt​​ 
    where:
    Variable	Meaning
    Aₜ	Intended action vector
    Kₜ	Environmental coupling factor
    Uₜ	Uncertainty score
    Xₜ	Predicted state change
    Interpretation:
        • Strong environmental knowledge increases precision. 
        • Higher uncertainty reduces influence prediction accuracy. 
        • Outcome estimates improve as uncertainty approaches zero. 
    
    4. Reality-State Modification Index
    MILK introduces:
    Reality Modification Index (RMI)
    RMI=∣∣Sfuture−Scurrent∣∣RMI=||S_{future}-S_{current}||RMI=∣∣Sfuture​−Scurrent​∣∣ 
    Where:
        • large values indicate substantial environmental change. 
        • small values indicate minimal influence. 
    Examples:
    Action	Approximate RMI
    Pick up object	Low
    Open door	Low
    Rearrange room	Medium
    Coordinate factory robots	High
    Optimize city traffic	Very High
    The RMI provides a measurable definition of "reality alteration."
    
    5. Architecture
    MILK consists of five primary layers.
    Layer 1: Perception
    Inputs:
        • Cameras 
        • LiDAR 
        • IMU 
        • Microphones 
        • Tactile sensors 
        • GPS 
    Outputs:
    WtW_tWt​ 
    Current world model.
    
    Layer 2: World Construction
    Sensor fusion constructs:
    Wt={Objects,Humans,Locations,Conditions}W_t = \{Objects,Humans,Locations,Conditions\}Wt​={Objects,Humans,Locations,Conditions} 
    Methods:
        • SLAM 
        • Kalman filters 
        • Bayesian estimation 
    
    Layer 3: Predictive Simulation
    Generate:
    Wt+1,Wt+2,...,Wt+nW_{t+1},W_{t+2},...,W_{t+n}Wt+1​,Wt+2​,...,Wt+n​ 
    using:
        • Transformer world models 
        • Reinforcement learning 
        • Physics simulation 
        • Digital twins 
    
    Layer 4: Kinematic Optimization
    Find optimal action sequence:
    A∗=argmin(J)A^*=argmin(J)A∗=argmin(J) 
    where
    J=Error+Risk+Energy+TimeJ=Error+Risk+Energy+TimeJ=Error+Risk+Energy+Time 
    
    Layer 5: Reality Verification
    After action execution:
    Error=Sactual−SpredictedError=S_{actual}-S_{predicted}Error=Sactual​−Spredicted​ 
    Model updates:
    Modelnew=Modelold+Learning(Error)Model_{new}=Model_{old}+Learning(Error)Modelnew​=Modelold​+Learning(Error) 
    
    6. SARAH Autonomous Agent
    SARAH (Simulated Augmented Reality Assistant Human)
    is defined as a humanoid embodiment of MILK.
    Core modules:
    Self Localization
    Maintains position estimate.
    Predictive Cognition
    Simulates future states.
    Adaptive Learning
    Updates behavior from errors.
    Reality Synchronization Engine
    Maintains consistency between:
        • Model 
        • Prediction 
        • Observation 
    
    7. Experimental Hypothesis
    Hypothesis:
    A MILK-controlled robot will produce significantly lower state-transition error than a conventional reactive controller.
    Independent Variable:
        • Control architecture 
    Dependent Variables:
        • Path accuracy 
        • Task completion rate 
        • Energy consumption 
        • Prediction accuracy 
        • RMI efficiency 
    
    8. Testable Prototype Design
    Prototype Name
    MILK-P1
    
    Hardware
    Compute
        • NVIDIA Jetson Orin Nano 
        • Raspberry Pi 5 
    Sensors
        • Intel RealSense D455 
        • 9-axis IMU 
        • Wheel encoders 
        • Microphone array 
    Mobility
        • Differential drive robot base 
    Optional
        • 4 DOF robotic arm 
    Estimated cost:
    $800-$2500
    
    Software Stack
    Operating System
    Ubuntu 24.04
    Middleware
    ROS2
    Vision
    OpenCV
    AI
    PyTorch
    Simulation
    Gazebo
    Digital Twin
    NVIDIA Isaac Sim
    
    9. Experimental Environment
    Construct a room containing:
        • Chairs 
        • Boxes 
        • Doors 
        • Human participants 
    Robot objective:
    Navigate from Point A to Point B while:
        • avoiding obstacles 
        • responding to environmental changes 
        • predicting future movement of agents 
    
    10. Test Sequence
    Trial 1
    Reactive Controller
    Robot responds only after detecting changes.
    Measure:
        • collisions 
        • errors 
        • time 
    
    Trial 2
    MILK Controller
    Robot predicts:
        • moving obstacles 
        • human paths 
        • object displacement 
    before motion occurs.
    Measure:
        • prediction accuracy 
        • RMI 
        • completion time 
    
    11. Performance Metrics
    Predictive Accuracy
    PA=1−∣Predicted−Actual∣PA=1-|Predicted-Actual|PA=1−∣Predicted−Actual∣ 
    
    Reality Modification Efficiency
    RME=DesiredStateChangeEnergyUsedRME=\frac{DesiredStateChange}{EnergyUsed}RME=EnergyUsedDesiredStateChange​ 
    
    State Synchronization Error
    SSE=∣Sactual−Spredicted∣SSE=|S_{actual}-S_{predicted}|SSE=∣Sactual​−Spredicted​∣ 
    
    Autonomous Intelligence Score
    AIS=PA×RMESSEAIS=\frac{PA \times RME}{SSE}AIS=SSEPA×RME​ 
    Higher is better.
    
    12. Expected Outcomes
    MILK should demonstrate:
        • Reduced path planning errors 
        • Better obstacle avoidance 
        • Lower energy expenditure 
        • More accurate future-state predictions 
        • Improved adaptation to dynamic environments 
    
    13. Future Development
    MILK-P2:
        • Full humanoid embodiment 
        • Whole-body control 
        • Multi-agent coordination 
    MILK-P3:
        • Swarm intelligence 
        • Distributed digital twins 
        • Cloud synchronization 
    MILK-P4:
        • Human cognitive state modeling 
        • Intent prediction 
        • Collaborative decision systems 
    
    Conclusion
    The MILK Protocol transforms the philosophical concept of "reality alteration" into a measurable engineering framework based on state-space control, predictive simulation, digital twins, and autonomous learning.
    Rather than altering reality in a supernatural sense, MILK quantifies how intelligent actions reshape future physical states and provides a mathematical basis for designing systems, such as SARAH, that can optimize those state transitions with increasing precision. The proposed MILK-P1 prototype is immediately testable using existing robotics hardware and modern AI infrastructure, making the protocol falsifiable, measurable, and suitable for academic research and experimental validation.


    Click to view code
    #!/usr/bin/env python3
    # -*- coding: utf-8 -*-
    """
    MILK Protocol v1.0 -- Reference Implementation
    ==============================================
    
    A Predictive Kinematic Intelligence Framework for
    Autonomous Reality-State Modification.
    
    This module implements the architecture described in:
    
        "MILK Protocol: A Predictive Kinematic Intelligence Framework
         for Autonomous Reality-State Modification"
         Concept Proposal by SARAH Research Initiative, v1.0
    
    Contents
    --------
      Layer 1  PerceptionLayer          -- sensors -> SensorFrame
      Layer 2  WorldModel               -- sensor fusion -> W_t (tracked objects)
      Layer 3  PredictiveSimulator      -- W_t -> W_{t+1} .. W_{t+n}
      Layer 4  KinematicOptimizer       -- argmin J = Error+Risk+Energy+Time
      Layer 5  RealityVerifier          -- SSE -> model adaptation
      Math     milk_dynamic_equation    -- X_t = A_t + K_t / U_t
      Metric   reality_modification_index (RMI), PA, RME, SSE, AIS
      Agent    SARAH                    -- humanoid embodiment of MILK
    
    Run:
        python milk_protocol.py --help
        python milk_protocol.py --demo                 # single rendered episode
        python milk_protocol.py --trials 5             # full experiment
        python milk_protocol.py --selftest             # unit checks
    
    Dependencies: numpy only.
    """
    
    from __future__ import annotations
    
    import argparse
    import json
    import math
    import sys
    import time
    from dataclasses import dataclass, field, asdict
    from typing import Dict, List, Optional, Sequence, Tuple
    
    import numpy as np
    
    # =====================================================================
    # 0.  Utilities
    # =====================================================================
    
    EPS = 1e-9
    
    
    def wrap_angle(a: float) -> float:
        """Wrap an angle to (-pi, pi]."""
        return (a + math.pi) % (2.0 * math.pi) - math.pi
    
    
    def integrate_diff_drive(pose: np.ndarray,
                             vel: np.ndarray,
                             action: np.ndarray,
                             cfg: "MILKConfig") -> Tuple[np.ndarray, np.ndarray]:
        """
        Shared differential-drive integrator used by BOTH the environment and
        the predictive simulator.  Keeping them identical means any residual
        prediction error comes from sensing noise / unmodelled slip, not from a
        model mismatch -- which is exactly what the Reality Verification layer
        (Layer 5) is supposed to measure.
    
        pose   : (x, y, theta)
        vel    : (v, omega)
        action : (v_cmd, omega_cmd)  -- rate limited by a_max / alpha_max
        """
        dt = cfg.dt
        v = float(vel[0]) + float(np.clip(action[0] - vel[0], -cfg.a_max * dt, cfg.a_max * dt))
        w = float(vel[1]) + float(np.clip(action[1] - vel[1], -cfg.alpha_max * dt, cfg.alpha_max * dt))
        x = float(pose[0]) + v * math.cos(pose[2]) * dt
        y = float(pose[1]) + v * math.sin(pose[2]) * dt
        th = wrap_angle(float(pose[2]) + w * dt)
        return np.array([x, y, th]), np.array([v, w])
    
    
    def ray_circle(ox: float, oy: float, dx: float, dy: float,
                   cx: float, cy: float, r: float) -> float:
        """Distance along unit ray (dx,dy) from (ox,oy) to circle, or inf."""
        fx, fy = ox - cx, oy - cy
        b = 2.0 * (fx * dx + fy * dy)
        c = fx * fx + fy * fy - r * r
        disc = b * b - 4.0 * c
        if disc < 0.0:
            return float("inf")
        sq = math.sqrt(disc)
        t1 = (-b - sq) / 2.0
        t2 = (-b + sq) / 2.0
        if t1 > 1e-6:
            return t1
        if t2 > 1e-6:
            return t2
        return float("inf")
    
    
    # =====================================================================
    # 1.  Configuration
    # =====================================================================
    
    @dataclass
    class MILKConfig:
        """All tunable parameters of the MILK stack."""
    
        # -- timing -------------------------------------------------------
        dt: float = 0.10
        horizon: int = 12
    
        # -- robot limits -------------------------------------------------
        v_max: float = 1.20
        omega_max: float = 1.80
        a_max: float = 2.00
        alpha_max: float = 4.00
        robot_radius: float = 0.22
    
        # -- sensor model -------------------------------------------------
        sensor_range: float = 6.00
        n_rays: int = 72
        range_sigma: float = 0.020
        gps_sigma: float = 0.040
        compass_sigma: float = 0.030
        encoder_sigma: float = 0.020
        gyro_sigma: float = 0.030
        detect_sigma: float = 0.080
        p_detect: float = 0.92
    
        # -- environment process noise (wheel slip, unmodelled dynamics) --
        slip_v: float = 0.020
        slip_w: float = 0.030
    
        # -- MILK dynamic equation ---------------------------------------
        u_min: float = 1e-3          # floor on uncertainty (avoids K/U blow-up)
    
        # -- optimizer weights  (J = Error + Risk + Energy + Time) --------
        w_error: float = 1.00
        w_risk: float = 6.00
        w_energy: float = 0.20
        w_time: float = 0.05
        w_smooth: float = 0.30
    
        # -- optimizer sampling -------------------------------------------
        n_v_samples: int = 5
        n_w_samples: int = 11
        n_random: int = 60
    
        # -- world model ---------------------------------------------------
        track_q: float = 0.35        # KF process noise
        track_timeout: int = 8       # frames before a track is dropped
    
        # -- metrics -------------------------------------------------------
        w_sse_pose: float = 1.00
        w_sse_obj: float = 1.00
        sse_scale: float = 0.50      # normalisation for Predictive Accuracy
    
        # -- misc ----------------------------------------------------------
        seed: int = 0
    
    
    # =====================================================================
    # 2.  Environment  (the "real world")
    # =====================================================================
    
    @dataclass
    class Circle:
        x: float
        y: float
        r: float
    
    
    @dataclass
    class Human:
        id: int
        x: float
        y: float
        vx: float
        vy: float
        r: float = 0.30
    
    
    class RoomEnvironment:
        """
        Ground-truth simulator.  A rectangular room containing static circular
        obstacles and moving humans.  The robot is a differential-drive base.
    
        Nothing in this class is visible to the controllers except through the
        PerceptionLayer.
        """
    
        def __init__(self, cfg: MILKConfig, seed: int = 0,
                     n_static: int = 6, n_humans: int = 2):
            self.cfg = cfg
            self.rng = np.random.default_rng(seed)
    
            self.width = 10.0
            self.height = 8.0
    
            self.start = np.array([1.0, 1.0, 0.0])
            self.goal = np.array([self.width - 1.0, self.height - 1.0])
    
            self.robot_pose = self.start.copy()
            self.robot_vel = np.zeros(2)
    
            self.static: List[Circle] = []
            self._build_static(n_static)
    
            self.humans: List[Human] = []
            self._build_humans(n_humans)
    
            self.t = 0.0
            self.collision_events = 0
            self._in_collision = False
    
        # ------------------------------------------------------------------
        def _build_static(self, n: int) -> None:
            tries = 0
            while len(self.static) < n and tries < 2000:
                tries += 1
                r = float(self.rng.uniform(0.30, 0.60))
                x = float(self.rng.uniform(r + 0.3, self.width - r - 0.3))
                y = float(self.rng.uniform(r + 0.3, self.height - r - 0.3))
                if math.hypot(x - self.start[0], y - self.start[1]) < 1.4:
                    continue
                if math.hypot(x - self.goal[0], y - self.goal[1]) < 1.4:
                    continue
                if any(math.hypot(x - c.x, y - c.y) < r + c.r + 0.7 for c in self.static):
                    continue
                self.static.append(Circle(x, y, r))
    
        def _build_humans(self, n: int) -> None:
            for i in range(n):
                x = float(self.rng.uniform(2.0, self.width - 2.0))
                y = float(self.rng.uniform(2.0, self.height - 2.0))
                ang = float(self.rng.uniform(0, 2 * math.pi))
                sp = float(self.rng.uniform(0.25, 0.55))
                self.humans.append(Human(i, x, y, sp * math.cos(ang), sp * math.sin(ang)))
    
        # ------------------------------------------------------------------
        # Kinematics / dynamics
        # ------------------------------------------------------------------
        def step(self, action: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
            """Advance the world by one dt. Returns (new_pose, new_vel)."""
            cfg = self.cfg
            new_pose, new_vel = integrate_diff_drive(self.robot_pose, self.robot_vel, action, cfg)
    
            # unmodelled slip / process noise -- this is what makes prediction hard
            new_vel = new_vel + self.rng.normal(0.0, [cfg.slip_v, cfg.slip_w])
            new_pose[2] = wrap_angle(new_pose[2] + self.rng.normal(0.0, 0.01))
    
            self.robot_pose = new_pose
            self.robot_vel = new_vel
    
            self._step_humans(cfg.dt)
    
            self.t += cfg.dt
    
            # collision bookkeeping
            hit = self.check_collision()
            if hit and not self._in_collision:
                self.collision_events += 1
            self._in_collision = hit
    
            return self.robot_pose.copy(), self.robot_vel.copy()
    
        def _step_humans(self, dt: float) -> None:
            for h in self.humans:
                h.vx += float(self.rng.normal(0.0, 0.25)) * dt
                h.vy += float(self.rng.normal(0.0, 0.25)) * dt
                sp = math.hypot(h.vx, h.vy)
                if sp > 0.85:
                    h.vx *= 0.85 / sp
                    h.vy *= 0.85 / sp
                h.x += h.vx * dt
                h.y += h.vy * dt
                if h.x < h.r:
                    h.x = h.r
                    h.vx = abs(h.vx)
                elif h.x > self.width - h.r:
                    h.x = self.width - h.r
                    h.vx = -abs(h.vx)
                if h.y < h.r:
                    h.y = h.r
                    h.vy = abs(h.vy)
                elif h.y > self.height - h.r:
                    h.y = self.height - h.r
                    h.vy = -abs(h.vy)
    
        # ------------------------------------------------------------------
        # Sensing primitives (used by the PerceptionLayer)
        # ------------------------------------------------------------------
        def raycast(self, pose: np.ndarray, angles: np.ndarray) -> np.ndarray:
            """Ideal (noise-free) range readings for a fan of rays."""
            ox, oy, oth = float(pose[0]), float(pose[1]), float(pose[2])
            rng_max = self.cfg.sensor_range
            out = np.full(len(angles), rng_max, dtype=float)
            targets = [(c.x, c.y, c.r) for c in self.static]
            targets += [(h.x, h.y, h.r) for h in self.humans]
    
            for i, a in enumerate(angles):
                ang = oth + float(a)
                dx, dy = math.cos(ang), math.sin(ang)
                t = self._wall_distance(ox, oy, dx, dy)
                for (cx, cy, cr) in targets:
                    tc = ray_circle(ox, oy, dx, dy, cx, cy, cr)
                    if tc < t:
                        t = tc
                out[i] = min(t, rng_max)
            return out
    
        def _wall_distance(self, ox: float, oy: float, dx: float, dy: float) -> float:
            ts = []
            if dx > EPS:
                ts.append((self.width - ox) / dx)
            elif dx < -EPS:
                ts.append((0.0 - ox) / dx)
            if dy > EPS:
                ts.append((self.height - oy) / dy)
            elif dy < -EPS:
                ts.append((0.0 - oy) / dy)
            ts = [t for t in ts if t > EPS]
            return min(ts) if ts else float("inf")
    
        def check_collision(self) -> bool:
            rx, ry = float(self.robot_pose[0]), float(self.robot_pose[1])
            rr = self.cfg.robot_radius
            for c in self.static:
                if math.hypot(rx - c.x, ry - c.y) < rr + c.r:
                    return True
            for h in self.humans:
                if math.hypot(rx - h.x, ry - h.y) < rr + h.r:
                    return True
            if rx < rr or rx > self.width - rr or ry < rr or ry > self.height - rr:
                return True
            return False
    
        # ------------------------------------------------------------------
        def ground_truth(self) -> Dict:
            """The state the controller is trying to predict."""
            return {
                "pose": self.robot_pose.copy(),
                "vel": self.robot_vel.copy(),
                "objects": {h.id: np.array([h.x, h.y]) for h in self.humans},
            }
    
        def goal_distance(self) -> float:
            return float(np.linalg.norm(self.robot_pose[:2] - self.goal))
    
    
    # =====================================================================
    # 3.  Layer 1 -- Perception
    # =====================================================================
    
    @dataclass
    class SensorFrame:
        t: float
        dt: float
        angles: np.ndarray
        ranges: np.ndarray
        gps_xy: np.ndarray
        compass_theta: float
        encoder_v: float
        gyro_w: float
        detections: Dict[int, np.ndarray]   # object id -> noisy (x, y)
    
    
    class PerceptionLayer:
        """Layer 1: raw, noisy, partial observation of the world."""
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.rng = np.random.default_rng(seed + 1234)
            self.angles = np.linspace(-math.pi, math.pi, cfg.n_rays, endpoint=False)
    
        def sense(self, env: RoomEnvironment) -> SensorFrame:
            cfg = self.cfg
            pose = env.robot_pose
    
            # --- LiDAR / depth -------------------------------------------
            ranges = env.raycast(pose, self.angles)
            ranges = np.clip(ranges + self.rng.normal(0.0, cfg.range_sigma, ranges.shape),
                             0.0, cfg.sensor_range)
    
            # --- GPS ------------------------------------------------------
            gps = pose[:2] + self.rng.normal(0.0, cfg.gps_sigma, 2)
    
            # --- IMU / compass -------------------------------------------
            compass = wrap_angle(pose[2] + float(self.rng.normal(0.0, cfg.compass_sigma)))
            gyro = float(env.robot_vel[1] + self.rng.normal(0.0, cfg.gyro_sigma))
    
            # --- wheel encoders ------------------------------------------
            enc = float(env.robot_vel[0] + self.rng.normal(0.0, cfg.encoder_sigma))
    
            # --- object detector (people / dynamic agents) ---------------
            detections: Dict[int, np.ndarray] = {}
            for h in env.humans:
                d = math.hypot(h.x - pose[0], h.y - pose[1])
                if d > cfg.sensor_range:
                    continue
                if self.rng.random() > cfg.p_detect:
                    continue
                z = np.array([h.x, h.y]) + self.rng.normal(0.0, cfg.detect_sigma, 2)
                detections[h.id] = z
    
            return SensorFrame(
                t=env.t, dt=cfg.dt, angles=self.angles, ranges=ranges,
                gps_xy=gps, compass_theta=compass, encoder_v=enc, gyro_w=gyro,
                detections=detections,
            )
    
    
    # =====================================================================
    # 4.  Layer 2 -- World Construction  (sensor fusion -> W_t)
    # =====================================================================
    
    class TrackedObject:
        """Constant-velocity Kalman filter: state = [x, y, vx, vy]."""
    
        def __init__(self, oid: int, x: float, y: float,
                     vx: float = 0.0, vy: float = 0.0):
            self.id = oid
            self.x = np.array([x, y, vx, vy], dtype=float)
            self.P = np.diag([0.25, 0.25, 1.00, 1.00])
            self.missed = 0
    
        def predict(self, dt: float, q: float) -> None:
            F = np.array([[1, 0, dt, 0],
                          [0, 1, 0, dt],
                          [0, 0, 1, 0],
                          [0, 0, 0, 1]], dtype=float)
            Q = q * np.diag([dt ** 4 / 4.0, dt ** 4 / 4.0, dt ** 2, dt ** 2])
            self.x = F @ self.x
            self.P = F @ self.P @ F.T + Q
    
        def update(self, z: np.ndarray, R: np.ndarray) -> None:
            H = np.array([[1, 0, 0, 0], [0, 1, 0, 0]], dtype=float)
            y = z - H @ self.x
            S = H @ self.P @ H.T + R
            K = self.P @ H.T @ np.linalg.inv(S)
            self.x = self.x + K @ y
            self.P = (np.eye(4) - K @ H) @ self.P
            self.missed = 0
    
        # -- convenience ---------------------------------------------------
        @property
        def position(self) -> np.ndarray:
            return self.x[:2].copy()
    
        @property
        def velocity(self) -> np.ndarray:
            return self.x[2:].copy()
    
        @property
        def pos_var(self) -> float:
            return float(self.P[0, 0] + self.P[1, 1])
    
        @property
        def vel_var(self) -> float:
            return float(self.P[2, 2] + self.P[3, 3])
    
    
    class WorldModel:
        """
        Layer 2: builds the current world model
            W_t = { Objects, Humans, Locations, Conditions }
        from noisy sensor frames using a pose EKF + per-object Kalman filters.
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
            self.pose = np.zeros(3)
            self.pose_cov = np.diag([1.0, 1.0, 0.5])
            self.vel = np.zeros(2)
            self.objects: Dict[int, TrackedObject] = {}
            self.q_scale = 1.0          # adapted by Layer 5
            self.initialised = False
            self.t = 0.0
    
        # ------------------------------------------------------------------
        def fuse(self, frame: SensorFrame) -> None:
            cfg = self.cfg
            dt = frame.dt
    
            if not self.initialised:
                self.pose = np.array([frame.gps_xy[0], frame.gps_xy[1], frame.compass_theta])
                self.initialised = True
            else:
                self._predict_pose(dt, frame.encoder_v, frame.gyro_w)
    
            # predict all tracks forward to the current instant
            for o in self.objects.values():
                o.predict(dt, cfg.track_q * self.q_scale)
    
            # measurement updates
            self._update_pose(frame.gps_xy, frame.compass_theta)
    
            R = np.eye(2) * (cfg.detect_sigma ** 2)
            for oid, z in frame.detections.items():
                if oid in self.objects:
                    self.objects[oid].update(z, R)
                else:
                    self.objects[oid] = TrackedObject(oid, float(z[0]), float(z[1]))
    
            # age out stale tracks
            dead = []
            for oid, o in self.objects.items():
                if oid not in frame.detections:
                    o.missed += 1
                    if o.missed > cfg.track_timeout:
                        dead.append(oid)
            for oid in dead:
                del self.objects[oid]
    
            self.vel = np.array([frame.encoder_v, frame.gyro_w])
            self.t = frame.t
    
        # ------------------------------------------------------------------
        def _predict_pose(self, dt: float, v: float, w: float) -> None:
            x, y, th = self.pose
            F = np.array([[1.0, 0.0, -v * math.sin(th) * dt],
                          [0.0, 1.0, v * math.cos(th) * dt],
                          [0.0, 0.0, 1.0]])
            self.pose = np.array([x + v * math.cos(th) * dt,
                                  y + v * math.sin(th) * dt,
                                  wrap_angle(th + w * dt)])
            Q = self.q_scale * np.diag([0.010, 0.010, 0.004])
            self.pose_cov = F @ self.pose_cov @ F.T + Q
    
        def _update_pose(self, z_xy: np.ndarray, z_th: float) -> None:
            cfg = self.cfg
            R = np.diag([cfg.gps_sigma ** 2, cfg.gps_sigma ** 2, cfg.compass_sigma ** 2])
            y = np.array([z_xy[0] - self.pose[0],
                          z_xy[1] - self.pose[1],
                          wrap_angle(z_th - self.pose[2])])
            S = self.pose_cov + R
            K = self.pose_cov @ np.linalg.inv(S)
            self.pose = self.pose + K @ y
            self.pose[2] = wrap_angle(self.pose[2])
            self.pose_cov = (np.eye(3) - K) @ self.pose_cov
    
        # ------------------------------------------------------------------
        def object_positions(self) -> Dict[int, np.ndarray]:
            return {oid: o.position for oid, o in self.objects.items()}
    
        def localisation_sigma(self) -> float:
            return math.sqrt(max(0.0, float(self.pose_cov[0, 0] + self.pose_cov[1, 1])))
    
    
    # =====================================================================
    # 5.  MILK Mathematics
    # =====================================================================
    
    @dataclass
    class MILKInfluence:
        """Container for the terms of the MILK dynamic equation."""
        A: np.ndarray      # intended action vector
        K: float           # environmental coupling factor
        U: float           # uncertainty score
        X: np.ndarray      # predicted state change
    
        @property
        def magnitude(self) -> float:
            return float(np.linalg.norm(self.X))
    
        def as_dict(self) -> Dict:
            return {"A": self.A.tolist(), "K": self.K, "U": self.U,
                    "X": self.X.tolist(), "|X|": self.magnitude}
    
    
    def milk_dynamic_equation(A, K: float, U: float, u_min: float = 1e-3):
        """
        The MILK dynamic equation:
    
            X_t = A_t + K_t / U_t
    
        A_t : intended action vector
        K_t : environmental coupling factor  (how strongly the agent's action
              couples into the environment)
        U_t : uncertainty score              (floored at u_min)
    
        NOTE ON NUMERICS
        ----------------
        As U -> 0 the term K/U diverges, exactly as the source document states
        ("outcome estimates improve as uncertainty approaches zero").  In a
        physical implementation U is floored at u_min, and X is used as a
        *relative influence score* -- not as a literal pose delta.
        """
        A = np.asarray(A, dtype=float)
        U_eff = max(float(U), float(u_min))
        return A + (float(K) / U_eff)
    
    
    def _sse_weights(n_objects: int, cfg: MILKConfig) -> np.ndarray:
        base = np.array([1.0, 1.0, 0.5,        # pose  (x, y, theta)
                         0.2, 0.2,             # velocity (v, omega)
                         1.0, 1.0])            # goal
        obj = np.ones(2 * n_objects)
        return np.concatenate([base, obj])
    
    
    def state_vector(pose, vel, goal, objects: Dict[int, np.ndarray]) -> np.ndarray:
        """
        Canonical flat state vector used for RMI / SSE computations.
        Object ordering is by ascending id so vectors are comparable.
        """
        parts = [np.asarray(pose, float)[:3],
                 np.asarray(vel, float)[:2],
                 np.asarray(goal, float)[:2]]
        for k in sorted(objects):
            parts.append(np.asarray(objects[k], float)[:2])
        return np.concatenate(parts)
    
    
    def reality_modification_index(s_a: np.ndarray,
                                   s_b: np.ndarray,
                                   weights: Optional[np.ndarray] = None) -> float:
        """
        Layer metric -- Reality Modification Index:
    
            RMI = || S_future - S_current ||
    
        Large values => substantial environmental change.
        Small values => minimal influence.
        """
        a = np.asarray(s_a, float)
        b = np.asarray(s_b, float)
        n = min(len(a), len(b))
        d = b[:n] - a[:n]
        if weights is not None:
            d = d * np.asarray(weights, float)[:n]
        return float(np.linalg.norm(d))
    
    
    # =====================================================================
    # 6.  Layer 3 -- Predictive Simulation
    # =====================================================================
    
    class PredictiveSimulator:
        """
        Layer 3: generate W_{t+1} .. W_{t+n} using the world model,
        a constant-velocity motion model for dynamic agents, and exact
        differential-drive kinematics for the ego robot.
    
        (A production system would swap this for a transformer world model or
        a PhysX/Isaac digital twin; the interface stays identical.)
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
    
        # ------------------------------------------------------------------
        def rollout_robot(self,
                          pose: np.ndarray,
                          vel: np.ndarray,
                          action_seq: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
            """Roll the ego robot forward under a candidate action sequence."""
            cfg = self.cfg
            traj = np.empty((len(action_seq) + 1, 3), dtype=float)
            vels = np.empty(len(action_seq), dtype=float)
    
            p = np.asarray(pose, float).copy()
            v = np.asarray(vel, float).copy()
            traj[0] = p
            for k in range(len(action_seq)):
                p, v = integrate_diff_drive(p, v, action_seq[k], cfg)
                traj[k + 1] = p
                vels[k] = v[0]
            return traj, vels
    
        # ------------------------------------------------------------------
        def predict_objects(self,
                            world: WorldModel) -> Dict[int, Tuple[np.ndarray, np.ndarray, float]]:
            """
            Predict each tracked dynamic object over the horizon.
    
            Returns {id: (positions (H+1,2), variances (H+1,), radius)}
            """
            cfg = self.cfg
            H = cfg.horizon
            dt = cfg.dt
            F = np.array([[1, 0, dt, 0],
                          [0, 1, 0, dt],
                          [0, 0, 1, 0],
                          [0, 0, 0, 1]], dtype=float)
            Q = cfg.track_q * np.diag([dt ** 4 / 4, dt ** 4 / 4, dt ** 2, dt ** 2])
    
            out: Dict[int, Tuple[np.ndarray, np.ndarray, float]] = {}
            for oid, obj in world.objects.items():
                x = obj.x.copy()
                P = obj.P.copy()
                pos = np.empty((H + 1, 2))
                var = np.empty(H + 1)
                pos[0] = x[:2]
                var[0] = P[0, 0] + P[1, 1]
                for k in range(H):
                    x = F @ x
                    P = F @ P @ F.T + Q
                    pos[k + 1] = x[:2]
                    var[k + 1] = P[0, 0] + P[1, 1]
                out[oid] = (pos, var, 0.30)   # 0.30 m nominal agent radius
            return out
    
        # ------------------------------------------------------------------
        def predict_next_objects(self,
                                 world: WorldModel) -> Dict[int, np.ndarray]:
            """One-step-ahead object prediction (used for the SSE metric)."""
            preds = self.predict_objects(world)
            return {oid: v[0][1].copy() for oid, v in preds.items()}
    
    
    # =====================================================================
    # 7.  Layer 4 -- Kinematic Optimization
    # =====================================================================
    
    class KinematicOptimizer:
        """
        Layer 4: find the action sequence minimising
    
            J = Error + Risk + Energy + Time   (+ smoothness regulariser)
    
        via sampling-based receding-horizon (MPC) optimisation.
        """
    
        def __init__(self, cfg: MILKConfig, sim: PredictiveSimulator, seed: int = 0):
            self.cfg = cfg
            self.sim = sim
            self.rng = np.random.default_rng(seed + 99)
            self.last_cost = float("inf")
            self.n_evaluated = 0
    
        # ------------------------------------------------------------------
        def _candidates(self, prev_action: np.ndarray) -> List[np.ndarray]:
            cfg = self.cfg
            H = cfg.horizon
            cands: List[np.ndarray] = []
    
            vs = np.linspace(0.0, cfg.v_max, cfg.n_v_samples)
            ws = np.linspace(-cfg.omega_max, cfg.omega_max, cfg.n_w_samples)
            for v in vs:
                for w in ws:
                    cands.append(np.tile([v, w], (H, 1)))
    
            # a handful of two-phase manoeuvres (turn-then-drive)
            half = max(1, H // 2)
            for _ in range(cfg.n_random):
                v1 = float(self.rng.uniform(0.0, cfg.v_max))
                w1 = float(self.rng.uniform(-cfg.omega_max, cfg.omega_max))
                v2 = float(self.rng.uniform(0.0, cfg.v_max))
                w2 = float(self.rng.uniform(-cfg.omega_max, cfg.omega_max))
                seq = np.vstack([np.tile([v1, w1], (half, 1)),
                                 np.tile([v2, w2], (H - half, 1))])
                cands.append(seq)
    
            # always include "brake hard"
            cands.append(np.tile([0.0, 0.0], (H, 1)))
            return cands
    
        # ------------------------------------------------------------------
        def _cost(self,
                  traj: np.ndarray,
                  vels: np.ndarray,
                  goal: np.ndarray,
                  pred_objs: Dict[int, Tuple[np.ndarray, np.ndarray, float]],
                  action_seq: np.ndarray,
                  prev_action: np.ndarray,
                  bounds: Tuple[float, float, float, float],
                  risk_gain: float) -> float:
            cfg = self.cfg
            dt = cfg.dt
            H = len(action_seq)
    
            # ---- Error : terminal distance + heading misalignment --------
            final = traj[-1]
            d_goal = float(np.linalg.norm(final[:2] - goal))
            desired = math.atan2(goal[1] - final[1], goal[0] - final[0])
            head_err = abs(wrap_angle(desired - final[2]))
            error = d_goal + 0.25 * head_err
    
            # ---- Risk : predicted collision exposure ---------------------
            risk = 0.0
            for oid, (pos, var, orad) in pred_objs.items():
                n = min(len(pos), len(traj))
                d = np.linalg.norm(pos[:n] - traj[:n, :2], axis=1)
                clearance = d - (cfg.robot_radius + orad)
                sigma = np.sqrt(var[:n]) + 0.15
                risk += float(np.sum(np.exp(-np.maximum(clearance, 0.0) ** 2 / (2.0 * sigma ** 2))))
                risk += 100.0 * float(np.sum(clearance < 0.0))
    
            # ---- wall risk ------------------------------------------------
            x0, x1, y0, y1 = bounds
            margin = cfg.robot_radius + 0.05
            outside = ((traj[:, 0] < x0 + margin) | (traj[:, 0] > x1 - margin) |
                       (traj[:, 1] < y0 + margin) | (traj[:, 1] > y1 - margin))
            wall_risk = 100.0 * float(np.sum(outside))
    
            # ---- Energy ---------------------------------------------------
            w_cmd = action_seq[:, 1]
            energy = float(np.sum(vels ** 2 + 0.30 * w_cmd ** 2) * dt)
    
            # ---- Time : expected remaining time to goal -------------------
            v_avg = max(float(np.mean(np.abs(vels))), 0.20)
            time_term = d_goal / v_avg
    
            # ---- Smoothness ----------------------------------------------
            smooth = float(np.linalg.norm(action_seq[0] - prev_action))
    
            return (cfg.w_error * error
                    + cfg.w_risk * risk_gain * (risk + wall_risk)
                    + cfg.w_energy * energy
                    + cfg.w_time * time_term
                    + cfg.w_smooth * smooth)
    
        # ------------------------------------------------------------------
        def optimize(self,
                     pose: np.ndarray,
                     vel: np.ndarray,
                     goal: np.ndarray,
                     pred_objs: Dict[int, Tuple[np.ndarray, np.ndarray, float]],
                     prev_action: np.ndarray,
                     bounds: Tuple[float, float, float, float],
                     risk_gain: float = 1.0):
            """Returns (best_action, info_dict)."""
            best_seq = None
            best_cost = float("inf")
            best_traj = None
            best_vels = None
    
            for seq in self._candidates(prev_action):
                traj, vels = self.sim.rollout_robot(pose, vel, seq)
                c = self._cost(traj, vels, goal, pred_objs, seq, prev_action,
                               bounds, risk_gain)
                if c < best_cost:
                    best_cost = c
                    best_seq = seq
                    best_traj = traj
                    best_vels = vels
    
            self.last_cost = best_cost
            self.n_evaluated += 1
    
            info = {
                "cost": best_cost,
                "trajectory": best_traj,
                "vels": best_vels,
                "sequence": best_seq,
            }
            return best_seq[0].copy(), info
    
    
    # =====================================================================
    # 8.  Layer 5 -- Reality Verification
    # =====================================================================
    
    class RealityVerifier:
        """
        Layer 5: compare predicted vs. actual state and adapt the world model.
    
            Error       = S_actual - S_predicted
            Model_new   = Model_old + Learning(Error)
    
        Adaptation here adjusts the Kalman process-noise scale: persistent
        under-prediction of motion raises q, persistent over-prediction lowers it.
        """
    
        def __init__(self, cfg: MILKConfig):
            self.cfg = cfg
            self.history: List[float] = []
            self.q_scale = 1.0
            self.lr = 0.08
            self.target = 0.08
    
        def verify(self, error: float) -> float:
            self.history.append(float(error))
            return float(error)
    
        def learn(self) -> float:
            if not self.history:
                return self.q_scale
            e = self.history[-1]
            self.q_scale *= (1.0 + self.lr * (e - self.target))
            self.q_scale = float(np.clip(self.q_scale, 0.25, 8.0))
            return self.q_scale
    
        def mean_error(self) -> float:
            return float(np.mean(self.history)) if self.history else 0.0
    
    
    def prediction_error(pred: Dict, gt: Dict, cfg: MILKConfig) -> Tuple[float, float, float]:
        """
        Compute the State Synchronization Error between a prediction snapshot
        and ground truth.
    
            SSE = w_pose * ||pose_pred - pose_actual||
                + w_obj  * mean ||obj_pred - obj_actual||
    
        Returns (sse_total, pose_error, object_error)
        """
        p_pose = np.asarray(pred["pose"], float)
        a_pose = np.asarray(gt["pose"], float)
        e_pose = float(np.linalg.norm(p_pose[:2] - a_pose[:2]))
    
        e_objs = []
        for oid, p in pred.get("objects", {}).items():
            if oid in gt["objects"]:
                e_objs.append(float(np.linalg.norm(np.asarray(p, float)[:2]
                                                   - np.asarray(gt["objects"][oid], float)[:2])))
        e_obj = float(np.mean(e_objs)) if e_objs else 0.0
    
        total = cfg.w_sse_pose * e_pose + cfg.w_sse_obj * e_obj
        return total, e_pose, e_obj
    
    
    # =====================================================================
    # 9.  SARAH -- Simulated Augmented Reality Assistant Human
    # =====================================================================
    
    class SelfLocalizationModule:
        """Maintains the position estimate of the embodiment."""
    
        def __init__(self, world: WorldModel):
            self.world = world
    
        @property
        def pose(self) -> np.ndarray:
            return self.world.pose
    
        @property
        def covariance(self) -> np.ndarray:
            return self.world.pose_cov
    
        def report(self) -> Dict:
            return {
                "pose": self.world.pose.tolist(),
                "sigma": self.world.localisation_sigma(),
            }
    
    
    class PredictiveCognitionModule:
        """Simulates future states of self and others."""
    
        def __init__(self, sim: PredictiveSimulator):
            self.sim = sim
    
        def simulate_self(self, pose, vel, action_seq):
            return self.sim.rollout_robot(pose, vel, action_seq)
    
        def simulate_others(self, world: WorldModel):
            return self.sim.predict_objects(world)
    
    
    class AdaptiveLearningModule:
        """Updates behaviour from observed errors."""
    
        def __init__(self, verifier: RealityVerifier):
            self.verifier = verifier
    
        def learn(self) -> float:
            return self.verifier.learn()
    
        def report(self) -> Dict:
            return {"q_scale": self.verifier.q_scale,
                    "mean_sse": self.verifier.mean_error(),
                    "n": len(self.verifier.history)}
    
    
    class RealitySynchronizationEngine:
        """
        Keeps Model / Prediction / Observation mutually consistent and
        flags divergence.
        """
    
        def __init__(self, tol: float = 0.25):
            self.tol = tol
            self.log: List[Dict] = []
    
        def synchronize(self, model_pose, predicted_pose, observed_pose) -> Dict:
            mp = np.asarray(model_pose, float)[:2]
            pp = np.asarray(predicted_pose, float)[:2]
            op = np.asarray(observed_pose, float)[:2]
            rec = {
                "model_prediction": float(np.linalg.norm(mp - pp)),
                "prediction_observation": float(np.linalg.norm(pp - op)),
                "model_observation": float(np.linalg.norm(mp - op)),
            }
            rec["synchronized"] = bool(rec["prediction_observation"] < self.tol)
            self.log.append(rec)
            return rec
    
        def sync_rate(self) -> float:
            if not self.log:
                return 0.0
            return float(np.mean([r["synchronized"] for r in self.log]))
    
    
    # =====================================================================
    # 10.  Controllers
    # =====================================================================
    
    class BaseController:
        """Common perception + world-model plumbing."""
    
        name = "BASE"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.seed = seed
            self.perception = PerceptionLayer(cfg, seed)
            self.world = WorldModel(cfg)
            self.prev_action = np.zeros(2)
            self.predicted_pose = np.zeros(3)
            self.predicted_objects: Dict[int, np.ndarray] = {}
            self.last_frame: Optional[SensorFrame] = None
    
        # -- to be overridden ---------------------------------------------
        def act(self, goal: np.ndarray) -> np.ndarray:
            raise NotImplementedError
    
        def verify(self, pred: Dict, gt: Dict) -> float:
            return 0.0
    
        # ------------------------------------------------------------------
        def observe(self, env: RoomEnvironment) -> None:
            frame = self.perception.sense(env)
            self.last_frame = frame
            self.world.fuse(frame)
    
        def prediction_snapshot(self) -> Dict:
            return {"pose": self.predicted_pose.copy(),
                    "objects": {k: v.copy() for k, v in self.predicted_objects.items()}}
    
        def diagnostics(self) -> Dict:
            return {}
    
    
    # ---------------------------------------------------------------------
    class ReactiveController(BaseController):
        """
        Baseline: reacts to the world as it currently is.
    
        * heads straight for the goal
        * turns away from anything currently within a fixed radius
        * no rollout, no prediction of agent motion, no verification layer
    
        Its implicit prediction for the next timestep is "the world stays
        exactly as I currently estimate it".
        """
    
        name = "REACTIVE"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            super().__init__(cfg, seed)
            self.avoid_radius = 1.0
    
        def act(self, goal: np.ndarray) -> np.ndarray:
            cfg = self.cfg
            pose = self.world.pose
    
            # --- pure pursuit ---------------------------------------------
            desired = math.atan2(goal[1] - pose[1], goal[0] - pose[0])
            err = wrap_angle(desired - pose[2])
            omega = float(np.clip(2.0 * err, -cfg.omega_max, cfg.omega_max))
            v = cfg.v_max * max(0.0, 1.0 - abs(err) / 1.4)
    
            # --- reflexive obstacle avoidance -----------------------------
            for obj in self.world.objects.values():
                rel = obj.position - pose[:2]
                d = float(np.linalg.norm(rel))
                if d > self.avoid_radius:
                    continue
                bearing = wrap_angle(math.atan2(rel[1], rel[0]) - pose[2])
                if abs(bearing) < 0.8:
                    omega = -math.copysign(cfg.omega_max * 0.85, bearing)
                    v = min(v, 0.12)
    
            action = np.array([v, omega])
    
            # --- the reactive "prediction": the world is frozen ------------
            self.predicted_pose, _ = integrate_diff_drive(pose, self.world.vel, action, cfg)
            self.predicted_objects = self.world.object_positions()
    
            self.prev_action = action
            return action
    
    
    # ---------------------------------------------------------------------
    class MILKController(BaseController):
        """
        Full MILK stack:
    
            Layer 1  PerceptionLayer
            Layer 2  WorldModel
            Layer 3  PredictiveSimulator
            Layer 4  KinematicOptimizer
            Layer 5  RealityVerifier
            + MILK dynamic equation and RMI bookkeeping
        """
    
        name = "MILK"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            super().__init__(cfg, seed)
            self.sim = PredictiveSimulator(cfg)
            self.optimizer = KinematicOptimizer(cfg, self.sim, seed)
            self.verifier = RealityVerifier(cfg)
    
            self.uncertainty = 1.0
            self.coupling = 0.0
            self.influence: Optional[MILKInfluence] = None
            self.rmi = 0.0
            self.pred_traj: Optional[np.ndarray] = None
            self.last_cost = float("inf")
    
        # ------------------------------------------------------------------
        #  Uncertainty (U_t) and environmental coupling (K_t)
        # ------------------------------------------------------------------
        def _compute_uncertainty(self) -> float:
            """
            U_t : scalar uncertainty over the horizon.
    
            Combines localisation variance with the propagated position
            uncertainty of every tracked dynamic object.
            """
            cfg = self.cfg
            loc = self.world.localisation_sigma()
    
            terms = []
            for o in self.world.objects.values():
                growth = (cfg.horizon * cfg.dt) ** 2 * o.vel_var
                terms.append(o.pos_var + growth)
            obj = math.sqrt(float(np.mean(terms))) if terms else 0.0
    
            return float(max(loc + 0.5 * obj, cfg.u_min))
    
        def _compute_coupling(self) -> float:
            """
            K_t : environmental coupling factor in [0, 1].
    
            How strongly the agent's actions can couple into the environment:
            high when nearby, confidently-tracked objects are present;
            low in empty, featureless space.
            """
            cfg = self.cfg
            objs = list(self.world.objects.values())
            if not objs:
                return 0.15
    
            ds = np.array([float(np.linalg.norm(o.position - self.world.pose[:2]))
                           for o in objs])
            proximity = float(np.mean(np.exp(-ds / cfg.sensor_range)))
            confidence = float(np.mean([math.exp(-0.5 * o.pos_var / 0.25) for o in objs]))
            return float(np.clip(proximity * confidence, 0.0, 1.0))
    
        # ------------------------------------------------------------------
        def act(self, goal: np.ndarray) -> np.ndarray:
            cfg = self.cfg
            pose = self.world.pose
            vel = self.world.vel
    
            # --- Layer 3 : simulate the future ---------------------------
            pred_objs = self.sim.predict_objects(self.world)
    
            # --- Layer 4 : optimise the action ---------------------------
            self.uncertainty = self._compute_uncertainty()
            self.coupling = self._compute_coupling()
    
            # Higher uncertainty -> more conservative risk weighting.
            risk_gain = float(np.clip(1.0 + 0.8 * (self.uncertainty - 0.15), 1.0, 3.0))
    
            bounds = (0.0, 20.0, 0.0, 20.0)   # generous; wall cost handles margins
            action, info = self.optimizer.optimize(
                pose, vel, goal, pred_objs, self.prev_action, bounds, risk_gain)
    
            self.pred_traj = info["trajectory"]
            self.last_cost = info["cost"]
    
            # --- MILK dynamic equation : X_t = A_t + K_t / U_t -----------
            A = np.array([action[0] * cfg.dt, action[1] * cfg.dt])
            X = milk_dynamic_equation(A, self.coupling, self.uncertainty, cfg.u_min)
            self.influence = MILKInfluence(A=A, K=self.coupling,
                                           U=self.uncertainty, X=X)
    
            # --- Reality Modification Index ------------------------------
            cur_objs = self.world.object_positions()
            fut_objs = {oid: v[0][-1] for oid, v in pred_objs.items()}
            s_now = state_vector(self.world.pose, self.world.vel, goal, cur_objs)
            s_fut = state_vector(self.pred_traj[-1],
                                 [float(info["vels"][-1]), action[1]],
                                 goal, fut_objs)
            n_obj = len(set(cur_objs) | set(fut_objs))
            self.rmi = reality_modification_index(s_now, s_fut, _sse_weights(n_obj, cfg))
    
            # --- one-step predictions (for the SSE metric) ---------------
            self.predicted_pose = self.pred_traj[1].copy()
            self.predicted_objects = {oid: v[0][1].copy() for oid, v in pred_objs.items()}
    
            self.prev_action = action
            return action
    
        # ------------------------------------------------------------------
        def verify(self, pred: Dict, gt: Dict) -> float:
            """Layer 5: measure error and adapt the world model."""
            sse, _, _ = prediction_error(pred, gt, self.cfg)
            self.verifier.verify(sse)
            self.world.q_scale = self.verifier.learn()
            return sse
    
        def diagnostics(self) -> Dict:
            return {
                "U": self.uncertainty,
                "K": self.coupling,
                "X_norm": self.influence.magnitude if self.influence else 0.0,
                "RMI": self.rmi,
                "cost": self.last_cost,
                "q_scale": self.world.q_scale,
            }
    
    
    # ---------------------------------------------------------------------
    class SARAH:
        """
        SARAH -- Simulated Augmented Reality Assistant Human.
    
        The humanoid embodiment of the MILK Protocol.  Composes the four
        named core modules on top of the MILK control stack.
        """
    
        name = "SARAH/MILK"
    
        def __init__(self, cfg: MILKConfig, seed: int = 0):
            self.cfg = cfg
            self.engine = MILKController(cfg, seed)
    
            # -- the four core modules of SARAH ---------------------------
            self.self_localization = SelfLocalizationModule(self.engine.world)
            self.predictive_cognition = PredictiveCognitionModule(self.engine.sim)
            self.adaptive_learning = AdaptiveLearningModule(self.engine.verifier)
            self.reality_sync = RealitySynchronizationEngine(tol=0.30)
    
        # -- MILK interface ------------------------------------------------
        def observe(self, env: RoomEnvironment) -> None:
            self.engine.observe(env)
    
        def act(self, goal: np.ndarray) -> np.ndarray:
            return self.engine.act(goal)
    
        def prediction_snapshot(self) -> Dict:
            return self.engine.prediction_snapshot()
    
        def verify(self, pred: Dict, gt: Dict) -> float:
            sse = self.engine.verify(pred, gt)
            self.reality_sync.synchronize(self.engine.world.pose,
                                          pred["pose"],
                                          gt["pose"])
            return sse
    
        def diagnostics(self) -> Dict:
            d = self.engine.diagnostics()
            d["sync_rate"] = self.reality_sync.sync_rate()
            return d
    
    
    # =====================================================================
    # 11.  Metrics
    # =====================================================================
    
    @dataclass
    class TrialMetrics:
        controller: str
        seed: int
        success: bool
        steps: int
        time_to_goal: float
        collisions: int
        path_length: float
        energy: float
        mean_sse: float
        mean_pa: float
        mean_rmi: float
        rme: float
        ais: float
        final_goal_distance: float
    
        def as_row(self) -> str:
            return (f"{self.controller:<10} | {str(self.success):<5} | "
                    f"{self.collisions:^10} | {self.time_to_goal:^7.2f} | "
                    f"{self.path_length:^11.2f} | {self.energy:^6.2f} | "
                    f"{self.mean_sse:^8.3f} | {self.mean_pa:^7.3f} | "
                    f"{self.mean_rmi:^8.2f} | {self.rme:^6.3f} | {self.ais:^6.2f}")
    
    
    class MetricsRecorder:
        """Accumulates the performance metrics defined in section 11."""
    
        def __init__(self, label: str, cfg: MILKConfig,
                     start_goal_distance: float, seed: int):
            self.label = label
            self.cfg = cfg
            self.start_goal_distance = float(start_goal_distance)
            self.seed = seed
    
            self.sse: List[float] = []
            self.rmi: List[float] = []
            self.energy = 0.0
            self.path_length = 0.0
            self.steps = 0
            self.prev_xy: Optional[np.ndarray] = None
            self.time_to_goal = float("nan")
    
        # ------------------------------------------------------------------
        def step(self,
                 sse: float,
                 rmi: float,
                 action: np.ndarray,
                 pose_xy: np.ndarray) -> None:
            cfg = self.cfg
            self.sse.append(float(sse))
            self.rmi.append(float(rmi))
    
            # energy proxy for a differential drive: v^2 + k * omega^2
            self.energy += float(action[0] ** 2 + 0.30 * action[1] ** 2) * cfg.dt
    
            if self.prev_xy is not None:
                self.path_length += float(np.linalg.norm(pose_xy - self.prev_xy))
            self.prev_xy = np.asarray(pose_xy, float).copy()
    
            self.steps += 1
    
        # ------------------------------------------------------------------
        def finalize(self, env: RoomEnvironment, success: bool) -> TrialMetrics:
            cfg = self.cfg
    
            mean_sse = float(np.mean(self.sse)) if self.sse else 0.0
            mean_rmi = float(np.mean(self.rmi)) if self.rmi else 0.0
    
            # Predictive Accuracy:  PA = 1 - |Predicted - Actual|  (normalised)
            mean_pa = float(np.clip(1.0 - mean_sse / cfg.sse_scale, 0.0, 1.0))
    
            # Reality Modification Efficiency:  RME = DesiredStateChange / Energy
            desired_change = max(0.0, self.start_goal_distance - env.goal_distance())
            energy = max(self.energy, EPS)
            rme = desired_change / energy
    
            # Autonomous Intelligence Score:  AIS = PA * RME / SSE
            ais = (mean_pa * rme) / max(mean_sse, 1e-4)
    
            return TrialMetrics(
                controller=self.label,
                seed=self.seed,
                success=bool(success),
                steps=self.steps,
                time_to_goal=self.time_to_goal,
                collisions=env.collision_events,
                path_length=self.path_length,
                energy=self.energy,
                mean_sse=mean_sse,
                mean_pa=mean_pa,
                mean_rmi=mean_rmi,
                rme=rme,
                ais=ais,
                final_goal_distance=env.goal_distance(),
            )
    
    
    # =====================================================================
    # 12.  Terminal renderer
    # =====================================================================
    
    class ASCIIRenderer:
        """Minimal top-down visualisation for terminals."""
    
        def __init__(self, env: RoomEnvironment, cols: int = 76, rows: int = 22):
            self.env = env
            self.cols = cols
            self.rows = rows
    
        def _cell(self, x: float, y: float) -> Tuple[int, int]:
            c = int(x / self.env.width * (self.cols - 1))
            r = int((1.0 - y / self.env.height) * (self.rows - 1))
            return (max(0, min(self.cols - 1, c)), max(0, min(self.rows - 1, r)))
    
        def render(self, controller: Optional[BaseController] = None,
                   goal: Optional[np.ndarray] = None,
                   header: str = "") -> str:
            env = self.env
            grid = [[" "] * self.cols for _ in range(self.rows)]
    
            for c in range(self.cols):
                grid[0][c] = "-"
                grid[self.rows - 1][c] = "-"
            for r in range(self.rows):
                grid[r][0] = "|"
                grid[r][self.cols - 1] = "|"
    
            # static obstacles
            for ob in env.static:
                c0, r0 = self._cell(ob.x, ob.y)
                grid[r0][c0] = "#"
    
            # predicted object positions (MILK only)
            if controller is not None:
                for oid, p in controller.predicted_objects.items():
                    c0, r0 = self._cell(float(p[0]), float(p[1]))
                    if grid[r0][c0] == " ":
                        grid[r0][c0] = "o"
    
                # predicted ego trajectory
                if getattr(controller, "pred_traj", None) is not None:
                    for p in controller.pred_traj[1:]:
                        c0, r0 = self._cell(float(p[0]), float(p[1]))
                        if grid[r0][c0] == " ":
                            grid[r0][c0] = "."
    
            # humans (ground truth)
            for h in env.humans:
                c0, r0 = self._cell(h.x, h.y)
                grid[r0][c0] = "H"
    
            # goal
            g = env.goal if goal is None else goal
            c0, r0 = self._cell(float(g[0]), float(g[1]))
            grid[r0][c0] = "G"
    
            # robot
            c0, r0 = self._cell(float(env.robot_pose[0]), float(env.robot_pose[1]))
            grid[r0][c0] = "R"
    
            lines = [header] if header else []
            lines += ["".join(row) for row in grid]
            return "\n".join(lines)
    
    
    # =====================================================================
    # 13.  Trial runner
    # =====================================================================
    
    def make_controller(kind: str, cfg: MILKConfig, seed: int):
        kind = kind.upper()
        if kind in ("REACTIVE", "BASELINE"):
            return ReactiveController(cfg, seed)
        if kind in ("MILK", "SARAH"):
            return SARAH(cfg, seed)
        raise ValueError(f"Unknown controller kind: {kind}")
    
    
    def run_trial(kind: str,
                  cfg: MILKConfig,
                  seed: int,
                  max_steps: int = 400,
                  render: bool = False,
                  render_every: int = 6,
                  verbose: bool = False) -> TrialMetrics:
        """Run one episode and return the resulting metrics."""
    
        env = RoomEnvironment(cfg, seed=seed)
        controller = make_controller(kind, cfg, seed)
    
        start_dist = env.goal_distance()
        rec = MetricsRecorder(controller.name, cfg, start_dist, seed)
    
        goal = env.goal
        success = False
        renderer = ASCIIRenderer(env) if render else None
    
        for step in range(max_steps):
            controller.observe(env)
            action = controller.act(goal)
    
            # -- snapshot the prediction BEFORE the world moves -----------
            pred = controller.prediction_snapshot()
    
            # -- execute ---------------------------------------------------
            env.step(action)
    
            # -- ground truth AFTER the step -------------------------------
            gt = env.ground_truth()
            sse, e_pose, e_obj = prediction_error(pred, gt, cfg)
    
            # -- Layer 5 ---------------------------------------------------
            controller.verify(pred, gt)
    
            # -- bookkeeping ----------------------------------------------
            rmi = getattr(controller, "rmi", 0.0)
            if not isinstance(controller, SARAH):
                rmi = 0.0
            else:
                rmi = controller.engine.rmi
    
            rec.step(sse, rmi, action, env.robot_pose[:2])
    
            if render and (step % render_every == 0):
                diag = controller.diagnostics()
                hdr = (f"[{controller.name}] step {step:03d}  "
                       f"d_goal={env.goal_distance():5.2f}  "
                       f"SSE={sse:.3f}  PA={1 - min(sse / cfg.sse_scale, 1):.3f}  "
                       f"RMI={rmi:6.2f}  "
                       f"U={diag.get('U', 0):.3f}  K={diag.get('K', 0):.3f}")
                print("\033[H\033[J" + renderer.render(controller, goal, hdr))
                time.sleep(0.02)
    
            # -- termination ----------------------------------------------
            if env.goal_distance() < 0.35:
                success = True
                rec.time_to_goal = (step + 1) * cfg.dt
                break
    
        if not success:
            rec.time_to_goal = float("nan")
    
        metrics = rec.finalize(env, success)
    
        if verbose:
            print(f"  trial seed={seed} {controller.name}: "
                  f"success={success} steps={metrics.steps} "
                  f"SSE={metrics.mean_sse:.3f} PA={metrics.mean_pa:.3f} "
                  f"AIS={metrics.ais:.2f}")
    
        return metrics
    
    
    def run_experiment(cfg: MILKConfig,
                       n_trials: int = 3,
                       max_steps: int = 400,
                       verbose: bool = True) -> Dict[str, List[TrialMetrics]]:
        """Run Trial 1 (reactive) and Trial 2 (MILK) over matched seeds."""
    
        results: Dict[str, List[TrialMetrics]] = {"REACTIVE": [], "SARAH/MILK": []}
    
        print("=" * 108)
        print("MILK PROTOCOL v1.0 -- EXPERIMENTAL VALIDATION")
        print("=" * 108)
    
        for seed in range(n_trials):
            env_seed = cfg.seed + seed
            print(f"\n-- Trial pair {seed + 1}/{n_trials} (env seed {env_seed}) --")
    
            m1 = run_trial("REACTIVE", cfg, env_seed, max_steps, verbose=verbose)
            m2 = run_trial("MILK", cfg, env_seed, max_steps, verbose=verbose)
    
            results["REACTIVE"].append(m1)
            results["SARAH/MILK"].append(m2)
    
        print("\n" + "=" * 108)
        print("RESULTS")
        print("=" * 108)
        print(f"{'CTRL':<10} | {'OK':<5} | {'COLLISIONS':^10} | {'T[s]':^7} | "
              f"{'PATH[m]':^11} | {'E':^6} | {'SSE':^8} | {'PA':^7} | "
              f"{'RMI':^8} | {'RME':^6} | {'AIS':^6}")
        print("-" * 108)
        for group in results.values():
            for m in group:
                print(m.as_row())
        print("-" * 108)
    
        print("\nSUMMARY (mean over trials)")
        print("-" * 108)
        for name, group in results.items():
            print(f"{name:<12} | "
                  f"success={np.mean([m.success for m in group]):.2f} | "
                  f"collisions={np.mean([m.collisions for m in group]):5.2f} | "
                  f"SSE={np.mean([m.mean_sse for m in group]):.3f} | "
                  f"PA={np.mean([m.mean_pa for m in group]):.3f} | "
                  f"RME={np.mean([m.rme for m in group]):.3f} | "
                  f"AIS={np.mean([m.ais for m in group]):.2f}")
    
        # -- hypothesis test ------------------------------------------------
        r_sse = np.mean([m.mean_sse for m in results["REACTIVE"]])
        m_sse = np.mean([m.mean_sse for m in results["SARAH/MILK"]])
        r_col = np.mean([m.collisions for m in results["REACTIVE"]])
        m_col = np.mean([m.collisions for m in results["SARAH/MILK"]])
    
        print("\nHYPOTHESIS: MILK produces lower state-transition error than a")
        print("            conventional reactive controller.")
        print(f"  mean SSE  reactive = {r_sse:.4f}   MILK = {m_sse:.4f}   "
              f"-> {'SUPPORTED' if m_sse < r_sse else 'NOT SUPPORTED'}")
        print(f"  mean collisions  reactive = {r_col:.2f}   MILK = {m_col:.2f}   "
              f"-> {'SUPPORTED' if m_col <= r_col else 'NOT SUPPORTED'}")
        print("=" * 108)
    
        return results
    
    
    # =====================================================================
    # 14.  Self-test
    # =====================================================================
    
    def selftest() -> bool:
        """Sanity checks on the core MILK mathematics and components."""
        ok = True
    
        def check(name: str, cond: bool, detail: str = "") -> None:
            nonlocal ok
            status = "PASS" if cond else "FAIL"
            print(f"[{status}] {name} {detail}")
            ok = ok and cond
    
        cfg = MILKConfig()
    
        # --- MILK dynamic equation ----------------------------------------
        X = milk_dynamic_equation(np.array([0.1, 0.1]), 0.5, 0.5, cfg.u_min)
        check("MILK eq. basic", np.allclose(X, [1.1, 1.1]), f"X={X}")
    
        X1 = milk_dynamic_equation(np.array([0.0]), 0.5, 0.1, cfg.u_min)
        X2 = milk_dynamic_equation(np.array([0.0]), 0.5, 0.9, cfg.u_min)
        check("MILK eq. uncertainty reduces influence", float(X1[0]) > float(X2[0]),
              f"{X1[0]:.2f} > {X2[0]:.2f}")
    
        Xf = milk_dynamic_equation(np.array([0.0]), 0.5, 0.0, cfg.u_min)
        check("MILK eq. finite at U=0", np.isfinite(Xf[0]), f"X={Xf[0]:.1f}")
    
        # --- RMI ------------------------------------------------------------
        a = state_vector([0, 0, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        b = state_vector([0, 0, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        c = state_vector([3, 4, 0], [0, 0], [1, 1], {0: np.array([2.0, 2.0])})
        check("RMI identical states == 0", abs(reality_modification_index(a, b)) < 1e-9)
        check("RMI grows with displacement", reality_modification_index(a, c) > 4.9)
    
        # --- differential drive --------------------------------------------
        pose = np.array([0.0, 0.0, 0.0])
        vel = np.array([0.0, 0.0])
        p1, v1 = integrate_diff_drive(pose, vel, np.array([1.0, 0.0]), cfg)
        check("diff-drive straight line", abs(p1[0] - 0.02) < 1e-9 and abs(p1[1]) < 1e-9,
              f"pose={p1}")
    
        # --- Kalman filter convergence -------------------------------------
        obj = TrackedObject(0, 0.0, 0.0)
        rng = np.random.default_rng(0)
        tx, ty = 1.0, 2.0
        vx, vy = 0.5, 0.2
        for k in range(60):
            obj.predict(0.1, 0.35)
            tx += vx * 0.1
            ty += vy * 0.1
            obj.update(np.array([tx, ty]) + rng.normal(0, 0.08, 2),
                       np.eye(2) * 0.08 ** 2)
        check("KF converges to true position",
              float(np.linalg.norm(obj.position - [tx, ty])) < 0.15,
              f"err={np.linalg.norm(obj.position - [tx,ty]):.4f}")
        check("KF estimates velocity",
              float(np.linalg.norm(obj.velocity - [vx, vy])) < 0.20,
              f"err={np.linalg.norm(obj.velocity - [vx,vy]):.4f}")
    
        # --- environment -----------------------------------------------------
        env = RoomEnvironment(cfg, seed=1)
        readings = env.raycast(env.robot_pose, np.linspace(0, 2 * math.pi, 16, endpoint=False))
        check("raycast within sensor range",
              bool(np.all(readings >= 0) and np.all(readings <= cfg.sensor_range + 1e-9)))
    
        # --- short smoke run --------------------------------------------------
        m = run_trial("MILK", cfg, seed=0, max_steps=60, verbose=False)
        check("MILK produces finite metrics",
              math.isfinite(m.mean_sse) and math.isfinite(m.ais))
    
        m2 = run_trial("REACTIVE", cfg, seed=0, max_steps=60, verbose=False)
        check("Reactive produces finite metrics",
              math.isfinite(m2.mean_sse) and math.isfinite(m2.ais))
    
        print("\nSELFTEST:", "ALL PASS" if ok else "FAILURES DETECTED")
        return ok
    
    
    # =====================================================================
    # 15.  Entry point
    # =====================================================================
    
    def main() -> int:
        parser = argparse.ArgumentParser(
            description="MILK Protocol v1.0 -- reference implementation")
        parser.add_argument("--trials", type=int, default=3,
                            help="number of trial pairs (default: 3)")
        parser.add_argument("--seed", type=int, default=0,
                            help="base random seed")
        parser.add_argument("--steps", type=int, default=400,
                            help="max steps per trial")
        parser.add_argument("--demo", action="store_true",
                            help="render a single MILK episode in the terminal")
        parser.add_argument("--render", action="store_true",
                            help="render during the experiment (slow)")
        parser.add_argument("--controller", type=str, default="MILK",
                            choices=["MILK", "REACTIVE"],
                            help="controller used with --demo")
        parser.add_argument("--json", type=str, default=None,
                            help="write results to a JSON file")
        parser.add_argument("--selftest", action="store_true",
                            help="run internal sanity checks and exit")
        parser.add_argument("--horizon", type=int, default=None,
                            help="override prediction horizon")
        args = parser.parse_args()
    
        cfg = MILKConfig(seed=args.seed)
        if args.horizon is not None:
            cfg.horizon = args.horizon
    
        if args.selftest:
            return 0 if selftest() else 1
    
        if args.demo:
            print(f"Rendering a single episode with the {args.controller} "
                  f"controller. Ctrl-C to stop.\n")
            run_trial(args.controller, cfg, seed=args.seed,
                      max_steps=args.steps, render=True, render_every=4)
            return 0
    
        results = run_experiment(cfg, n_trials=args.trials,
                                 max_steps=args.steps, verbose=True)
    
        if args.json:
            payload = {
                name: [asdict(m) for m in group]
                for name, group in results.items()
            }
            with open(args.json, "w") as fh:
                json.dump(payload, fh, indent=2)
            print(f"\nWrote {args.json}")
    
        return 0
    
    
    if __name__ == "__main__":
        sys.exit(main())


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  13. Gadget Review: Una Watch

    shkspr.mobi/blog/2026/10/gadge

    I've never been a huge fan of smart watches. My £16 smartwatch is basically fine, but the OS is closed source and there's no way to add new functionality. Previously I had the eInk Watchy which was a pain to use and really poorly designed. Even back in 2014 I was bemoaning the design compromises in the MyKronoz ZeWatch Smart Watch.

    So why did I pick up the Una Watch?

    Firstly, the Una Watch is designed in Scotland from girders, and it's always nice to support local businesses.

    Secondly, as a USB-C Maximalist I want gadgets which can plug in to the same cables as all my other toys. No magnetic pucks here!

    Thirdly, it is (almost) completely open source.

    Finally, it is repairable. You can easily unscrew it to replace the components. As my cheap smartwatch's dial has died after 12 months of use, that's a pretty compelling proposition!

    Let's put it through its paces!

    First Impressions

    I bought mine second hand (yay for sustainability) and it arrived with a flat battery. The first charge from 0-100% took a little over an hour. My USB-C power monitor showed it taking in about 5V and 0.17 amps.

    It happily charged from a PD plug, but didn't get any faster than about 0.84W. Basically, I can fully charge it on most public transport in London.

    The time seemed accurate, there were options to play about with, the vibrations for notifications were easy to feel. There is an option to make it beep with every button press - I turned that off sharpish!

    Disclaimer

    I am not a smartwatch power user. I'm not using this to minutely track all my exercise or calculate if my heart is going to explode. I don't need cm level precision of my GPS. I didn't sync this with Strava or anything else.

    Apps

    The official Android app (which, sadly, isn't Open Source) worked fine on GrapheneOS. It found the watch, updated its GPS almanac, and let me browse the app store & install apps. Obviously early days, but there are a variety of community developed apps to play with.

    Annoyingly the watch needs to be restarted after every app is installed - but that only take a handful of seconds.

    There are some strange error messages.

    That isn't the sort of message which should be shown to users.

    But, on the plus side, you can install Doom!

    The Screen

    Oddly for a modern smartwatch, the screen stays on all the time! But this isn't some power-hungry OLED, nor is it static eInk. Instead it is a memory in pixel display - black background with orange, blue, and white pixels. The backlight remains off most of the time and is easy enough to see in daylight. It is slightly reflective - but not too bad.

    Note the ?? on the notifications - more on that later.

    Annoyingly, there's no "raise wrist to light" option. You have to interact with the watch to get the screen on. The accelerometer should allow this functionality - so perhaps it just needs to be activated in the firmware? It is bright enough to see in the dark, but not so bright it will dazzle you or people nearby.

    There's no touchscreen - instead there are four buttons around the face. Up, down, select, back. I did find myself repeatedly jabbing at the screen to no avail.

    So, to light it, press the back button or hold one of the other buttons.

    The colour scheme is pleasant enough. I miss having a full colour display so I can see a photo of my wife whenever I glance at the screen. But the low power usage can't be argued with.

    Notifications

    I couldn't get notifications working at first. The app just refused to let me toggle them on. Eventually I found an app in the app-store which claimed to enable them. That didn't work either.

    Unpairing, repairing, and reinstalling the app made them spring to life.

    There's no notification history. Once you've clicked to read it, that's it. Gone forever. Considering this has 4GB storage, that's an odd decision.

    Some of the notifications were slightly corrupt - showing question marks in place of (I assume) esoteric Unicode.

    There's no way to customise the vibrate pattern - so everything "feels" the same on your wrist.

    At the moment, the Una Watch sends every notification to your phone. You can't tell it to ignore certain WhatsApp groups, or only allow text messages from your spouse. The only way to get fine-grained notifications is with a third-party app like…

    Gadgetbridge

    You're not tied to the official app. Gadgetbridge support is excellent. There are a few things missing (you can't install apps or set alarms) - but if you want to measure your heart rate, send notifications, etc you'll be fine.

    Linux Compatibility

    The Una Watch plugs in to USB-C and shows up as 3.5GB of exFAT formatted storage.

    You can manually edit the JSON files if you like. I think you can copy off your workout data. Or you can just use it as portable storage.

    Under lsusb it describes itself as 0483:52a4 STMicroelectronics UNA Watch

    Battery Life

    After a full day of use the battery was at around 95% - that was with a bit of GPS, several notifications, heart rate monitoring, step counting, and a bunch of fiddling. With more GPS use, that's going to be heavier on the battery.

    But the joy of USB-C is that I can thwack in the same cable as I use for all my other gadgets. I can even plug it into my phone and leach a bit of power from there.

    Development

    The watch comes will a full Open Source SDK including lots of assets. There are several tutorials and a friendly community board.

    Of course, everything has to be done in C++ - an accurs'd language which I learned in the last century and wish I'd forgotten.

    Annoyingly, the TouchGFX GUI designer only works in Windows.

    I'm going to try to build my own watch faces and a few niche apps.

    Downsides

    There are a few things this watch doesn't do - some of these may be deal-breakers for you, but weren't for me.

    • No payments. There's no tap-to-pay, NFC, or anything like that.
    • No microphone. You cannot speak into your Una Watch or take calls on it.
    • No speaker. There's a little buzzer which can make squeaks and squawks - but you won't be playing your music through it.
    • While the apps and SDK are fully open, the firmware isn't (yet).
    • Can't reply to notifications.
    • No maps or directions (yet).
    • Step counter only shows the full day - no hour-by-hour view.

    Some of these things can and will be fixed in software. Others are limitations of the hardware.

    Final Thoughts

    The Una Watch has dropped in price to £180. I grabbed mine 2nd hand from eBay for £120. At either price, it's decent value if you're happy to play with alpha / beta quality technology.

    If you're a serious athlete, you'll probably want a more expensive and polished experience. If you are tied into the Apple or Google ecosystems, you'll probably want one of their watches.

    If you like tinkering, want to experiment with new technology, or simply want to support a British company trying to build something open - then this is the watch for you. Yes, there are some rough edges, but I fundamentally believe that technology should be Open Source, repairable, and give control to its users.

    #gadget #review #UnaWatch #watch
  14. Gadget Review: Una Watch

    shkspr.mobi/blog/2026/10/gadge

    I've never been a huge fan of smart watches. My £16 smartwatch is basically fine, but the OS is closed source and there's no way to add new functionality. Previously I had the eInk Watchy which was a pain to use and really poorly designed. Even back in 2014 I was bemoaning the design compromises in the MyKronoz ZeWatch Smart Watch.

    So why did I pick up the Una Watch?

    Firstly, the Una Watch is designed in Scotland from girders, and it's always nice to support local businesses.

    Secondly, as a USB-C Maximalist I want gadgets which can plug in to the same cables as all my other toys. No magnetic pucks here!

    Thirdly, it is (almost) completely open source.

    Finally, it is repairable. You can easily unscrew it to replace the components. As my cheap smartwatch's dial has died after 12 months of use, that's a pretty compelling proposition!

    Let's put it through its paces!

    First Impressions

    I bought mine second hand (yay for sustainability) and it arrived with a flat battery. The first charge from 0-100% took a little over an hour. My USB-C power monitor showed it taking in about 5V and 0.17 amps.

    It happily charged from a PD plug, but didn't get any faster than about 0.84W. Basically, I can fully charge it on most public transport in London.

    The time seemed accurate, there were options to play about with, the vibrations for notifications were easy to feel. There is an option to make it beep with every button press - I turned that off sharpish!

    Disclaimer

    I am not a smartwatch power user. I'm not using this to minutely track all my exercise or calculate if my heart is going to explode. I don't need cm level precision of my GPS. I didn't sync this with Strava or anything else.

    Apps

    The official Android app (which, sadly, isn't Open Source) worked fine on GrapheneOS. It found the watch, updated its GPS almanac, and let me browse the app store & install apps. Obviously early days, but there are a variety of community developed apps to play with.

    Annoyingly the watch needs to be restarted after every app is installed - but that only take a handful of seconds.

    There are some strange error messages.

    That isn't the sort of message which should be shown to users.

    But, on the plus side, you can install Doom!

    The Screen

    Oddly for a modern smartwatch, the screen stays on all the time! But this isn't some power-hungry OLED, nor is it static eInk. Instead it is a memory in pixel display - black background with orange, blue, and white pixels. The backlight remains off most of the time and is easy enough to see in daylight. It is slightly reflective - but not too bad.

    Note the ?? on the notifications - more on that later.

    Annoyingly, there's no "raise wrist to light" option. You have to interact with the watch to get the screen on. The accelerometer should allow this functionality - so perhaps it just needs to be activated in the firmware? It is bright enough to see in the dark, but not so bright it will dazzle you or people nearby.

    There's no touchscreen - instead there are four buttons around the face. Up, down, select, back. I did find myself repeatedly jabbing at the screen to no avail.

    So, to light it, press the back button or hold one of the other buttons.

    The colour scheme is pleasant enough. I miss having a full colour display so I can see a photo of my wife whenever I glance at the screen. But the low power usage can't be argued with.

    Notifications

    I couldn't get notifications working at first. The app just refused to let me toggle them on. Eventually I found an app in the app-store which claimed to enable them. That didn't work either.

    Unpairing, repairing, and reinstalling the app made them spring to life.

    There's no notification history. Once you've clicked to read it, that's it. Gone forever. Considering this has 4GB storage, that's an odd decision.

    Some of the notifications were slightly corrupt - showing question marks in place of (I assume) esoteric Unicode.

    There's no way to customise the vibrate pattern - so everything "feels" the same on your wrist.

    At the moment, the Una Watch sends every notification to your phone. You can't tell it to ignore certain WhatsApp groups, or only allow text messages from your spouse. The only way to get fine-grained notifications is with a third-party app like…

    Gadgetbridge

    You're not tied to the official app. Gadgetbridge support is excellent. There are a few things missing (you can't install apps or set alarms) - but if you want to measure your heart rate, send notifications, etc you'll be fine.

    Linux Compatibility

    The Una Watch plugs in to USB-C and shows up as 3.5GB of exFAT formatted storage.

    You can manually edit the JSON files if you like. I think you can copy off your workout data. Or you can just use it as portable storage.

    Under lsusb it describes itself as 0483:52a4 STMicroelectronics UNA Watch

    Battery Life

    After a full day of use the battery was at around 95% - that was with a bit of GPS, several notifications, heart rate monitoring, step counting, and a bunch of fiddling. With more GPS use, that's going to be heavier on the battery.

    But the joy of USB-C is that I can thwack in the same cable as I use for all my other gadgets. I can even plug it into my phone and leach a bit of power from there.

    Development

    The watch comes will a full Open Source SDK including lots of assets. There are several tutorials and a friendly community board.

    Of course, everything has to be done in C++ - an accurs'd language which I learned in the last century and wish I'd forgotten.

    Annoyingly, the TouchGFX GUI designer only works in Windows.

    I'm going to try to build my own watch faces and a few niche apps.

    Downsides

    There are a few things this watch doesn't do - some of these may be deal-breakers for you, but weren't for me.

    • No payments. There's no tap-to-pay, NFC, or anything like that.
    • No microphone. You cannot speak into your Una Watch or take calls on it.
    • No speaker. There's a little buzzer which can make squeaks and squawks - but you won't be playing your music through it.
    • While the apps and SDK are fully open, the firmware isn't (yet).
    • Can't reply to notifications.
    • No maps or directions (yet).
    • Step counter only shows the full day - no hour-by-hour view.

    Some of these things can and will be fixed in software. Others are limitations of the hardware.

    Final Thoughts

    The Una Watch has dropped in price to £180. I grabbed mine 2nd hand from eBay for £120. At either price, it's decent value if you're happy to play with alpha / beta quality technology.

    If you're a serious athlete, you'll probably want a more expensive and polished experience. If you are tied into the Apple or Google ecosystems, you'll probably want one of their watches.

    If you like tinkering, want to experiment with new technology, or simply want to support a British company trying to build something open - then this is the watch for you. Yes, there are some rough edges, but I fundamentally believe that technology should be Open Source, repairable, and give control to its users.

    #gadget #review #UnaWatch #watch
  15. Gadget Review: Una Watch

    shkspr.mobi/blog/2026/10/gadge

    I've never been a huge fan of smart watches. My £16 smartwatch is basically fine, but the OS is closed source and there's no way to add new functionality. Previously I had the eInk Watchy which was a pain to use and really poorly designed. Even back in 2014 I was bemoaning the design compromises in the MyKronoz ZeWatch Smart Watch.

    So why did I pick up the Una Watch?

    Firstly, the Una Watch is designed in Scotland from girders, and it's always nice to support local businesses.

    Secondly, as a USB-C Maximalist I want gadgets which can plug in to the same cables as all my other toys. No magnetic pucks here!

    Thirdly, it is (almost) completely open source.

    Finally, it is repairable. You can easily unscrew it to replace the components. As my cheap smartwatch's dial has died after 12 months of use, that's a pretty compelling proposition!

    Let's put it through its paces!

    First Impressions

    I bought mine second hand (yay for sustainability) and it arrived with a flat battery. The first charge from 0-100% took a little over an hour. My USB-C power monitor showed it taking in about 5V and 0.17 amps.

    It happily charged from a PD plug, but didn't get any faster than about 0.84W. Basically, I can fully charge it on most public transport in London.

    The time seemed accurate, there were options to play about with, the vibrations for notifications were easy to feel. There is an option to make it beep with every button press - I turned that off sharpish!

    Disclaimer

    I am not a smartwatch power user. I'm not using this to minutely track all my exercise or calculate if my heart is going to explode. I don't need cm level precision of my GPS. I didn't sync this with Strava or anything else.

    Apps

    The official Android app (which, sadly, isn't Open Source) worked fine on GrapheneOS. It found the watch, updated its GPS almanac, and let me browse the app store & install apps. Obviously early days, but there are a variety of community developed apps to play with.

    Annoyingly the watch needs to be restarted after every app is installed - but that only take a handful of seconds.

    There are some strange error messages.

    That isn't the sort of message which should be shown to users.

    But, on the plus side, you can install Doom!

    The Screen

    Oddly for a modern smartwatch, the screen stays on all the time! But this isn't some power-hungry OLED, nor is it static eInk. Instead it is a memory in pixel display - black background with orange, blue, and white pixels. The backlight remains off most of the time and is easy enough to see in daylight. It is slightly reflective - but not too bad.

    Note the ?? on the notifications - more on that later.

    Annoyingly, there's no "raise wrist to light" option. You have to interact with the watch to get the screen on. The accelerometer should allow this functionality - so perhaps it just needs to be activated in the firmware? It is bright enough to see in the dark, but not so bright it will dazzle you or people nearby.

    There's no touchscreen - instead there are four buttons around the face. Up, down, select, back. I did find myself repeatedly jabbing at the screen to no avail.

    So, to light it, press the back button or hold one of the other buttons.

    The colour scheme is pleasant enough. I miss having a full colour display so I can see a photo of my wife whenever I glance at the screen. But the low power usage can't be argued with.

    Notifications

    I couldn't get notifications working at first. The app just refused to let me toggle them on. Eventually I found an app in the app-store which claimed to enable them. That didn't work either.

    Unpairing, repairing, and reinstalling the app made them spring to life.

    There's no notification history. Once you've clicked to read it, that's it. Gone forever. Considering this has 4GB storage, that's an odd decision.

    Some of the notifications were slightly corrupt - showing question marks in place of (I assume) esoteric Unicode.

    There's no way to customise the vibrate pattern - so everything "feels" the same on your wrist.

    At the moment, the Una Watch sends every notification to your phone. You can't tell it to ignore certain WhatsApp groups, or only allow text messages from your spouse. The only way to get fine-grained notifications is with a third-party app like…

    Gadgetbridge

    You're not tied to the official app. Gadgetbridge support is excellent. There are a few things missing (you can't install apps or set alarms) - but if you want to measure your heart rate, send notifications, etc you'll be fine.

    Linux Compatibility

    The Una Watch plugs in to USB-C and shows up as 3.5GB of exFAT formatted storage.

    You can manually edit the JSON files if you like. I think you can copy off your workout data. Or you can just use it as portable storage.

    Under lsusb it describes itself as 0483:52a4 STMicroelectronics UNA Watch

    Battery Life

    After a full day of use the battery was at around 95% - that was with a bit of GPS, several notifications, heart rate monitoring, step counting, and a bunch of fiddling. With more GPS use, that's going to be heavier on the battery.

    But the joy of USB-C is that I can thwack in the same cable as I use for all my other gadgets. I can even plug it into my phone and leach a bit of power from there.

    Development

    The watch comes will a full Open Source SDK including lots of assets. There are several tutorials and a friendly community board.

    Of course, everything has to be done in C++ - an accurs'd language which I learned in the last century and wish I'd forgotten.

    Annoyingly, the TouchGFX GUI designer only works in Windows.

    I'm going to try to build my own watch faces and a few niche apps.

    Downsides

    There are a few things this watch doesn't do - some of these may be deal-breakers for you, but weren't for me.

    • No payments. There's no tap-to-pay, NFC, or anything like that.
    • No microphone. You cannot speak into your Una Watch or take calls on it.
    • No speaker. There's a little buzzer which can make squeaks and squawks - but you won't be playing your music through it.
    • While the apps and SDK are fully open, the firmware isn't (yet).
    • Can't reply to notifications.
    • No maps or directions (yet).
    • Step counter only shows the full day - no hour-by-hour view.

    Some of these things can and will be fixed in software. Others are limitations of the hardware.

    Final Thoughts

    The Una Watch has dropped in price to £180. I grabbed mine 2nd hand from eBay for £120. At either price, it's decent value if you're happy to play with alpha / beta quality technology.

    If you're a serious athlete, you'll probably want a more expensive and polished experience. If you are tied into the Apple or Google ecosystems, you'll probably want one of their watches.

    If you like tinkering, want to experiment with new technology, or simply want to support a British company trying to build something open - then this is the watch for you. Yes, there are some rough edges, but I fundamentally believe that technology should be Open Source, repairable, and give control to its users.

    #gadget #review #UnaWatch #watch
  16. Gadget Review: Una Watch

    shkspr.mobi/blog/2026/10/gadge

    I've never been a huge fan of smart watches. My £16 smartwatch is basically fine, but the OS is closed source and there's no way to add new functionality. Previously I had the eInk Watchy which was a pain to use and really poorly designed. Even back in 2014 I was bemoaning the design compromises in the MyKronoz ZeWatch Smart Watch.

    So why did I pick up the Una Watch?

    Firstly, the Una Watch is designed in Scotland from girders, and it's always nice to support local businesses.

    Secondly, as a USB-C Maximalist I want gadgets which can plug in to the same cables as all my other toys. No magnetic pucks here!

    Thirdly, it is (almost) completely open source.

    Finally, it is repairable. You can easily unscrew it to replace the components. As my cheap smartwatch's dial has died after 12 months of use, that's a pretty compelling proposition!

    Let's put it through its paces!

    First Impressions

    I bought mine second hand (yay for sustainability) and it arrived with a flat battery. The first charge from 0-100% took a little over an hour. My USB-C power monitor showed it taking in about 5V and 0.17 amps.

    It happily charged from a PD plug, but didn't get any faster than about 0.84W. Basically, I can fully charge it on most public transport in London.

    The time seemed accurate, there were options to play about with, the vibrations for notifications were easy to feel. There is an option to make it beep with every button press - I turned that off sharpish!

    Disclaimer

    I am not a smartwatch power user. I'm not using this to minutely track all my exercise or calculate if my heart is going to explode. I don't need cm level precision of my GPS. I didn't sync this with Strava or anything else.

    Apps

    The official Android app (which, sadly, isn't Open Source) worked fine on GrapheneOS. It found the watch, updated its GPS almanac, and let me browse the app store & install apps. Obviously early days, but there are a variety of community developed apps to play with.

    Annoyingly the watch needs to be restarted after every app is installed - but that only take a handful of seconds.

    There are some strange error messages.

    That isn't the sort of message which should be shown to users.

    But, on the plus side, you can install Doom!

    The Screen

    Oddly for a modern smartwatch, the screen stays on all the time! But this isn't some power-hungry OLED, nor is it static eInk. Instead it is a memory in pixel display - black background with orange, blue, and white pixels. The backlight remains off most of the time and is easy enough to see in daylight. It is slightly reflective - but not too bad.

    Note the ?? on the notifications - more on that later.

    Annoyingly, there's no "raise wrist to light" option. You have to interact with the watch to get the screen on. The accelerometer should allow this functionality - so perhaps it just needs to be activated in the firmware? It is bright enough to see in the dark, but not so bright it will dazzle you or people nearby.

    There's no touchscreen - instead there are four buttons around the face. Up, down, select, back. I did find myself repeatedly jabbing at the screen to no avail.

    So, to light it, press the back button or hold one of the other buttons.

    The colour scheme is pleasant enough. I miss having a full colour display so I can see a photo of my wife whenever I glance at the screen. But the low power usage can't be argued with.

    Notifications

    I couldn't get notifications working at first. The app just refused to let me toggle them on. Eventually I found an app in the app-store which claimed to enable them. That didn't work either.

    Unpairing, repairing, and reinstalling the app made them spring to life.

    There's no notification history. Once you've clicked to read it, that's it. Gone forever. Considering this has 4GB storage, that's an odd decision.

    Some of the notifications were slightly corrupt - showing question marks in place of (I assume) esoteric Unicode.

    There's no way to customise the vibrate pattern - so everything "feels" the same on your wrist.

    At the moment, the Una Watch sends every notification to your phone. You can't tell it to ignore certain WhatsApp groups, or only allow text messages from your spouse. The only way to get fine-grained notifications is with a third-party app like…

    Gadgetbridge

    You're not tied to the official app. Gadgetbridge support is excellent. There are a few things missing (you can't install apps or set alarms) - but if you want to measure your heart rate, send notifications, etc you'll be fine.

    Linux Compatibility

    The Una Watch plugs in to USB-C and shows up as 3.5GB of exFAT formatted storage.

    You can manually edit the JSON files if you like. I think you can copy off your workout data. Or you can just use it as portable storage.

    Under lsusb it describes itself as 0483:52a4 STMicroelectronics UNA Watch

    Battery Life

    After a full day of use the battery was at around 95% - that was with a bit of GPS, several notifications, heart rate monitoring, step counting, and a bunch of fiddling. With more GPS use, that's going to be heavier on the battery.

    But the joy of USB-C is that I can thwack in the same cable as I use for all my other gadgets. I can even plug it into my phone and leach a bit of power from there.

    Development

    The watch comes will a full Open Source SDK including lots of assets. There are several tutorials and a friendly community board.

    Of course, everything has to be done in C++ - an accurs'd language which I learned in the last century and wish I'd forgotten.

    Annoyingly, the TouchGFX GUI designer only works in Windows.

    I'm going to try to build my own watch faces and a few niche apps.

    Downsides

    There are a few things this watch doesn't do - some of these may be deal-breakers for you, but weren't for me.

    • No payments. There's no tap-to-pay, NFC, or anything like that.
    • No microphone. You cannot speak into your Una Watch or take calls on it.
    • No speaker. There's a little buzzer which can make squeaks and squawks - but you won't be playing your music through it.
    • While the apps and SDK are fully open, the firmware isn't (yet).
    • Can't reply to notifications.
    • No maps or directions (yet).
    • Step counter only shows the full day - no hour-by-hour view.

    Some of these things can and will be fixed in software. Others are limitations of the hardware.

    Final Thoughts

    The Una Watch has dropped in price to £180. I grabbed mine 2nd hand from eBay for £120. At either price, it's decent value if you're happy to play with alpha / beta quality technology.

    If you're a serious athlete, you'll probably want a more expensive and polished experience. If you are tied into the Apple or Google ecosystems, you'll probably want one of their watches.

    If you like tinkering, want to experiment with new technology, or simply want to support a British company trying to build something open - then this is the watch for you. Yes, there are some rough edges, but I fundamentally believe that technology should be Open Source, repairable, and give control to its users.

    #gadget #review #UnaWatch #watch
  17. In July 2026 Python core developers and special guests sat down at the #Python Language Summit at #EuroPython 2026, to discuss the future of the Python programming language including free-threading, #Rust, garbage collection, and namespaces. Find a summary on the PSF blog ⬇️
    pyfound.blogspot.com/2026/09/p

  18. In July 2026 Python core developers and special guests sat down at the #Python Language Summit at #EuroPython 2026, to discuss the future of the Python programming language including free-threading, #Rust, garbage collection, and namespaces. Find a summary on the PSF blog ⬇️
    pyfound.blogspot.com/2026/09/p

  19. In July 2026 Python core developers and special guests sat down at the Language Summit at 2026, to discuss the future of the Python programming language including free-threading, , garbage collection, and namespaces. Find a summary on the PSF blog ⬇️
    pyfound.blogspot.com/2026/09/p

  20. In July 2026 Python core developers and special guests sat down at the #Python Language Summit at #EuroPython 2026, to discuss the future of the Python programming language including free-threading, #Rust, garbage collection, and namespaces. Find a summary on the PSF blog ⬇️
    pyfound.blogspot.com/2026/09/p

  21. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Italy at gdprhub.eu/index.php?title=Gar
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #GDPR

  22. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Italy at gdprhub.eu/index.php?title=Gar
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #GDPR

  23. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Italy at gdprhub.eu/index.php?title=Gar
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #GDPR

  24. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Italy at gdprhub.eu/index.php?title=Gar
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #GDPR

  25. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Finland at gdprhub.eu/index.php?title=Tie
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #Tietosuojalaki

  26. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Finland at gdprhub.eu/index.php?title=Tie
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  27. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Finland at gdprhub.eu/index.php?title=Tie
    Thousands of experts also signed up to our free newsletter already: newsletter.noyb.eu/pf/433/5gqtL
    #Tietosuojalaki

  28. Find daily new #GDPR decisions from across Europe for free on GDPRhub.eu!
    ➡️ Read and edit this decision from Finland at gdprhub.eu/index.php?title=Tie
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  29. Scientists find an “earthquake gate” as California fault stress hits a 1,000-year high byteseu.com/2416216/ #Earthquakes;NaturalDisasters;Weather;GlobalWarming;SevereWeather;Geology;Climate;Floods #Science

  30. Physicists Find a Superconductor That ‘Breaks’ The Symmetry of Time – A First For Its Kind : ScienceAlert

    Under certain conditions – such as bone-brittling temperatures lower than that of deep space – superconductors can conduct…
    #NewsBeep #News #Physics #AU #Australia #MSFTContent #Science
    newsbeep.com/au/912997/