#spinors — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #spinors, aggregated by home.social.
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Reworked the 24-cell sketch, much easier to understand now.
Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).
I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice
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Reworked the 24-cell sketch, much easier to understand now.
Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).
I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice
-
Reworked the 24-cell sketch, much easier to understand now.
Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).
I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice
-
Reworked the 24-cell sketch, much easier to understand now.
Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).
I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice
-
Reworked the 24-cell sketch, much easier to understand now.
Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).
I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice
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This article by Simon Altman on #quaternions and rotations may be the most lucid i've seen on the topic: https://worrydream.com/refs/Altmann_1989_-_Hamilton,_Rodrigues,_and_the_Quaternion_Scandal.pdf
My beloved #spinors are also mentioned. It is rarely explicitly stressed that the quaternionic imaginaries are 180° rotations, not 90° rotations. The same *can* be said of the complex numbers too of course, but commutativity makes things special there.
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This article by Simon Altman on #quaternions and rotations may be the most lucid i've seen on the topic: https://worrydream.com/refs/Altmann_1989_-_Hamilton,_Rodrigues,_and_the_Quaternion_Scandal.pdf
My beloved #spinors are also mentioned. It is rarely explicitly stressed that the quaternionic imaginaries are 180° rotations, not 90° rotations. The same *can* be said of the complex numbers too of course, but commutativity makes things special there.
-
This article by Simon Altman on #quaternions and rotations may be the most lucid i've seen on the topic: https://worrydream.com/refs/Altmann_1989_-_Hamilton,_Rodrigues,_and_the_Quaternion_Scandal.pdf
My beloved #spinors are also mentioned. It is rarely explicitly stressed that the quaternionic imaginaries are 180° rotations, not 90° rotations. The same *can* be said of the complex numbers too of course, but commutativity makes things special there.
-
This article by Simon Altman on #quaternions and rotations may be the most lucid i've seen on the topic: https://worrydream.com/refs/Altmann_1989_-_Hamilton,_Rodrigues,_and_the_Quaternion_Scandal.pdf
My beloved #spinors are also mentioned. It is rarely explicitly stressed that the quaternionic imaginaries are 180° rotations, not 90° rotations. The same *can* be said of the complex numbers too of course, but commutativity makes things special there.
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> ...the university's primary task, the fundamental work upon which all the other services depend. That primary task, that fundamental work, is Scholarship. In the laboratory this is called pure science; in the study and the classroom, it is research and teaching. For teaching no less than research demands original thought, and addressing students is equally a form of publication. Whatever the form or the medium, the university's power to serve the public presupposes the continuity of scholarship; and this in turn implies its encouragement. By its policy, a university may favor or hinder the birth of new truth. This is the whole meaning of the age-old struggle for academic freedom, not to mention the age-old myth of academic retreat from the noisy world.
(Jacques Barzun, General Editor's Preface to "The Algebraic Theory of Spinors" by C. Chevalley, 1954)
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> ...the university's primary task, the fundamental work upon which all the other services depend. That primary task, that fundamental work, is Scholarship. In the laboratory this is called pure science; in the study and the classroom, it is research and teaching. For teaching no less than research demands original thought, and addressing students is equally a form of publication. Whatever the form or the medium, the university's power to serve the public presupposes the continuity of scholarship; and this in turn implies its encouragement. By its policy, a university may favor or hinder the birth of new truth. This is the whole meaning of the age-old struggle for academic freedom, not to mention the age-old myth of academic retreat from the noisy world.
(Jacques Barzun, General Editor's Preface to "The Algebraic Theory of Spinors" by C. Chevalley, 1954)
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An early attempt at interactive #spinors: https://editor.p5js.org/aap/sketches/_wbCWy4ae #p5js
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An early attempt at interactive #spinors: https://editor.p5js.org/aap/sketches/_wbCWy4ae #p5js
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An early attempt at interactive #spinors: https://editor.p5js.org/aap/sketches/_wbCWy4ae #p5js
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An early attempt at interactive #spinors: https://editor.p5js.org/aap/sketches/_wbCWy4ae #p5js
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@aap
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"
http://www.weylmann.com/spinor.pdf
Ignoring the energy we radiate. ("That's me TOO", I cry!) -
@aap
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"
http://www.weylmann.com/spinor.pdf
Ignoring the energy we radiate. ("That's me TOO", I cry!) -
@aap
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"
http://www.weylmann.com/spinor.pdf
Ignoring the energy we radiate. ("That's me TOO", I cry!) -
@aap
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"
http://www.weylmann.com/spinor.pdf
Ignoring the energy we radiate. ("That's me TOO", I cry!) -
@aap
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"
http://www.weylmann.com/spinor.pdf
Ignoring the energy we radiate. ("That's me TOO", I cry!) -
@aap Hey, anybody. @aap is cool--they're into:
Geometry, Computers, history, obsessed with spinors
#Geometry #Computers #History
#Spinors #SpinorObsession -
@aap Hey, anybody. @aap is cool--they're into:
Geometry, Computers, history, obsessed with spinors
#Geometry #Computers #History
#Spinors #SpinorObsession -
@aap Hey, anybody. @aap is cool--they're into:
Geometry, Computers, history, obsessed with spinors
#Geometry #Computers #History
#Spinors #SpinorObsession -
@aap Hey, anybody. @aap is cool--they're into:
Geometry, Computers, history, obsessed with spinors
#Geometry #Computers #History
#Spinors #SpinorObsession -
@aap Hey, anybody. @aap is cool--they're into:
Geometry, Computers, history, obsessed with spinors
#Geometry #Computers #History
#Spinors #SpinorObsession -
@aap I like to do this.
1. Find a post you like.
2. Click on the poster's picture.
3. Click the poster's Followers and Followings
4. Click on the # words in the reply from Logan 666 @LoganFive
5. Use hashtags in your posts -
@aap I like to do this.
1. Find a post you like.
2. Click on the poster's picture.
3. Click the poster's Followers and Followings
4. Click on the # words in the reply from Logan 666 @LoganFive
5. Use hashtags in your posts -
@aap I like to do this.
1. Find a post you like.
2. Click on the poster's picture.
3. Click the poster's Followers and Followings
4. Click on the # words in the reply from Logan 666 @LoganFive
5. Use hashtags in your posts -
@aap I like to do this.
1. Find a post you like.
2. Click on the poster's picture.
3. Click the poster's Followers and Followings
4. Click on the # words in the reply from Logan 666 @LoganFive
5. Use hashtags in your posts -
@aap I like to do this.
1. Find a post you like.
2. Click on the poster's picture.
3. Click the poster's Followers and Followings
4. Click on the # words in the reply from Logan 666 @LoganFive
5. Use hashtags in your posts -
@aap I think it depends on who you would like to meet. Following hashtags are a great way to find people with similar interests.
#Geometry
#Computers
#History
#Spinors
#thermodynamics
#Maxwell
#MathIf you click on each of those you can then choose to follow them and you’ll get people using those hashtags in your feed. Then just comment on their posts, boost them, and I’m sure things will take off.
And there are lots of other helpful tips in your comments as well. ✌️ 🫶
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@aap I think it depends on who you would like to meet. Following hashtags are a great way to find people with similar interests.
#Geometry
#Computers
#History
#Spinors
#thermodynamics
#Maxwell
#MathIf you click on each of those you can then choose to follow them and you’ll get people using those hashtags in your feed. Then just comment on their posts, boost them, and I’m sure things will take off.
And there are lots of other helpful tips in your comments as well. ✌️ 🫶
-
@aap I think it depends on who you would like to meet. Following hashtags are a great way to find people with similar interests.
#Geometry
#Computers
#History
#Spinors
#thermodynamics
#Maxwell
#MathIf you click on each of those you can then choose to follow them and you’ll get people using those hashtags in your feed. Then just comment on their posts, boost them, and I’m sure things will take off.
And there are lots of other helpful tips in your comments as well. ✌️ 🫶
-
@aap I think it depends on who you would like to meet. Following hashtags are a great way to find people with similar interests.
#Geometry
#Computers
#History
#Spinors
#thermodynamics
#Maxwell
#MathIf you click on each of those you can then choose to follow them and you’ll get people using those hashtags in your feed. Then just comment on their posts, boost them, and I’m sure things will take off.
And there are lots of other helpful tips in your comments as well. ✌️ 🫶
-
@aap I think it depends on who you would like to meet. Following hashtags are a great way to find people with similar interests.
#Geometry
#Computers
#History
#Spinors
#thermodynamics
#Maxwell
#MathIf you click on each of those you can then choose to follow them and you’ll get people using those hashtags in your feed. Then just comment on their posts, boost them, and I’m sure things will take off.
And there are lots of other helpful tips in your comments as well. ✌️ 🫶
-
"Transdimensional Pendulum"
Another math-meditation...
A new custom operator in Tooll3 I'm currently working on allows to create very beautiful iterative animations.
This one is inspired by a video on #Spinors I watched recently... 😎
#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource #mastoart
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"Transdimensional Pendulum"
Another math-meditation...
A new custom operator in Tooll3 I'm currently working on allows to create very beautiful iterative animations.
This one is inspired by a video on #Spinors I watched recently... 😎
#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource #mastoart
-
"Transdimensional Pendulum"
Another math-meditation...
A new custom operator in Tooll3 I'm currently working on allows to create very beautiful iterative animations.
This one is inspired by a video on #Spinors I watched recently... 😎
#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource #mastoart
-
"Transdimensional Pendulum"
Another math-meditation...
A new custom operator in Tooll3 I'm currently working on allows to create very beautiful iterative animations.
This one is inspired by a video on #Spinors I watched recently... 😎
#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource #mastoart
-
"Transdimensional Pendulum"
Another math-meditation...
A new custom operator in Tooll3 I'm currently working on allows to create very beautiful iterative animations.
This one is inspired by a video on #Spinors I watched recently... 😎
#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource
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#Spinors exist in the #ComplexNumber plane. I came across a new video about complex numbers, the #NaturalLogarithm and the #Exponential that helped me to intuit the action of Spinors through their embedding in the complex plane.
A Complex Exponential Equation | Problem 343
https://youtube.com/watch?v=L8DqynoKGUEContext: I recently watched some videos on #GeometricAlgebra and Spinors. I don't get understand Spinors well enough to utilize them in practice. See: https://youtu.be/Zk6YnJpbhOo and https://youtu.be/_mSx75r5S5Y.
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https://youtube.com/watch?v=b7OIbMCIfs4&si=fnHl5I6K5D1Waaho
If you've ever wanted to know why electrons behave in some odd ways, it's because they don't have "spin" like a basketball, they are spin*ors*.
This video doesn't feel long so I recommend watching it in one go. It has fun lines like "A wiggle is homotopic to an octopus" 🐙
But more importantly, it gave me a better understanding on SO(3) vs SU(2) rotations (in 3D or embedded in quaternions).
This leads to the Pauli Exclusion principle in chemistry
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https://youtube.com/watch?v=b7OIbMCIfs4&si=fnHl5I6K5D1Waaho
If you've ever wanted to know why electrons behave in some odd ways, it's because they don't have "spin" like a basketball, they are spin*ors*.
This video doesn't feel long so I recommend watching it in one go. It has fun lines like "A wiggle is homotopic to an octopus" 🐙
But more importantly, it gave me a better understanding on SO(3) vs SU(2) rotations (in 3D or embedded in quaternions).
This leads to the Pauli Exclusion principle in chemistry
-
https://youtube.com/watch?v=b7OIbMCIfs4&si=fnHl5I6K5D1Waaho
If you've ever wanted to know why electrons behave in some odd ways, it's because they don't have "spin" like a basketball, they are spin*ors*.
This video doesn't feel long so I recommend watching it in one go. It has fun lines like "A wiggle is homotopic to an octopus" 🐙
But more importantly, it gave me a better understanding on SO(3) vs SU(2) rotations (in 3D or embedded in quaternions).
This leads to the Pauli Exclusion principle in chemistry
-
https://youtube.com/watch?v=b7OIbMCIfs4&si=fnHl5I6K5D1Waaho
If you've ever wanted to know why electrons behave in some odd ways, it's because they don't have "spin" like a basketball, they are spin*ors*.
This video doesn't feel long so I recommend watching it in one go. It has fun lines like "A wiggle is homotopic to an octopus" 🐙
But more importantly, it gave me a better understanding on SO(3) vs SU(2) rotations (in 3D or embedded in quaternions).
This leads to the Pauli Exclusion principle in chemistry