#fieldtheory — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fieldtheory, aggregated by home.social.
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Groups, Fields, and Galois: Part 1 | UCLA Extension
Dr. Michael Miller, a retired researcher at RAND, has been teaching upper level undergraduate/graduate level math courses for fun at UCLA Extension for over 50 years. This fall he'll be introducing the areas of groups, fields, and Galois theory from abstract algebra to those interested in abstract math: Groups, Fields, and Galois: Part 1. His intention is to do a follow-on class on Galois theory in the Winter which will use this class as a foundation. If you're in the Los Angeles area his […]https://boffosocko.com/2026/08/13/groups-fields-and-galois-part-1-ucla-extension/
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#Physics #ComputationalPhysics #LightTransport #FieldTheory #AppliedMath
A real-time 3D engine built from 8 math atoms Zero dependencies, std-only Rust. GI, soft shadows, AO fall out of the SDF field free. Same scene → WGSL → 430fps GPU. Physics: the field IS the collision oracle. Built in a day.
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Noether’s Theorem: Symmetry→Conservation Law.
Symmetries of the action imply conserved quantities per Noether's theorem.
A path q(t) is shifted by δq = φ but smoothed in transition layers τ wide at t0 and t1, where Δq̇ ≈ φ/τ. Action changes there approximate ΔS ≈ (∂L/∂q̇) Δq̇ τ ≈ −(∂L/∂q̇ φ)(t1) and ≈ +(∂L/∂q̇ φ)(t0).
Symmetry sets total ΔS = 0, hence (∂L/∂q̇ φ) is conserved from t0 to t1.Momentum conservation's derivation from space translation symmetry and energy conservation from time translation symmetry in mechanics and physics is done by it.
#NoethersTheorem #Physics #TheoreticalPhysics #ClassicalMechanics #AnalyticalMechanics #LagrangianMechanics #Symmetry #ConservationLaws #ActionPrinciple #CalculusOfVariations #Mathematics #STEM #Science #PhysicsEducation #LearnPhysics #QuantumPhysics #FieldTheory #GeneralizedCoordinates #MomentumConservation #EnergyConservation #AngularMomentum #TheoreticalScience #PhysicsNotes #Infographic #ScienceCommunication #EducationalContent #EMNoether #MathPhysics #PhysicsStudents #STEMEducation
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#paperOfTheDay "Theres' plenty of room in the middle: The unsung revolution of the renormalization group" from 2023 is a meta-article to commemorate 50 years of the #renormalization group in memory of one of its pioneers, Michael E. Fisher.
First of all, this article is a masterly and dense historical overview, basically every single reference in it is a breakthrough article worth reading. This being said, the article builds upon "Fisher's least cited article". There, Fisher introduces the thesis, which is elaborated in the present article, that almost all interesting #physics happens in the "middle"; concretely in the realm of collective phenomena and effective #fieldTheory governed by the renormalization group.
The present article discusses various examples, each with a provocative title, for example the BCS theory of superconductivity (famously a pure quantum effect) under the slogan that quantum mechanics is really not needed for condensed matter physics. The reasoning is: Such effects are described by effective field theories and "minimal models" with certain "asymptotic" properties (this is discussed in detail), in concrete cases these models can be derived from quantum mechanics, but this derivation does not really add anything to the practical understanding. At the same time, one can often obtain them from thermodynamic considerations alone, regardless of any more fundamental theory.
The article ends with the standard model of elementary particle physics, with the same thesis: One can view this as "just some EFT", which is valid as a very accurate model to describe observations, regardless of whether it is "fundamental"
. https://arxiv.org/abs/2306.06020v1 -
¨The first reaction to this work is that it is wrong.
The second is that it is obvious.”
— Victor WeisskopfThe Aharonov-Bohm effect is a fascinating story.
https://youtu.be/XKSjCOKDtpk -
Today in the #dailyPaperChallenge I read (parts of) "critical \( \phi^4_{3,\epsilon} \)" from 2002. This paper deals with the #renormalization of a quartic interacting #fieldTheory in 3 dimensions, but with a non-standard (long-range) propagator \(1/p^{\frac 3 2} \). The methods they use are quite different from what I am accustomed to, but there are two points of contact with my work: Firstly, this theory is an example of a marginally coupled \(\phi^4 \) theory with non-integer propagator power. The #tropicalFieldTheory we are currently developing is also of that type. And secondly, the algebraic/combinatorial operations they use seem to fit nicely into a Hopf algebra description a la Connes-Kreimer (probably, someone has already worked that out in the 20 years since). Besides that, this paper also includes one section that is just a sequence of 24 lemmas, which would be more typical for Wittgenstein's tractatus than for a physics paper. What I also liked was that the paragraphs have individual titles, which makes the structure of arguments very easy to follow. https://link.springer.com/article/10.1007/s00220-003-0895-4
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#DeanRickles - Is #Time #Fundamental?
https://www.youtube.com/watch?v=1TkPn-QNYtk
#Philosophy #PhilosophyOfTime #Logic #Metaphysics #PhilosophyOfScience #Science #Emergence #Physics #Entropy #StatisticalMechanics #GR #GeneralRelativity #SpecialRelativity #Newton #Einstein #QM #QuantumMechanics #QuantumTheory #FieldTheory #Space #SpaceTime #QuantumFieldTheory #CloserToTruth #RobertKuhn
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@[email protected] @[email protected]
Via another channel yesterday came more references from @immersender #organization / #fieldtheory :
SAFs (Fligstein & McAdam); reflexive innovation (Windeler); issue fields (Hoffman).
And as an evergreen: Eisenstadt. -
@ekmiller Oh My Various Goddess Abstractions. This is so incredibly beautiful 😍
STDP reveals that timing reshapes connections.
This paper reveals how, and it's... musical.The brain as an "instrument" takes on new meaning.
https://bcs.mit.edu/news/brain-networks-encoding-memory-come-together-electric-fields-study-finds
#neuroscience #neurobuzz #cogsci #neurons #music #electricity #energy #fieldtheory #electrodynamics #instrument
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How does #Hawking #Radiation REALLY work?
"Nothing can escape #BlackHoles, yet somehow they can lose #Mass by emitting #HawkingRadiation?!" - #TheScienceAsylum
https://www.youtube.com/watch?v=rrUvLlrvgxQ&ab_channel=TheScienceAsylum
#ScienceAsylum #NickLucid #Physics #Astrophysics #Conservation #Information #ConservationOfInformation #Energy #ConservationOfEnergy #QM #QuantumMechanics #QuantumPhysics #QFT #QuantumFieldTheory #FieldTheory #QuantumField #QuantumFields #Spacetime #VirtualParticles #Evaporation
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Hey there! By way of #introduction I'm into #Snacking #ComplexityTheory #Emergence #Jung #Freud #psychology #Bowie #psychiatry #RamDass #CatsOfMastodon #Archetypes #WoodsCove #gardening #Fredagain #yoga #TranscendentalMeditation #Snacks #Haai #cooking #laundry #Jamiexx #Hermes #Hermeneutics #Swimming #qualitativeresearch #BeverlyGlennCopeland #Psyche #PotatoChips #Soul #Dreams #FieldTheory #AnalyticThird #ArchetypalThird #WeightBearingExercise #Skincare
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«Mass movements in the world are useful only when connected with the needs of the people».
'The leader as Martial Artist'. Arnold Mindell. #DeepDemocracy #ProcessWork #WorldWork #FieldTheory #Taoism #Quote #socialchange #cambiosocial