#mathphysics — Public Fediverse posts

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

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

Book Review: How Radio Astronomy Made the Invisible Visible
- ciundrk
https://undark.org/2026/06/05/book-review-echoing-universe/
#Books #MathPhysics #SpaceAstronomy

Book Review: How Radio Astronomy Made the Invisible Visible
- ciundrk
https://undark.org/2026/06/05/book-review-echoing-universe/
#Books #MathPhysics #SpaceAstronomy

Published on Zenodo: "Symmetric Extension of Ultrametric Error Confinement — Ternary Tree Architecture." DOI: 10.5281/zenodo.20208437

Original p=2 Bruhat-Tits tree: tie-breaking favored bit 0 — bit 1 barrier collapsed to B=2. Fix: p=3 ternary trees. Odd branching = no ties. Both bits get exponential protection B(d)=2^d. Zero errors at d=7.

Physical pathway: 40 atoms on existing neutral atom hardware.

#QuantumComputing #QuantumErrorCorrection #BruhatTits #PAdic #MathPhysics

Book Review: The Mind-Boggling Science of Enormous Numbers
- ciundrk
https://undark.org/2026/05/15/book-review-huge-numbers/
#Books #MathPhysics

Book Review: The Mind-Boggling Science of Enormous Numbers
- ciundrk
https://undark.org/2026/05/15/book-review-huge-numbers/
#Books #MathPhysics

You: are a woman or gender minority who's curious about the #mathematics of waves 🌊 👋

You: would like to spend a life-changing week at Princeton IAS this May, for a lecture series on Waves, Wave Packets, and Their Interactions
Me: has good news! Apply by ⏰ Feb 6 for the Women and Mathematics program.

https://www.ias.edu/math/wam/wam-2026

Travel, food, lodging, and childcare are funded. Undergrads, grad students, and faculty are all eligible—there are two parallel tracks! #MathResearch #MathCommunity #MathPhysics

You: are a woman or gender minority who's curious about the #mathematics of waves 🌊 👋

You: would like to spend a life-changing week at Princeton IAS this May, for a lecture series on Waves, Wave Packets, and Their Interactions
Me: has good news! Apply by ⏰ Feb 6 for the Women and Mathematics program.

https://www.ias.edu/math/wam/wam-2026

Travel, food, lodging, and childcare are funded. Undergrads, grad students, and faculty are all eligible—there are two parallel tracks! #MathResearch #MathCommunity #MathPhysics

Hilbert space: Treating functions as vectors

https://eli.thegreenplace.net/2025/hilbert-space-treating-functions-as-vectors/

#HackerNews #HilbertSpace #FunctionsAsVectors #MathPhysics #QuantumTheory

Hilbert space: Treating functions as vectors

https://eli.thegreenplace.net/2025/hilbert-space-treating-functions-as-vectors/

#HackerNews #HilbertSpace #FunctionsAsVectors #MathPhysics #QuantumTheory

A new era: Computer science overtakes math+physics on arXiv.
#arXiv #Math #Physics #MathPhysics #CS #ComputerScience #NewEra