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Circular symmetry-breaking and topological Noether currents

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arxiv 2407.00672 v1 pith:5VGLHJAE submitted 2024-06-30 math-ph math.ATmath.MP

classification math-phmath.ATmath.MP
keywords noethercircularcurrentssymmetry-breakingwhenactionsalgebraicalong
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abstract

We propose a toy model for the algebraic topology of bubbling as circular symmetry-breaking, in terms of asymptotic expressions for Noether currents and cobordism of manifolds with circle actions free along boundaries. This leads to an interpretation of Planck's radiation law as the loss of a Noether symmetry when a bubble $[S^2/\mathbb{T}] \to {\rm pt}$ (analogous to blowing up or down in projective geometry) collapses, much like the von K\'arm\'an street of sparks left when a candle flame wisps out.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On a complex topological orientation for circle-equivariant K-theory

    math.KT 2025-05 reject novelty 4.0 of 10

    The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.

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