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arXiv · 2407.00672

Circular symmetry-breaking and topological Noether currents

Jack Morava
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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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Jack Morava. 2024-06-30. Circular symmetry-breaking and topological Noether currents. https://arxiv.org/abs/2407.00672

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