English

Circular symmetry-breaking and topological Noether currents

Mathematical Physics 2024-07-02 v1 Algebraic Topology math.MP

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 [S2/T]pt[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.

Cite

@article{arxiv.2407.00672,
  title  = {Circular symmetry-breaking and topological Noether currents},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2407.00672},
  year   = {2024}
}

Comments

Notes from a talk at the JHU-UniBo conference https://sites.google.com/view/noncommutativity/home

R2 v1 2026-06-28T17:23:59.633Z