Circular symmetry-breaking and topological Noether currents
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914852794007552 |
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| author | Morava, Jack |
| author_facet | Morava, Jack |
| contents | 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 Kármán street of sparks left when a candle flame wisps out. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00672 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Circular symmetry-breaking and topological Noether currents Morava, Jack Mathematical Physics Algebraic Topology 55Nxx, 57R91, 74A15 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 Kármán street of sparks left when a candle flame wisps out. |
| title | Circular symmetry-breaking and topological Noether currents |
| topic | Mathematical Physics Algebraic Topology 55Nxx, 57R91, 74A15 |
| url | https://arxiv.org/abs/2407.00672 |