Geometrisation of Fermions in Semi-Riemannian Spacetimes
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916209897766912 |
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| author | Leigh, William J. |
| author_facet | Leigh, William J. |
| contents | An earlier scheme [arXiv:2404.03360], where torsion plays an essential part in a flat spacetime account of fermion spin, is extended to spacetimes with non-zero Riemann curvature. It is found that further essential features of the fermion, in particular its electromagnetic field, are determined by the curvature and torsion of spacetime. A natural model for the metric, singular along the spin axis of the particle, permits integration of a stress-energy tensor that fixes a realistic electron mass in terms of the Planck mass, despite the many orders of magnitude by which these values differ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometrisation of Fermions in Semi-Riemannian Spacetimes Leigh, William J. General Relativity and Quantum Cosmology High Energy Physics - Theory An earlier scheme [arXiv:2404.03360], where torsion plays an essential part in a flat spacetime account of fermion spin, is extended to spacetimes with non-zero Riemann curvature. It is found that further essential features of the fermion, in particular its electromagnetic field, are determined by the curvature and torsion of spacetime. A natural model for the metric, singular along the spin axis of the particle, permits integration of a stress-energy tensor that fixes a realistic electron mass in terms of the Planck mass, despite the many orders of magnitude by which these values differ. |
| title | Geometrisation of Fermions in Semi-Riemannian Spacetimes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.10918 |