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arXiv · 2404.10918

Geometrisation of Fermions in Semi-Riemannian Spacetimes

William J. Leigh
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Abstract

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.

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William J. Leigh. 2024-04-16. Geometrisation of Fermions in Semi-Riemannian Spacetimes. https://arxiv.org/abs/2404.10918

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