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arXiv · 2609.13344

The geometrization of electromagnetism

Celso de Araujo Duarte
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Abstract

Previous works [1,2,3] expose a synthetic, Riemannian geometrization of electromagnetism that emerges naturally from the experimental bases provided by the Lorentz force and the Maxwell equations. Since the components of the associated space-time metric tensor depend on the four-vector velocity, Riemannian geometry does not fully describe the space-time geometry. The present work aims to provide a suitable geometrical basis for the problem, applying a \textit{pseudo-Finsler geometry} -- a Finsler geometry with a non-homogeneous norm.

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Celso de Araujo Duarte. 2026-09-11. The geometrization of electromagnetism. https://arxiv.org/abs/2609.13344

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