The geometrization of electromagnetism

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.

Source: arXiv:2609.13344v1 - http://arxiv.org/abs/2609.13344v1 PDF: https://arxiv.org/pdf/2609.13344v1 Original Link: http://arxiv.org/abs/2609.13344v1