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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{duarte2026geometrization,
  title = {{The geometrization of electromagnetism}},
  author = {Celso de Araujo Duarte},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13344},
  eprint = {2609.13344},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13344},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The geometrization of electromagnetism
AU  - Celso de Araujo Duarte
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.13344
UR  - https://arxiv.org/abs/2609.13344
AB  - 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.
ER  -