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Celso de Araujo Duarte

Publications and source records attributed to Celso de Araujo Duarte.

4 recordsLinked to original sources
arXiv2026

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.

physics.gen-ph↗
arXiv2015

The classical geometrization of the electromagnetism

Following the line of the history, if by one side the electromagnetic theory was consolidated on the 19th century, the emergence of the special and the general relativity theories on the 20th century opened possibilities of further developments, with the search for the unification of the gravitation and the electromagnetism on a single unified theory. Some attempts to the geometrization of the electromagnetism emerged in this context, where these first models resided strictly on a classical basis. Posteriorly, they were followed by more complete and embracing quantum field theories. The present work reconsiders the classical viewpoint, with the purpose of showing that at first order of approximation the electromagnetism constitutes a geometric structure aside other phenomena as gravitation, and that magnetic monopoles do not exist at least up to this order of approximation. Even though being limited, the model is consistent and offers the possibility of an experimental test of validity.

physics.gen-ph↗