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 $\mathit{\text{pseudo-Finsler}}\mathit{\text{geometry}}$ – a Finsler geometry with a non-homogeneous norm.