Electromagnetic Force as consequence of the Geometry of Minkowskian Spacetime

TL;DR

This paper demonstrates that the electromagnetic force can be derived as a geometric consequence of Minkowskian spacetime, linking electromagnetism to spacetime geometry through Lorentz transformations.

Contribution

It presents a novel derivation of the Lorentz force from spacetime geometry, emphasizing the geometric origin of electromagnetic interactions.

Findings

Electromagnetic force arises from spacetime geometry.

Lorentz transformations explain particle dynamics in electromagnetic fields.

Classical derivation connects electromagnetism with Minkowskian geometry.

Abstract

By describing the dynamical evolution of a test charged particle in the presence of an electromagnetic field as a succession of infinitesimal Lorentz boosts and rotations it is possible to obtain the Lorentz Force of Electrodynamics. A consequence of this derivation at the classical level is that, given the existence of electric and magnetic fields, the form of the electromagnetic force acting on the particle can be regarded as arising from the geometry of Minkowskian spacetime.