Electromagnetic Field Tensor and Lorentz Force as Consequence of the Geometry of Minkowskian Spacetime

TL;DR

This paper demonstrates that the electromagnetic field tensor and Lorentz Force naturally arise from Minkowskian spacetime geometry, clarifying their geometric and empirical origins.

Contribution

It reveals that electromagnetic phenomena and forces are direct consequences of spacetime geometry, providing a geometric foundation for classical electromagnetism.

Findings

Electromagnetic tensor linked to spacetime boosts and rotations

Lorentz Force derived from Minkowskian geometric structure

Clarification of the empirical origin of Lorentz Force

Abstract

We show that the electromagnetic field tensor and the Lorentz Force are both a natural consequence of the geometric structure of Minkowskian space, being related to infinitesimal boosts and rotations in spacetime. The longstanding issue about the apparent empirical origin of the Lorentz Force is clarified.