Electromagnetism as Space-Time Pseudo-Curvature

TL;DR

This paper introduces a new geometric framework that interprets electromagnetism as a form of spacetime pseudo-curvature, unifying electromagnetic phenomena with general relativity principles and predicting novel effects.

Contribution

It presents a novel geometric approach linking electromagnetism to spacetime pseudo-curvature, extending classical results and proposing test-charge-dependent phenomena.

Findings

Recover classical electromagnetic results like Coulomb's Law

Predict test-charge-dependent time dilation and length contraction

Suggest new geometric interpretations of electromagnetic phenomena

Abstract

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations, we recover classical electromagnetic results, including Coulomb's Law, the magnetic field of a rotating sphere, and the propagation of electromagnetic waves. Additionally, this framework predicts unique phenomena, such as test-charge-dependent time dilation and length contraction, which lie outside the scope of Maxwell's electromagnetism and Quantum Electrodynamics. These results suggest new avenues for exploring the interplay between geometry and field theories in fundamental physics.