Electromagnetism as Space-Time Pseudo-Curvature

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.