Gravity-Electromagnetic Coupling for g-2

Abstract

We investigate the effects of gravity on the electron anomalous magnetic moment, $a_e = (g-2)/2$, within the framework of Quantum Electrodynamics (QED). The application of the Dirac-based gravitational theory reveals significant electromagnetic-gravitational interactions, leading to second-order relativistic effects on $a_e$ estimated at $0.7 \times 10^{-9}$ in Earth-based experiments. This estimation falls within the observable range, indicating the necessity to consider gravitational effects in high-precision measurements and suggesting novel experimental avenues in gravitational theory.