Completing the Theory of Electron with Gravitational Torsion

Abstract

We demonstrate that classical and quantum electrodynamics can be completed by gravitational torsion appearing in Einstein-Cartan-Sciama-Kibble theory of gravity, providing the missing part of the electron theory. One of the equations of this theory, a version of Dirac type equation for fermions called Hehl-Datta equation, contains a gravitational spin-torsion term in the Lagrangian density for quantum electrodynamics. This term relates the charged fermion spin to gravitational torsion and provides a mechanical energy counter-balance to the infinite electromagnetic self-energy. As a result, there is no "bare" mass for an electron, nor is renormalization required for many scenarios.

9 pages, 3 figures, Essay submitted to the Gravity Research Foundation 2022 Awards for Essays on Gravitation. arXiv admin note: text overlap with arXiv:2103.04468