Completing the Theory of Electron with Gravitational Torsion

TL;DR

This paper shows that incorporating gravitational torsion into Einstein-Cartan theory completes the classical and quantum description of the electron, eliminating the need for renormalization by balancing electromagnetic self-energy.

Contribution

It introduces a gravitational spin-torsion term in the Dirac equation for fermions, providing a new mechanism to address electron mass and self-energy issues.

Findings

Eliminates the need for electron renormalization

Balances electromagnetic self-energy with gravitational torsion

Provides a unified classical and quantum electron theory

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.