Quantum Gravity Correction to Dirac Equation via Vacuum Coupling Contribution

TL;DR

This paper introduces a generalized Dirac equation incorporating vacuum-mass contributions resulting from quantum vacuum coupling, leading to mass-like corrections beyond inertial mass, with implications for quantum gravity.

Contribution

It proposes a novel generalized Dirac equation that includes vacuum field coupling effects, extending the standard formulation with vacuum-induced mass terms.

Findings

Vacuum coupling induces mass-like corrections to Dirac equation

Extended Einstein's equations imply vacuum stress energy contributions

Generalized Dirac equation includes vacuum-mass term

Abstract

Generalized Dirac equation containing vacuum-mass contribution is introduced. The vacuum-mass contribution arises due to the coupling of quantum mechanical matter field with the vacuum field. Vacuum stress energy tensor arises in the Scalar-Tensor Field equation (Extended Einstein's Field equation), implies a mass like corrections to the newly formulated Dirac equation. Apart from the inertial mass of the electron, generalized Dirac equation proposed here, contains a mass-term as a result of vacuum field coupling.