Self-consistent equation for torsion arising as a consequence of the Dirac sea quantum fluctuations in external classical electromagnetic and gravitational fields

TL;DR

This paper derives a self-consistent equation for torsion resulting from quantum fluctuations of the Dirac field in external electromagnetic and gravitational fields, highlighting the quantum origin of torsion.

Contribution

It introduces a novel self-consistent equation for torsion based on one-loop fermion diagrams in external fields, linking quantum fluctuations to spacetime torsion.

Findings

Derived a self-consistent torsion equation from Dirac sea fluctuations.

Connected quantum fermion loops to spacetime torsion.

Provided a theoretical framework for quantum-induced torsion in gravity.

Abstract

The quantum fluctuations of the Dirac field in external classical gravitational and electromagnetic fields are studied. A self-consistent equation for torsion is calculated, which is obtained using one-loop fermion diagrams.