Least-Order Torsion-Gravity for Dirac Fields, and their Non-Linearity terms

TL;DR

This paper explores how the most general least-order torsion in gravity coupled with electrodynamics affects Dirac fermions, inducing self-interactions that can lead to localized, stable matter distributions.

Contribution

It introduces a comprehensive torsion-gravity framework for Dirac fields and analyzes the resulting fermion self-interactions and their potential to produce stable, localized matter configurations.

Findings

Torsion-spin coupling induces fermion self-interactions.

Self-interactions can mimic field-quantization effects.

Localized, stable matter distributions can arise from torsion effects.

Abstract

We will consider the most general least-order torsional completion of gravity with electrodynamics for the Dirac matter fields, and we study the effects that the torsion-spin coupling will have in inducing self-interactions among the fermion fields themselves; we will see that such self-interactions of fermions have effects analogous to those of the field-quantization prescription, and we will study the way in which they can give rise to matter distributions that are localized in a compact region and stable under the influence of perturbations.