Torsion Gravity for Dirac Particles

TL;DR

This paper explores how torsion gravity affects Dirac particles, showing that certain spinor configurations lead to stable, localized matter distributions with implications for particle modeling.

Contribution

It introduces a novel analysis of torsion effects on Dirac fields, demonstrating stable particle-like solutions with specific spinor phase and precession considerations.

Findings

Negative Takabayashi angle explained by torsion-spin interactions

Stable, localized matter distributions derived from exponential decay of the spinor module

Partially conserved axial-vector currents support the model's consistency

Abstract

In this paper we consider torsion gravity in the case of the Dirac field, and by going into the rest frame we study what happens when a uniform precession as well as a phase are taken into account for the spinor field; we discuss how partially conserved axial-vector currents and torsion-spin attractive potentials justify negative Takabayashi angle and energy smaller than mass: because in this instance the module goes to zero exponentially fast then we obtain stable and localized matter distributions suitable to be regarded as a description of particles.