# Singularity-free spinors in gravity with propagating torsion

## TL;DR

This paper demonstrates that in a general renormalizable gravity theory with propagating torsion, torsion acts as a massive axial-vector field that prevents gravitational singularities from forming, improving upon previous models.

## Contribution

It introduces a comprehensive renormalizable model of propagating torsion in Einstein gravity and shows how torsion's properties avoid gravitational singularities.

## Key findings

- Torsion behaves as a massive axial-vector field.
- Coupling to spinors prevents gravitational singularities.
- The model enhances previous theories without compromising renormalizability.

## Abstract

We consider the most general renormalizable theory of propagating torsion in Einstein gravity for the Dirac matter distribution and we demonstrate that in this case torsion is a massive axial-vector field whose coupling to the spinor gives rise to conditions in terms of which gravitational singularities are not bound to form; we discuss how our results improve those that are presented in the existing literature, and that no further improvement can be achieved unless one is ready to re-evaluate some considerations on the renormalizability of the theory.