On the geometry of the Dirac matter with the Fermionic potentials and its quantum properties

TL;DR

This paper explores how torsionally-induced non-linear interactions in Dirac matter fields can mimic quantum corrections, revealing new insights into the geometric and quantum properties of fermionic matter.

Contribution

It demonstrates that torsional interactions in gravity coupled with electrodynamics can produce effects equivalent to quantum corrections in Dirac fields.

Findings

Torsion induces non-linear interactions in Dirac matter.

These interactions can be rearranged into self-fermion potentials.

The resulting effects are formally equivalent to quantum corrections.

Abstract

We consider the torsional completion of gravity with electrodynamics for Dirac matter fields; we will see that these Dirac matter field equations will develop torsionally-induced non-linear interactions, which can be manipulated in order to be rearranged in the form of self-fermion potentials of a specific structure: eventually we will see that these non-linear interactions result into dynamical effects that are formally equivalent to those due to the quantum corrections.