ELKO and Dirac Spinors seen from Torsion

TL;DR

This paper compares ELKO and Dirac spinor fields through their geometric properties in torsion, highlighting similarities and potential implications for cosmology and particle physics.

Contribution

It introduces a geometric perspective on ELKO and Dirac spinors in torsion, offering new insights beyond algebraic or dynamical comparisons.

Findings

Identifies geometric similarities between ELKO and Dirac spinors in torsion.

Suggests potential cosmological and particle physics implications.

Provides a framework for future research in torsion-based spinor analysis.

Abstract

In this paper, the recently-introduced ELKO and the well-known Dirac spinor fields will be compared; however, instead of comparing them under the point of view of their algebraic properties or their dynamical features, we will proceed by investigating the analogies and similarities in terms of their geometrical character viewed from the perspective of torsion. The paper will be concluded by sketching some consequences for the application to cosmology and particle physics.