Massless Fermion Mixing for Semispinorial Torsional Interaction

TL;DR

This paper explores how torsion in a geometric field theory can induce mixing and oscillations in massless fermions, potentially explaining neutrino oscillations through a novel torsional interaction mechanism.

Contribution

It introduces a new torsion-based mechanism for fermion mixing, specifically for massless fermions, linking geometric torsion to neutrino oscillations.

Findings

Torsion-spin coupling induces flavor-changing neutral currents.

Massless fermions can undergo mixing due to torsional interactions.

Potential explanation for neutrino oscillations via geometric torsion.

Abstract

We consider a geometric approach to field theory in which torsion is present in the matter field equations, and we develop the consequences of the torsion-spin coupling for a pair of single-handed spinors; we show these interactions to have the structure of a flavour-changing neutral current giving rise to a mixing for two massless fermion fields: as torsional interactions for semispinors entail mixing for massless fermions we speculate that this mechanism could be responsible for oscillations of neutrinos.