From the Torsion Tensor for Spinors to the Weak Forces for Leptons

TL;DR

This paper explores a geometric framework where torsion couples with spinor fields, leading to interactions resembling weak forces among leptons, with implications for unifying fundamental interactions.

Contribution

It introduces a torsion-based geometric approach that naturally produces weak-like interactions among leptons, offering insights into unification in fundamental physics.

Findings

Torsion-spin coupling mimics weak interactions among leptons

The geometric approach links torsion to electroweak phenomena

Implications for the standard model and unification theories

Abstract

We consider a geometric approach to field theory in which torsion is present beside gravity and also electrodynamics for the matter field equations, and we develop the consequences of the torsion-spin coupling for the spinor fields; we show that these interactions have the structure of the weak interactions acting among leptons: we discuss the implications for the standard model of fundamental interactions of elementary fields in the perspective of the foundations of unification in theoretical physics.