The Mass of the Neutrinos

TL;DR

This paper explores how modifications to spacetime structure that break Lorentz invariance can generate a non-zero mass for neutrinos, challenging the traditional view of neutrinos as massless.

Contribution

It introduces a novel mechanism linking spacetime modifications to neutrino mass generation, extending beyond standard Lorentz-invariant theories.

Findings

Neutrino mass can arise from spacetime non-smoothness

Modifications to special relativity impact neutrino properties

Theoretical framework connects spacetime structure to particle mass

Abstract

In the theory of the Dirac equation and in the standard model, the neutrino is massless. Both these theories use Lorentz invariance. In modern approaches however, spacetime is no longer smooth, and this modifies special relativity. We show how such a modification throws up the mass of the (electron) neutrino.