Parity Violation and Neutrino Mass

TL;DR

This paper explores the hypothesis that neutrinos are spacelike particles with tiny masses, proposing a Dirac-type equation that accounts for maximum parity violation and analyzing its solutions.

Contribution

It introduces a novel Dirac-type equation for spacelike neutrinos that incorporates maximum parity violation and discusses its solutions, advancing theoretical understanding.

Findings

Neutrinos may be spacelike particles with tiny proper mass.

A new Dirac-type equation for spacelike neutrinos is formulated.

The solutions of this equation are analyzed in the context of parity violation.

Abstract

Besides the fact of parity violation in weak interactions, based on evidences from neutrino oscillation and tritium beta decay, a natural conjecture is that neutrinos may be spacelike particles with a tiny proper mass. A Dirac-type equation for spacelike neutrinos is further investigated and its solutions are discussed. This equation can be written in two spinor equations coupled together via nonzero proper mass while respecting maximum parity violation.