Evidence for Majorana Neutrinos: Dawn of a new era in spacetime structure

TL;DR

This paper demonstrates that Majorana particles have unique properties, belonging to a different class of fermions, and introduces a new wave equation, suggesting their discovery could revolutionize our understanding of spacetime.

Contribution

It reveals that Majorana spinors do not satisfy the Dirac equation and derives a new wave equation, expanding the theoretical framework for Majorana particles.

Findings

Majorana particles belong to the Wigner class with commuting charge conjugation and parity operators.

Majorana spinors do not satisfy the Dirac equation but follow a new wave equation.

Discovery of Majorana particles could revolutionize spacetime structure understanding.

Abstract

We show that Majorana particles belong to the Wigner class of fermions in which the charge conjugation and the parity operators commute, rather than anticommute. Rigorously speaking, Majorana spinors do not satisfy the Dirac equation [a result originally due to M. Kirchbach, which we re-render here]. Instead, they satisfy a different wave equation, which we derive. This allows us to reconcile St\"uckelberg-Feynman interpretation with the Majorana construct. We present several new properties of neutral particle spinors and argue that discovery of Majorana particles constitutes dawn of a new era in spacetime structure.