Extended set of Majorana spinors, a new dispersion relation, and a preferred frame

TL;DR

This paper introduces an extended set of Majorana spinors that describe neutral particles with a new dispersion relation, potentially explaining matter-antimatter asymmetry and implying a preferred cosmic frame.

Contribution

It presents a novel description of neutral particles using extended Majorana spinors, revealing a new dispersion relation and a possible preferred frame linked to cosmic neutrino background.

Findings

Extended Majorana spinors describe a new class of fermions.

A new dispersion relation E=-2m ± sqrt{p^2 + m^2} is proposed.

The model suggests a natural explanation for matter-antimatter asymmetry.

Abstract

We aspire to fufill Majorana's original goal of bringing full symmetry between the charged and fundamentally neutral particles. We present a description of fundamentally neutral particles without any reliance on Dirac spinors. We show that the extended set Majorana spinors (a) describe a Wigner class of fermions in which the charge conjugation and the parity operators commute, rather than anticommute, and (b) support two type of dispersion relations, the usual E= pm sqrt{p^2+m^2}, and a new E=- 2m \pm sqrt{p^2+m^2}. The latter may be preferred over the former on minimization of energy requirement and offers a natural source for observed matter-antimatter asymmetry in the universe. The ensuing physical interpretation requires existence of a preferred frame which may be identified with the cosmic neutrino background.