On Majorana's equation

TL;DR

This paper questions the physical significance of Majorana's equation, arguing it is based on arbitrary matrix choices and may not accurately describe neutral WIMPs as dark matter candidates.

Contribution

It critically analyzes Majorana's equation, highlighting its dependence on matrix representation and challenging its use in describing dark matter particles.

Findings

Majorana's equation's physical meaning is dubious.

The equation depends on ad hoc gamma-matrix representations.

It may not accurately describe neutral WIMPs.

Abstract

The physical results of quantum field theory are independent of the various specializations of Dirac's gamma-matrices, that are employed in given problems. Accordingly, the physical meaning of Majorana's equation is very dubious,considering that it is a consequence of ad hoc matrix representations of the gamma-operators. Therefore, it seems to us that this equation cannot give the equation of motion of the neutral WIMPs (weakly interacting massive particles), the hypothesized constitutive elements of the Dark Matter.