Spin as Dynamical Variable or Why Parity is Broken

TL;DR

This paper proposes a modified Dirac electron theory introducing a dual wave to restore symmetry, explaining the origin and breaking of mirror symmetry in nature.

Contribution

It introduces a dual wave formulation of the Dirac electron, providing a new framework that explains the creation and breaking of mirror symmetry.

Findings

The dual electron theory produces conserved currents with mirror symmetry.

If electrons follow dual equations, mirror symmetry is violated.

The work explains the origin of mirror symmetry creation and breaking.

Abstract

There suggested a modification of the Dirac electron theory, eliminating its mathematical incompleteness. The modified Dirac electron, called dual, is described by two waves, one of which is the Dirac wave and the second dynamically restores the symmetry unused in the Dirac theory of the Dirac equation. There has been produced a set of the conserved currents which are generated by equations of the dual electron. It is shown that, although, it consists of the vector, axial and left currents, nevertheless, it has mirror symmetry. It is also shown that if the observed electron follows the dual electron equations it would violate the mirror symmetry. The results of the paper for the first time explain the ways and the reasons of mirror symmetry being created and broken in the nature.