Coupling of a biquaternionic Dirac field to a bosonic field

TL;DR

This paper extends the biquaternionic Dirac equation to incorporate interactions with a bosonic field, resulting in Maxwell-like equations that unify matter and electromagnetic fields, generalizing Wilczek's equations.

Contribution

It introduces a novel biquaternionic formulation of the Dirac equation coupled with bosonic fields, expanding the theoretical framework of quantum field interactions.

Findings

Derivation of Maxwell-like equations from the biquaternionic Dirac equation

Unification of matter and electromagnetic fields in a generalized framework

Extension of Wilczek field equations to a broader context

Abstract

We extend the biquaternionic Dirac equation to include interactions with a background bosonic field. The obtained biquaternionic Dirac equation yields Maxwell-like equations that hold for both a matter field and an electromagnetic field. The resulting equations are generalizations of the equations of Wilczek fields.