Relativistic Equations for Spin Particles: What Can We Learn From Noncommutativity?

TL;DR

This paper derives relativistic equations for spin particles using generalized formalisms and explores how introducing non-commutativity can offer new insights into the origin of mass.

Contribution

It extends relativistic equations for higher-spin particles and investigates the role of non-commutative parameters in explaining mass origin.

Findings

Non-commutative parameters may explain the origin of mass.

Generalized formalism applies to charged and neutral spin particles.

New physical insights from non-commutative extensions.

Abstract

We derive relativistic equations for charged and neutral spin particles. The approach for higher-spin particles is based on generalizations of the Bargmann-Wigner formalism. Next, we study, what new physical information can the introduction of non-commutativity give us. Additional non-commutative parameters can provide a suitable basis for explanation of the origin of mass.