Relativistic wave equations with extended set of the Lorentz group representations

TL;DR

This paper explores extended Lorentz group representations to enhance relativistic wave equations, enabling better descriptions of particle internal structures and facilitating applications in superstring and gauge theories.

Contribution

It introduces an extended set of Lorentz group representations, broadening the theoretical framework for relativistic wave equations and their applications in fundamental physics.

Findings

Extended Lorentz representations allow richer internal particle descriptions.

The approach integrates with superstring and gauge models.

New theoretical possibilities for relativistic wave equations are demonstrated.

Abstract

It is shown that the use of extended sets of irreducible representations of the Lorentz group opens new possibilities for the theory of relativistic wave equations from the point of view of the space-time description of both the internal structure and the isospin degrees of freedom of elementary particles. The approach developed in this work also makes it possible to apply the methods of the theory of relativistic wave equations in superstring and gauge models of fundamental interactions.