Conformal quantum space $SU(2,2)\simeq O(2,4)$ with Poincare group of motion

TL;DR

This paper demonstrates that the algebra of a specific conformal quantum space can be realized within Minkowski space, discusses associated field equations and solutions, and derives particle motion equations from classical counterparts.

Contribution

It introduces a realization of the conformal quantum space algebra on Minkowski space and explores its implications for field theory and particle motion equations.

Findings

Realization of quantum space algebra on Minkowski space

Discussion of field equations and their solutions

Implicit form of particle motion equations derived from classical equations

Abstract

It is shown that algebra of quantum space of the title of the present paper may be realized on usual unphysical Minkowskii one. Equations of field theory and there solutions are discussed. Solution equations of particle motion are obtained in implicit form from the classical ones.