Kinematic in $SU(2,2)\simeq O(2,4)$ alternative world (observable coordinates and impulses representation)

TL;DR

This paper derives explicit matrix elements linking non-physical angles to physical observables in an alternative O(2,4) world, using hypergeometric functions, and constructs wave functions for free particles within this framework.

Contribution

It provides explicit formulas for matrix elements connecting angle and observable representations in an O(2,4) model, expanding understanding of alternative spacetime symmetries.

Findings

Matrix elements expressed via hypergeometric functions

Wave functions for free particles constructed

Relations between micro and macro variables established

Abstract

The matrix elements connected non physic angles space representation with the space of physic observables of alternative O(2,4) world found on explicit form. All such matrix elements are represented in terms of solutions of Gauss hypergeometric equations. From these results wave function of free moving particle in alternative world may be constructed. Definite relations between micro and macro label variables are presented.