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