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

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