Self-similarity of high-pT hadron production in cumulative processes and violation of discrete symmetries at small scales (suggestion for experiment)

The hypothesis of self-similarity of hadron production in relativistic heavy ion collisions for search phase transition in a nuclear matter is discussed. It is offered to use the established features of z-scaling for revealing signatures of new physics in cumulative region. It is noted, that selection of events on centrality in cumulative region could help to localize a position of a critical point. Change of parameters of the theory (a specific heat and fractal dimensions) near to a critical point is considered as a signature of new physics. The relation of the power asymptotic of Ψ(z) at high z, anisotropy of momentum space due to spontaneous symmetry breaking, and discrete (C,P,T) symmetries is emphasized