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

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