Z scaling, fractality, and principles of relativity in the interactions of hadrons and nuclei at high energies

Abstract

The formation length of particles produced in the relativistic collisions of hadrons and nuclei has relevance to fundamental principles of physics at small interaction distances. The relation is expressed by z scaling observed in the differential cross sections for the inclusive reactions at high energies. The scaling variable reflects the length of the elementary particle trajectory in terms of a fractal measure. Characterizing the fractal approach, we demonstrate the relativity principles in space with broken isotropy. We derive relativistic transformations accounting for asymmetry of space-time expressed by different anomalous fractal dimensions of the interacting objects.