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

2001/01/02 by I. Zborovský, I. Zborovsky, Zborovsky, I.
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Applications #Scientific Research and Discoveries #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0101018

35 pages, 1 figure, latex

arxiv created 2001/01/02 · openalex publication_date 2001/01/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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