Violation of the Feynman scaling law as a manifestation of nonextensivity

TL;DR

This paper shows that the violation of the Feynman scaling law in particle production can be explained by nonextensive statistical mechanics, derived from an information theory perspective, providing a new understanding of cosmic ray data.

Contribution

It introduces an information theory approach to multiparticle production, explaining Feynman scaling violation as a nonextensive phenomenon, offering a novel theoretical framework.

Findings

Feynman scaling violation linked to nonextensivity

Derivation of particle spectra from information theory

Provides a new interpretation of cosmic ray data

Abstract

We demonstrate that the apparently ad hoc parametrization of the particle production spectra discussed in the literature and used in description of cosmic ray data can be derived from the information theory approach to multiparticle production processes. In particular, the violation of the Feynman scaling law can be interpreted as a manifestation of nonextensivity of the production processes.