Extended Chaos Theory and Multiparticle Production

TL;DR

This paper extends chaos theory to model multiparticle production and air showers at high energy, deriving a quantitative formula and highlighting universal properties of these phenomena.

Contribution

It introduces an extended chaos theory framework for describing multiparticle production, linking period bifurcation to particle creation, and derives an approximate formula for high-energy phenomena.

Findings

Quantitative results for multiparticle production

Universal properties of chaos in high-energy physics

Derived approximate formula for particle production

Abstract

First, using the method of the soliton-solution, the fermion probability density equation, which corresponds to the Dirac equation, is derived. Next, we extend the chaos theory, in which the period bifurcation is equivalent to the particle production. Then this extended chaos theory can be used for description of the multiparticle production and the extensive air showers at high energy. Let the parameter takes a suitable value, the quantitative results will be obtained, and an approximate formula will be derived. Many properties of the multiparticle production and of the chaos theory are universal.