Strong reactions in quantum super PDE's. I-II

TL;DR

This paper develops an algebraic topologic framework for modeling strong reactions in high energy physics using quantum super PDEs, providing new geometric tools to represent nuclear reactions.

Contribution

It introduces a novel geometric approach to encode strong reactions in quantum super PDEs through boundary value problems and handle decompositions, advancing the mathematical modeling of nuclear processes.

Findings

Representation of quantum nonlinear propagators via elementary handle decompositions

Application of boundary value problems to characterize strong reactions

Provides constructive methods for modeling nuclear reactions in quantum physics

Abstract

This is a work in three parts, devoted to encode strong reactions of the high energy physics, in the algebraic topologic theory of quantum super PDE's, (previously formulated by A. Pr\'astaro). In particular strong reactions are characterized by means of boundary value problems in quantum super PDE's. In such a way one obtains representations of quantum nonlinear propagators in quantum super PDE's, by means of elementary ones (quantum handle decompositions of quantum nonlinear propagators). These are useful to encode nuclear and subnuclear reactions in quantum physics. Pr\'astaro's geometric theory of quantum PDE's allows us to obtain constructive and dynamically justified answers to some important open problems in high energy physics.