Implementation of quark confinement, and retarded interactions algorithms for Chaos Many-Body Engine

TL;DR

This paper extends the Chaos Many-Body Engine to include quark confinement and retarded interactions, providing new tools for simulating relativistic nuclear collisions and exploring fundamental physics phenomena.

Contribution

It introduces a confinement algorithm based on cluster decomposition and minimum potential energy, and implements retarded interactions, enhancing the engine's capability for chaos and collision analysis.

Findings

Confinement algorithm successfully models quark clusters.

Retarded interactions may explain Virial theorem anomalies.

Engine refactored with SOLID principles and extensive testing.

Abstract

In Grossu et al. (2012) we presented a Chaos Many-Body Engine (CMBE) toy-model for chaos analysis of relativistic nuclear collisions at 4.5 A GeV/c (the SKM 200 collaboration) which was later extended to Cu + Cu collisions at the maximum BNL energy. Inspired by existing quark billiards, the main goal of this work was extending CMBE to partons. Thus, we first implemented a confinement algorithm founded on some intuitive assumptions: 1) the system can be decomposed into a set of two or three-body quark white clusters; 2) the bi-particle force is limited to the domain of each cluster; 3) the physical solution conforms to the minimum potential energy requirement. Color conservation was also treated as part of the reactions logic module. As an example of use, we proposed a toy-model for p + p collisions at sqrt(s)=10 GeV and we compared it with HIJING. Another direction of interest was related to retarded interactions. Following this purpose, we implemented an Euler retarded algorithm and we tested it on a simple two-body system with attractive inverse-square-law force. First results suggest that retarded interactions may contribute to the Virial theorem anomalies (dark matter) encountered for gravitational systems (e.g. clusters of galaxies). On the other hand, the time reverse functionality implemented in CMBE v03 could be used together with retardation for analyzing the Loschmidt paradox. Regarding the application design, it is important to mention the code was refactored to SOLID. In this context, we have also written more than one hundred unit and integration tests, which represent an important indicator of application logic validity.