High precision framework for Chaos Many-Body Engine

TL;DR

This paper introduces a high-precision C# framework for simulating relativistic many-body systems, enabling detailed chaos analysis and applications like studying gravitational effects and dark matter components.

Contribution

It presents a novel high-precision simulation framework integrated with chaos analysis tools, specifically designed for relativistic many-body systems in C#.

Findings

Observed intermittency in Lyapunov exponent dependence on incident momentum.

Applied 46-digit precision to analyze the Butterfly Effect in a relativistic nuclear collision model.

Framework is being used for further research on dark matter components.

Abstract

In this paper we present a C# 4.0 high precision framework for simulation of relativistic many-body systems. In order to benefit from, previously developed, chaos analysis instruments, all new modules were designed to be integrated with Chaos Many-Body Engine [1,3]. As a direct application, we used 46 digits precision for analyzing the Butterfly Effect of the gravitational force in a specific relativistic nuclear collision toy-model. Trying to investigate the average Lyapunov Exponent dependency on the incident momentum, an interesting case of intermittency was noticed. Based on the same framework, other high-precision simulations are currently in progress (e.g. study on the possibility of considering, hard to detect, extremely low frequency photons as one of the dark matter components).