Simulation model of spacetime with the Minkowski metric

TL;DR

This paper introduces a discrete spacetime simulation model based on Wolfram's ideas, demonstrating relativistic effects and ensuring reproducibility through an object-oriented approach in Python.

Contribution

It presents a novel discrete spacetime simulation model using non-numerical, object-oriented methods, suitable for scientific experiments and verification.

Findings

Demonstrates time dilation effects

Shows dynamic relativistic phenomena

Provides reproducible simulation results

Abstract

In this paper, we propose a simulation model of spacetime as a discrete model of physical space. The model is based on the ideas of Stephen Wolfram and uses non-numerical modelling. The simulation model is described as an ontology. We use object-oriented simulation (OOS), but the model is also suitable for agent-based simulation (ABS). We use UML2 SP (UML Scientific Profile), an object-oriented simulation language used in scientific fields. This paper describes several experiments that demonstrate time dilation and dynamic relativistic effects. The reproducibility of experimental results can be verified. We provide a link to the repository in this paper. The model is implemented in Python.