Free fall and cellular automata

TL;DR

This paper explores how cellular automata can simulate particle motion under constant force across Newtonian physics, Special Relativity, and General Relativity, highlighting the differences in outcomes for each theory.

Contribution

It demonstrates the application of cellular automata to model relativistic and classical particle dynamics, providing a comparative analysis of the theories.

Findings

Different results observed for Newtonian, relativistic, and gravitational cases.

Cellular automata can effectively simulate classical and relativistic physics.

The approach highlights the distinct behaviors predicted by each theory.

Abstract

Three reasonable hypotheses lead to the thesis that physical phenomena can be described and simulated with cellular automata. In this work, we attempt to describe the motion of a particle upon which a constant force is applied, with a cellular automaton, in Newtonian physics, in Special Relativity, and in General Relativity. The results are very different for these three theories.