# Non-Abelian Gauge-Invariant Cellular Automata

## TL;DR

This paper generalizes the concept of gauge-invariance in cellular automata to non-abelian cases, enabling a broader understanding of fundamental interactions within a computational framework.

## Contribution

It introduces a comprehensive framework for non-abelian gauge-invariance in cellular automata, extending previous restricted models to more complex gauge groups.

## Key findings

- Established a formal definition of non-abelian gauge-invariance in CA
- Demonstrated gauge-equivalence and invariants in the new framework
- Extended the applicability of CA models to fundamental physics concepts

## Abstract

Gauge-invariance is a mathematical concept that has profound implications in Physics---as it provides the justification of the fundamental interactions. It was recently adapted to the Cellular Automaton (CA) framework, in a restricted case. In this paper, this treatment is generalized to non-abelian gauge-invariance, including the notions of gauge-equivalent theories and gauge-invariants of configurations