# Cellular Automaton-Like Model of Arising Physical-Like Properties

## TL;DR

This paper introduces a cellular automaton-like model based on a simple relation among abstract objects, which leads to stable quantities and a discrete spectrum, potentially resembling quantum system representations.

## Contribution

It proposes a novel cellular automaton-like model for abstract objects that exhibits stable quantities and discrete spectra, suggesting parallels with quantum systems.

## Key findings

- Quantities stabilize over time during evolution.
- The model produces a discrete spectrum of values.
- Potential connections to quantum system representations.

## Abstract

A simple relation of the order of $n$ abstract objects generates an $n-2$ dimensional basis of three dimensional vectors. A cellular automaton-like model of evolution of this system is postulated. During this evolution, some quantities stabilize with time and form a discrete spectrum of values. The presented model may have some general aspects in common with a cellular automaton representation of a quantum system.