System theoretic approach of information processing in nested cellular automata

TL;DR

This paper presents a system theoretic model for information processing in nested cellular automata, emphasizing multi-level processing, space-time factorization, and analogies to relativity, to better understand complex system behaviors.

Contribution

It introduces a novel discrete space-time model with nested structures and factorization techniques, linking cellular automata behavior to physical and relativistic concepts.

Findings

Model captures multi-level information processing

Factorization relates physical connections to system behavior

Expressions resemble those in Special Relativity

Abstract

The subject of this paper is the evolution of the concept of information processing in regular structures based on multi-level processing in nested cellular automata. The essence of the proposed model is a discrete space-time containing nested orthogonal space-times at its points. The factorization of the function describing the global behavior of a system is the key element of the mathematical description. Factorization describes the relations of physical connections, signal propagation times and signal processing to global behavior. In the model appear expressions similar to expressions used in the Special Relativity Theory.