On Possible Implications of Self-Organization Processes through Transformation of Laws of Arithmetic into Laws of Space and Time

TL;DR

This paper explores how self-organization processes of prime integer relations can transform the laws governing complex systems from arithmetic into spatial and temporal laws, offering new insights into system behavior.

Contribution

It introduces a novel framework linking arithmetic laws with space-time laws via self-organization of prime relations, bridging number theory and physical system descriptions.

Findings

Transformation of complex system laws from arithmetic to space-time laws

Unified arithmetical and geometrical description of self-organization

Discussion of potential implications for understanding complex systems

Abstract

In the paper we present results based on the description of complex systems in terms of self-organization processes of prime integer relations. Realized through the unity of two equivalent forms, i.e., arithmetical and geometrical, the description allows to transform the laws of a complex system in terms of arithmetic into the laws of the system in terms of space and time. Possible implications of the results are discussed.