Theory of CHTW-systems. Born by Petri Nets

TL;DR

This paper introduces CHTW-systems, a multidimensional Petri net framework inspired by superstring theory concepts, enabling new ways to model spatially distributed resources and transitions in dynamic systems.

Contribution

It proposes the novel concept of CHTW-systems as a multidimensional Petri net model with spatial distribution, expanding the theoretical framework of hybrid functional Petri nets.

Findings

Defines CHTW-systems as multidimensional Petri nets with spatial distribution.

Provides initial classification of CHTW-systems.

Describes dynamic behavior for stationary and non-stationary cases.

Abstract

For the first time, the concept of CHTW-systems as a multidimensional representation of Petri nets, based on the assumption of the spatial distribution of tokens (resources) in positions (branes) and, accordingly, the spatial representation of transitions and arcs is proposed. The theoretical constructs are based on the concept of hybrid functional Petri nets [10]. The introduced concepts of branes and carriers are distant analogies of the corresponding concepts in superstring theory, but the theory of CHTW-systems is neither part of superstring theory nor its development. The description of CHTW-system as a dynamic system for stationary and non-stationary cases is considered. The initial classification of CHTW systems is provided enabling understanding of further research directions.