Basic Aspects of Negator Algebra in SOC

TL;DR

This paper explores the relationship between self-organized criticality (SOC) and negator algebra, proposing a categorial perspective that suggests universal holistic principles, and prepares for future research illustrating this universality.

Contribution

It introduces a categorial approach to negator algebra in SOC, highlighting potential universal holistic principles and setting the stage for further empirical investigation.

Findings

Categorial perspective yields holistic conclusions

Links SOC with negator algebra and universality

Prepares for concrete research project

Abstract

Recent developments in loop quantum gravity and topological quantum field theory are being mirrored with a view to the emergent structure of self- organized criticality (SOC). Referring back to an earlier paper [nlin.AO/ 0105064], the relationship of SOC to negator algebra is discussed. It is shown that introducing the categorial perspective leads to further holistic conclusions of considerable universality. This present paper shall serve as a preparation of a concrete research project under way designed to illustrate this very universality. Hence, it belongs to a series of recent publications discussing the modern and fruitful interaction between philosophy and the sciences, beyond mere historical aspects and the traditional rephrasing of well-known scientific results.