When Coincidence has Meaning: Understanding Emergence Through Networks of Information Token Recurrence

TL;DR

This paper introduces a novel tensor-based framework for understanding meaningful coincidences in complex systems, aiming to uncover universal mathematical properties linking micro-events to macro-system changes.

Contribution

It proposes a new theoretical approach extending Transcendental Information Cascades to model coincidences without causal links, laying groundwork for future empirical validation.

Findings

Preliminary theoretical framework established

Potential applications in complex system analysis identified

Foundation for discovering universal properties of meaningful coincidences

Abstract

In this paper I conceptualise a novel approach for capturing coincidences between events that have not necessarily an observed causal relationship. Building on the Transcendental Information Cascades approach I outline a tensor theory of the interaction between rare micro-level events and macro-level system changes. Afterwards, I discuss a number of application areas that are promising candidates for the validation of the theoretical assumptions outlined here in practice. This is preliminary work that is sought to lay the foundation to discover universal mathematical properties of coincidences that have a measurable impact on the macroscopic state of a complex system and are therefore to be considered meaningful.