Emergence as the Dynamic Operator of Evolutionary Structuring — An Informational Framework within the Genesis–Integration Principle (GIP)

This paper proposes a theoretical framework for understanding emergence as the dynamic operator of evolutionary structuring within the Genesis–Integration Principle (GIP). Building on philosophical insights — from Lewes to Bergson and Whitehead — the study develops a model grounded in information theory, nonlinear dynamics, and systems modeling. Emergence is defined as a universal operator enabling systems to transition from multiplicity to coherence, from potentiality to realization, and from disorder to structured complexity. Within the G→I→O evolutionary cycle — Genesis (G), Integration (I), and Optimization (O) — emergence functions as the circulating energy driving systemic transformation. Mathematical models and a proposed Universal Emergence Metric (UEM) provide tools for tracing and quantifying emergent phenomena across biological, cognitive, social, and cosmological domains. Ontologically, emergence is positioned as an informational operator within a universe fundamentally structured by information. This study contributes to the development of an integrative informational worldview bridging science, philosophy, and future applications in consciousness research, artificial intelligence, and civilization evolution.