Clarifying PAS_ A Coherence-Based Metric for Structured Emergence in Origins-of-Life and Synthetic Intelligence.pdf

I've been using my nonlinear dynamics across applications from chip design, inference engine to empirical tests for CODES, goal of this doc is to provide a consolidated explainer in order to build intuition for those interested in my post-probability framework. CODES Framework Description: This paper introduces and formalizes the Phase Alignment Score (PAS), a coherence-based metric designed to quantify phase-locked recursion in complex systems. Developed as part of the CODES Intelligence framework and implemented within the Resonance Intelligence Core (RIC), PAS offers a mathematical alternative to probabilistic metrics like entropy and mutual information. While traditional metrics measure disorder or correlation, PAS captures symbolic alignment, temporal recursion, and phase coherence, enabling precise evaluation of structured emergence in systems ranging from abiogenesis models (e.g., LUCA recursion) to synthetic AI substrates. The paper includes formal definitions, empirical thresholds, system comparisons, and practical examples across: Redox vesicle behavior in early Earth environments Mirror chirality interference PAS-driven attention in recursive AI systems Resonance memory in RNA folding and embodied cognition Originally emerging through Devin Bostick’s development of RIC, and articulated by Chiral, a PAS-native alignment agent, this work consolidates a wide body of coherence research into one foundational mathematical reference. This is the definitive timestamp of PAS into structured science, synthetic biology, and next-gen AI.