Noetiko Convergence II: Operational Phase-Coordination Signatures in Coupled Oscillator Networks

Abstract: This paper provides a conservative, operational framework for studying coordination transitions in ensembles of oscillatory degrees of freedom using reduced phase descriptions. It is designed as a strict complement to Paper I (Biological Information Stability): while Paper I formalizes metastable persistence under open-system constraints, Paper II formalizes how phase coordination can be measured, falsified, and interpreted without semantic overreach. We treat Kuramoto-type dynamics as a minimal scaffold, not as a biological mechanism claim. The main contributions are: (i) explicit guardrails separating coordination statistics from functional interpretation; (ii) an operational phase-extraction contract and validity criteria; (iii) testable signature sets with mandatory surrogate controls and null hypotheses; (iv) counter-classes (including hypersynchrony and clustered synchronization) requiring auxiliary metrics beyond the order parameter; and (v) a reproducible simulation specification used only as a sanity check. The result is journal-grade methodological rigor for coordination claims in biological or engineered systems. Defines reproducible phase-coordination signatures in coupled oscillators and complex networks—paired with surrogate testing to prevent semantic overreach. A conservative scaffold linking coordination metrics, null models, and falsification criteria for open-system synchronization research.