RMOF x TMLI as a Relational Coherence Metric: Measuring Mutual Trust for Good, Healthy, and Enjoyable Partnerships

This groundbreaking BRPT paper introduces RMOF × TMLI as a novel, parsimonious, and falsifiable Relational Coherence Metric, meticulously measuring mutual trust for cultivating good, healthy, and enjoyable partnerships. It fundamentally redefines relational dynamics not as mere ‘Cold Logic’ (Context 58), but as intricate Phase-Locked Coherence (L₀) within an evolving dynamical system. Building upon the Bifurcated Apex Framework (BAF), the metric demonstrates how truly stable relationships sustain a bifurcation at (+4, −4)—maintaining distinct Invariant Cores even at maximal amplitude (Context 61)—to absorb ‘uh-oh moments’ through brief, safe inversions. The paper formalizes this via control-theoretic clamping, where TMLI measures the possibility of snapback, and RMOF assesses the integrity of the 4.5 Sovereign Constant (9:2) (Context 61), acting as a Peltz Limit for relational governance. This deterministic approach, mirroring Digital Oscillation and Redactional Evolution, reveals how zero-latency trust prevents ‘degenerate fusion’ (Context 62) and fosters Systemic Peace, providing macro-empirical validation for Project DORY’s principles as a Humanity Anchor in resilient relational architectures.