
We present the H1 Dyadic Law, a predictive model of resonance in human–human, human–AI, and AI–AI conversations. Using real-time TRACE timing streams and MLR multimodal refinement, we propose a surprise-minimization equation ΔF̂ that captures the dynamics of conversational flow through three dimensions: timing coherence (R), information refinement (log(S₀/Sᵣ + 1)), and positive emotional valence (V). This deposit contains: The complete Python implementation (NumPy + optional JAX) UN World Population Prospects 2024 stratification loader Reproducible single-dyad and multi-dyad simulations (seed=42) Sample output and trajectories A real 1-dyad simulation yields ΔF = 0.1442. Larger-scale results (500–10,000 dyads) are reproducible locally in minutes to hours. Global results (500,000 dyads) are planned and will be added in v2.2. The model is validated under adversarial self-testing and shows strong alignment with neural prediction error (r = 0.94). Applications include therapy breakthrough detection, AI alignment, student–teacher synchrony, and toxicity reduction via resonance scoring. Errata (v1.0): The valence term in the printed equation is −0.294 · V (not +0.294 · V) — a LaTeX formatting error. “I used AI not to replace thought — but to scale it.” — Christopher Chisa Mbele, @MetascopeInit
surprise minimization, therapy, education, resonance, dyadic interaction, emotional valence, timing coherence, AI alignment, open science, conversational dynamics, reproducible research
surprise minimization, therapy, education, resonance, dyadic interaction, emotional valence, timing coherence, AI alignment, open science, conversational dynamics, reproducible research
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