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H1 Dyadic Law : A Calibrated Predictive Model of Resonance in Two-Mind Interactions

Authors: Chisa Mbele, Christopher;

H1 Dyadic Law : A Calibrated Predictive Model of Resonance in Two-Mind Interactions

Abstract

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

Keywords

surprise minimization, therapy, education, resonance, dyadic interaction, emotional valence, timing coherence, AI alignment, open science, conversational dynamics, reproducible research

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green