Scale-Invariant Resonant Cores in Dyadic Surprise Minimization: Generalization of the H1 Law from Pairwise to Collective Regimes

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Authors: Chisa Mbele, Christopher
Cited by: 0

Abstract

We extend the empirically calibrated H1 Dyadic Law (v2.3.1) — a predictive toy model of resonance in two-mind interactions via surprise minimization (∆F) — to domain-agnostic collective regimes. Large-scale simulations (10 million dyads) reveal a striking invariant: approximately 4.6% of realizations achieve ultra-low ∆F ≤ 0.0015 (the Mbele resonant core, φ_R ≈ 0.046), independent of ensemble size, collective gating, or OFF-state ablation. This resonant core fraction emerges intrinsically from the pairwise dyadic kernel.

Fields of Study & Subjects

Quantum Mechanics and Applications Cold Fusion and Nuclear Reactions Complex Systems and Time Series Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 February 2026
Language
EN
Document type
Preprint