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

Key Points

• This research aims to extend the H1 Dyadic Law to explore resonance in collective interactions through surprise minimization.
• Conducted large-scale simulations with 10 million dyads.
• Examined the relationship between ensemble size and surprise minimization.
• Analyzed the effects of collective gating and OFF-state ablation.
• Approximately 4.6% of realizations achieved ultra-low surprise minimization (∆F ≤ 0.0015).
• The Mbele resonant core fraction was found to be φ_R ≈ 0.046.
• The core fraction remained stable regardless of varying ensemble sizes.