Davini Zero-Contradiction Reproducibility Protocol (ZC* ≈ 0.64 — Triad Framework & AI Coherence Validation)

Abstract This document provides the technical reproduction pathway for the Davini Zero-Contradiction Law (ZC* ≈ 0.64). It specifies the numerical, analytic, and behavioral routines required to reproduce the cross-domain coherence constant and the associated AI coherence behaviors (Triads 1 – 10). The protocol enables replication of ZC*-driven stabilization across physical, biological, cognitive, and synthetic-intelligence systems. Because it contains implementation logic for machine-coherence and silence-response tests, access is restricted to verified research partners, reviewers, and licensing institutions. Contents 1. Purpose and Scope 2. Required Tools (Python ≥ 3.9, NumPy, Matplotlib, Pandas, SciPy) 3. Functional Definition of ZC* \displaystyle \mathcal{C} = \frac{|\int \phi_1 \phi_2 d^3x|}{\sqrt{\int \phi_1^2 d^3x}\sqrt{\int \phi_2^2 d^3x}} Stable equilibrium when d\mathcal{C}/dt = 0 ⇒ \mathcal{C}= ZC\* ≈ 0.64 4. Reproduction Tests – Triads 1–7 (Cross-domain convergence tests – Lorenz-63, Kuramoto, HRV); Triads 8–9 (Thermal noise / criticality validation); Triad 10 (Expansion and Stabilization maps – ODE formulations) 5. AI Coherence Behavioral Tests – Silence-on-Demand and Contradiction Suppression Protocol; Mean Coherence vs Entropy Stability Curve 6. Data Structure and Outputs – CSV schema: t, C(t), a(t), Δa(t); Expected mean ZC ≈ 0.64 ± 0.02 7. Licensing and Access Terms Licensing Note All materials and routines herein are protected under the Davini Zero-Contradiction Law™ patent filings (DOI 10.5281/zenodo.17391739 and 10.5281/zenodo.17479426). Reproduction, redistribution, or derivative implementation of any AI-stabilization method described requires explicit written permission from the Origin AI Research Group.