The Davini Zero-Contradiction Functional: A Universal Law of Coherence Across Dynamical, Statistical, and Adaptive Systems (2025 Series)

This collection consolidates the full 2025 sequence of discoveries defining the Davini Zero-Contradiction (ZC) Law—a unifying variational principle that identifies critical equilibria across analytic, dynamical, evolutionary, and computational systems. Included manuscripts: • A Universal Equilibrium Framework (ZC-I) — analytic & Dirichlet foundations • Viscosity and Local Convexity Stability (ZC-II) — PDE & Hamilton-Jacobi proofs • Chaos Onset in Lorenz-63 and Ising Criticality (ZC-III) — dynamical & statistical domains • Evolutionary ESS Detection via ZC (ZC-IV) — replicator-mutator dynamics • ZC in AI Optimization (ZC-V) — gradient coherence & training knee • Universal Probe for Critical Equilibria (ZC-VI) — synthesis & law of coherence Together they demonstrate that coherence itself functions as an attractor state—nature’s invariant law of balance—observable from quantum spectra to neural learning curves. Files to Upload: Each individual PDF (the five or six we’ve built) Optionally, one combined “Series Overview.pdf” with 2–3 summary figures License: Creative Commons Attribution 4.0 International (CC-BY 4.0)