Structural Invariance of the Davini Zero-Contradiction Functional: Viscosity Stability, Convexity, and the Law of Coherence

Description / Abstract (you can paste this directly): This report extends the Davini Zero-Contradiction (ZC) framework by demonstrating structural invariance of the equilibrium under three independent analytic tests: sign-inversion, viscosity stability, and convexity. Using Dirichlet Λ(s, χ₅) and related functionals, the study shows that the ZC equilibrium at σ = ½ remains globally stable even when the contradiction functional is inverted, confirming it as a true attractor. Additional Hamilton–Jacobi viscosity analysis (∂σH ∂pH > 0) and local convexity tests further establish monotonic coupling and uniqueness of the equilibrium. Together, these findings demonstrate that coherence is not merely a minimum principle but a structural law — immune to adversarial inversion and perturbation. This release includes: Main manuscript: NC.Universal_Equilibrium__Structural_Invariance__and_Stability_Across_Nonlinear_Systems.pdf Supplementary notebooks and test results: Sign-Inversion Stability.pdf, Viscosity Stability.pdf, Convexity Confirmation.pdf This document complements manuscript CHA25-AR-02199 (submitted to Chaos*, AIP 2025) and provides extended analytic validation of sign-inversion and viscosity stability tests.* Related identifiers https://doi.org/10.5281/zenodo.17285131