Cross-Domain Validation of the Davini Zero-Contradiction Law (ZCₜ): 200+ Stability Tests Across Physical, Biological, and Engineered Systems

Overview This archive contains the complete validation suite and replication materials for the cross-domain evaluation of the Davini Zero-Contradiction Law (ZCₜ). The dataset includes over 200 independent tests across a wide range of physical, biological, and computational systems. Domains covered: Fusion and plasma dynamics Financial collapse prediction Biological signals (HRV, EEG) Climate dynamics Quantum transitions Engineered feedback systems Materials stability Abstract mathematical structures Metric Definition All tests were computed using the core formulation of the ZCₜ stability indicator, which quantifies local relative change as an early-warning signal for instability. A refined variant, ZCᴳ, uses the golden-ratio conjugate to enhance robustness near bifurcation zones. 1. Original formulation (~200 tests): ZC(t) = |x(t) - x(t-1)| / max(|x(t)|, |x(t-1)|) 2. Refined formulation ZC_t(t) = |x(t) - x(t-1)| / max(|x(t)|, |x(t-1)|, ε)ZC^G(t) = |x(t) - x(t-1)| / [max(|x(t)|, |x(t-1)|, ε) + φ] 2. where ε = 10⁻⁸ (numerical stabilizer) and φ = (1+√5)/2 (golden ratio) Summary Statistics Across 200+ tests: ∙ Type I (pre-transition rise): ~80 tests showing rise to 0.64 ± 0.08 before instability ∙ Type II (bounded stable): ~100 tests showing sustained low values (mean: 0.02 ± 0.01) ∙ Type III (saturated/null): ~20 tests showing saturation or no structure Golden-ratio refinement (ZC^G): ∙ Mean across all tests: 0.018 ± 0.012 ∙ Consistent attenuation of sustained divergence Replication All tests are fully reproducible. The archive includes: ∙ Raw time series data ∙ Complete implementation code (Python) ∙ Domain-specific preprocessing scripts ∙ Parameter files for synthetic systems ∙ Statistical analysis notebooks Related Publication This dataset supports the findings reported in: Hintsanen, A. (2025). A Cross-Domain Regularity in Normalized Incremental Divergence Near Instability Transitions. [Manuscript in preparation] License All methods, data, and code are freely available for academic and non-commercial research purposes. The zero-contradiction functional and its derivatives are the subject of patent applications (U.S. Provisional Application No. 63/895,977, filed October 2024; full application filed November 2024). Commercial applications require licensing. Contact Angelina [e-mail] Keywordsinstability detection, early warning signals, critical transitions, normalized divergence, dynamical systems, bifurcation detection, cross-domain validation, universal thresholdVersion1.0 (January 2026)