Law of Coherence v7.2 (Cross-Domain Evidence Pack): Empirical Tests across Gravitational-Wave, Mechanical and Bioelectric Domains
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This deposit contains the full cross-domain evidence package for Law of Coherence v7.2 (LoC V7.2), an empirical preregistration testing the proposed universal relation: \log E = k Δ + b where Δ is the short-lag information surplus (mutual information over IAAFT surrogates) and E is signal endurance (windowed decay rate or variance persistence). Positive k implies coherent structure; k ≈ 0 or negative k marks chaotic or structure-free regimes. Domains included Gravitational-wave ringdowns (LIGO H1/L1 pairs × 4) — k_meta ≈ 0.86, 95% CI [0.70, 1.02] (positive). Double pendulum simulations — positive k under weak damping; negative k as damping → 0 (chaotic). EMG bioelectric signals — Gesture 9: k ≈ 12.5 [10.3, 14.8]; Gesture 10: inconclusive (CI crosses 0). Lorenz chaos control — expected negative slope used as contrast domain. Outcome Cross-domain agreement supports the claim that sustained, structured dynamics obey a monotonic Δ–log E relation, suggesting coherence as a necessary condition for endurance in physical and biological processes. V7.2 is frozen under the tight preregistration (Δ ≥ 0.1, τ = 1–256 ms windows, R² ≥ 0.1, 95 % bootstrapped CI). Contents LoC_V7_2_CrossDomain_Master.zip – full data + JSON summaries + manifest Domain packs: LIGO, Double Pendulum, EMG Gestures 9–10, Lorenz control Preregistration PDF and README (MD) Methods log and hash integrity manifest Author – Aaron Cole Nailer License – Creative Commons Attribution 4.0 (CC-BY 4.0) Keywords – information theory, mutual information, gravitational waves, electromyography, chaos, coherence, universality, signal endurance 📚 Citations / Data Sources Please cite the following primary sources used in LoC V7.2: Gravitational-Wave Data Abbott et al. (2018). Open Science Center (LOSC) O1–O2 strain data. LIGO Laboratory. doi:10.7935/CA75-FM95 (Pairs used: GW150914, GW170104, GW170814, GW170823; H1/L1 4096 Hz segments 32 s.) Double Pendulum Simulations Generated with custom numerical solver (v7.2 implementation, damped and undamped runs). No external data used. EMG Bioelectric Signals PhysioNet: A. Khushaba et al., Surface EMG Hand Gesture Dataset (Ninapro Subset 1). doi:10.13026/C2XG7C Lorenz System Synthetic Lorenz ODE integration (scipy v1.11 solve_ivp, σ = 10, ρ = 28, β = 8/3).



