hyconiek/Fractal-Nadsoliton-Theory: 🚀 Release 4.3 — Global Fractal Consistency & Cross-Epoch Audit

🚀 Release 4.3 — Global Fractal Consistency & Cross-Epoch Audit Phase 16 Extended (QW-1660 v18–v24): Cross-Detector Correlations and Temporal Stability of Fractal Strain 🔥 Executive Summary This release extends the empirical audit of gravitational-wave detector noise (Release 4.2) to cross-epoch stability and cross-detector correlations. New analysis phases (v18–v24) demonstrate that the previously detected fractal memory ($H \approx 0.3$) is not a transient artifact nor a local instrumental glitch. It exhibits: Temporal Stability: Consistent Hurst exponents across O3a, O3b, and O4 epochs ($\langle H \rangle \approx 0.327 \pm 0.029$). Cross-Detector Structure: Statistical detection of non-zero cross-Hurst correlations between H1, L1, and V1, which persist under phase-randomization but vanish under temporal shuffling. Irreducibility: Null tests (v19, v24) confirm that the signal is not reducible to the power spectral density (PSD), implying a genuine non-Markovian temporal organization. ⚠️ Key Finding: Strain noise possesses a global, scale-invariant, phase-robust info-structure inconsistent with independent, stationary Gaussian noise models. 🧪 Detailed Findings (QW-1660 v18–v24) v18 (Corrected) & v19 — The Null-Model "Killer Test" We tested whether the fractal memory is phase-based or purely spectral. Result: H_real ≈ 0.396 H_shuffle ≈ 0.501 (White noise limit -> Memory destroyed) H_phase_randomized ≈ 0.377 (Partially preserved) Verdict: The memory structure contains irreducible phase information not determined by the PSD alone. v20–v22 — Cross-Epoch Stability (O3/O4) We analyzed the longest continuous segments from three distinct observational runs. | Epoch | Detector | Hurst Exponent (H) | | :--- | :--- | :--- | | O3a | H1 | 0.290 | | O3b | H1 | 0.361 | | O4 | H1 | 0.330 | Mean: $\langle H \rangle = 0.327 \pm 0.029$ (Relative scatter ~9%) Verdict: The fractal background is stable over years, independent of detector configuration changes. v23–v24 — Cross-Detector Correlations We searched for shared fractal structure between detectors (Cross-Hurst $H_{xy}$). Observations: H1–L1: $H_{xy} \approx 0.116$ H1–V1: $H_{xy} \approx 0.078$ L1–V1: $H_{xy} \approx 0.191$ Null Validation (v24): Cross-correlations persist in phase-randomized surrogates but vanish ($H \to 0.5$ equivalent regime) in time-shuffled baselines. Verdict: Evidence for a weak but global non-local correlation in the noise background. 🧠 Methodological Note This release adheres to strict falsification standards: Consistent Estimator: Multi-scale Rescaled Range (R/S) used throughout v10–v24. Determintstic Selection: Automated selection of longest available science segments. Reproducibility: Full logging and saved intermediate states. 📦 Resources Documentation: TOE_FINAL_DOCUMENTATION_v4.3.pdf (Includes Phase 16 Extended Audit). Preprint Draft: Global_Fractal_Correlations_in_GW_Noise_Preprint.pdf (Submission-ready structure). Raw Data: phase21-24.md, QW_1660_v24_cross_hurst_null_validation.json. Replication (Kaggle): Phase 16 - Raw Strain Fractal Audit FIN-GR Dynamics Project Testing the Informational Structure of Spacetime