Rotation Field of the Cosmic Microwave Background — Phase Model Validation (v1.43)

Summary Phase Model Validation (v1.43) This dataset archives the validation stage of the Phase Model analysis of the CMB polarization rotation field α(ℓ). The goal of this release is focused and audit-oriented: Confirm that the large-scale parity anisotropy in the rotation field α(ℓ) is real and does not depend on calibration, transfer choice, or MASTER normalization. A locked α(n̂) map (units: radians) and a fixed apodized polarization mask (NSIDE=512, f_sky≈0.467) are used to compute MASTER-corrected C_L^{αα} for L = 2…10 (dipole removed). The scalar parity statistic is: T_obs = Σ_even C_L^{αα} − Σ_odd C_L^{αα} 165,000 masked null simulations using identical mask, apodization, pixel window, and MASTER geometry yield: exceedances = 0 / 165,000 empirical add-one estimate: p = 6.06 × 10⁻⁶ Gaussian-equivalent one-sided significance: 4.38σ Calibration-independence is demonstrated by constructing a simulation-derived MASTER coupling matrix M_LL′ (L=2…10), inverting it, and applying it to the observed pseudo-spectrum. The scale-invariant parity statistic A = (E−O)/(E+O) and a scaled T match the MASTER result to ≤ 0.26% relative difference, showing that the detection does not depend on calibration or transfer construction. No physical interpretation (e.g., axion or φ–γ coupling) is assumed in this version. This is a validation-only release. Contents: • phase_model_v1_release_20251108_201510.zip (full reproducibility archive) • README_v1.43.md (methods and reproduction instructions) Reproducibility archive contains: • null_ensemble_lowL_.npz (array of T_null values only) • simulation-derived MASTER coupling matrix M_hat_.npz • parity_minimaster_*.json (numeric comparison report) • locked α-map (SHA-256 recorded) • polarization mask (SHA-256 recorded) • MANIFEST with SHA-256 of all files • run-all notebook for reproduction This release is part of an iterative research series in which analysis methods, masks, and calibration procedures were progressively refined. Later releases establish the physical calibration of the α(n) field. PUBLICATION RECORD PREDECESSOR PUBLICATION (Separate Record) Sep 20, 2025 (v1.0) — Harmonic Phase Alignments in Planck 2018 CMB — DOI:10.5281/zenodo.17167268 MAIN RESEARCH SERIES Concept DOI:10.5281/zenodo.17317397 Oct 10, 2025 (v1.0) — Scale-Dependent Anisotropic Birefringence: Initial Detection — DOI:10.5281/zenodo.17317398 Oct 20, 2025 (v1.1) — Scale-Dependent Anisotropic Birefringence: Validation Dataset — DOI:10.5281/zenodo.17396428 Oct 21, 2025 (v1.2) — Two-Harmonic Extension — DOI:10.5281/zenodo.17410764 Oct 28, 2025 (v1.3) — Two-Harmonic Dipole Verification — DOI:10.5281/zenodo.17468988 Nov 1, 2025 (v1.4) — MASTER-Calibrated Dipole — DOI:10.5281/zenodo.17500791 Nov 1, 2025 (v1.41) — Extended MASTER Calibration and Robustness — DOI:10.5281/zenodo.17508908 Nov 7, 2025 (v1.42) — Dependence-Aware Joint Validation — DOI:10.5281/zenodo.17553829 Nov 8, 2025 (v1.43) — Phase Model Validation — DOI:10.5281/zenodo.17561313 Nov 8, 2025 (v1.44) — Axis + Frequency + Half-Mission Validation — DOI:10.5281/zenodo.17561768 Nov 9, 2025 (v1.5) — Multipole Structure and Model Selection — DOI:10.5281/zenodo.17562965 Nov 9, 2025 (v1.6) — Phenomenology and Physical Interpretation — DOI:10.5281/zenodo.17566197 Nov 9, 2025 (v1.7) — Prediction and Experiment Overlays — DOI:10.5281/zenodo.17566870 Nov 9, 2025 (v1.8) — Model Rejection and Δℓ Persistence — DOI:10.5281/zenodo.17567241 Nov 10, 2025 (v2.0) — Intrinsic Periodicity in ℓ-Space — DOI:10.5281/zenodo.17574048 Nov 10, 2025 (v2.1) — Physical Origin of Δℓ Modulation — DOI:10.5281/zenodo.17577086 Nov 11, 2025 (v2.2) — Universe-Model Evaluation — DOI:10.5281/zenodo.17585419 Nov 12, 2025 (v2.3) — Domain Geometry and Topological Inference — DOI:10.5281/zenodo.17594157 Nov 13, 2025 (v2.4) — Real-Space Correlation of the Birefringence Field — DOI:10.5281/zenodo.17597537 Nov 13, 2025 (v2.5) — Spectral Surgery on the Δℓ ≈ 109 Harmonic — DOI:10.5281/zenodo.17604982 Nov 14, 2025 (v2.6) — Angular Locality of the Δℓ = 109 Standing Wave — DOI:10.5281/zenodo.17613348 Nov 15, 2025 (v2.7) — Sky-Local Origin of the Δℓ ≈ 109 Standing Wave — DOI:10.5281/zenodo.17620029 Nov 15, 2025 (v2.8) — Domain Topology of the Δℓ ≈ 109 Standing Wave — DOI:10.5281/zenodo.17620605 Nov 16, 2025 (v2.9) — Dual-Domain Coherence and Boundary Geometry — DOI:10.5281/zenodo.17621871 Nov 17, 2025 (v2.10) — Boundary Sequence Structure on the Dual-Domain Loop — DOI:10.5281/zenodo.17635811 Nov 19, 2025 (v2.11) — Boundary Standing-Wave and Phase-Structure Analysis — DOI:10.5281/zenodo.17648033 Nov 21, 2025 (v2.12) — Boundary Universality and Standing-Wave Fingerprints — DOI:10.5281/zenodo.17676377 Nov 23, 2025 (v2.13) — Interior Propagation and Boundary-Driven Structure — DOI:10.5281/zenodo.17693540 Jun 18, 2026 (v2.29) — Rotation Field of the Cosmic Microwave Background — Interior Propagation Audit & Harmonic Normalization — DOI:10.5281/zenodo.20753037 Jun 19, 2026 (v2.30) — Calibrated Interior Propagation Validation — DOI: 10.5281/zenodo.20755330 Jun 20, 2026 (v2.31) — Rotation Field of the Cosmic Microwave Background — Physical Origin of Boundary-to-Interior Propagation — DOI: 10.5281/zenodo.20777435 Jun 21, 2026 (v2.32) — Rotation Field of the Cosmic Microwave Background — Antipodal Specificity, Boundary Ordering, and Cross-Scale Spectral Organization — DOI: 10.5281/zenodo.20787307 22 Blue - The Heartbeat of the Universe