Rotation Field of the Cosmic Microwave Background — Axis + Frequency + Half-Mission Validation (v1.44)
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Summary This release extends the prior validation of the CMB polarization rotation field α(ℓ) by testing whether the anisotropic (directional) signal remains stable under all transformations external to the rotation-field reconstruction: • different component–separation pipelines (SMICA, NILC)• different frequency channels (Planck 100 / 143 / 217 GHz)• independent detector splits (Half-Mission 1, Half-Mission 2, and HM× cross-maps) No new α-map is generated in this version.α(n̂) is not recomputed — the exact same locked low-ℓ FITS file from v1.43 is used unchanged. This version does not alter the statistical detection from v1.43.It only tests whether the anisotropy remains consistent when the data source changes. What is held fixed in v1.44 • Locked α(n̂) FITS map (dipole removed, low-ℓ structure) — identical file as v1.43 • Apodized polarization mask (NSIDE = 512, f_sky ≈ 0.467) • ℓ bandpass: L = 2…10 • Parity statistic from v1.43 (p = 6.06 × 10⁻⁶, 165,000 null simulations) All input files are hash-verified (SHA-256). α(n̂) is not recomputed — only validated. Results (v1.44) • The best-fit axis of α(n̂) is stable under bootstrap resampling. • The parity asymmetry A = (E − O) / (E + O) remains consistently high for: – SMICA / NILC – 100 / 143 / 217 GHz – Half-Mission 1, Half-Mission 2, and HM× cross-maps (HM× suppresses noise bias) • The anisotropic rotation field remains stable under: – component-separation method – frequency channel – detector splitting Axis proximity to other large-scale CMB directions (dipole, hemispherical asymmetry, quadrupole–octopole) is provided for reference only. No joint alignment significance is claimed. v1.44 does not change the empirical p-value from v1.43. Reproduction instructions (minimal) 1. Download the attached archive (`v1_44_staging_…zip`).2. Open: `run_v144_axis_frequency_validation.ipynb`3. Run cells sequentially — outputs are written into timestamped directories. Dependencies: healpy, numpy, matplotlib, astropy `requirements.txt` included. Archive contents • Summary figure (axis + frequency + half-mission validation) • CSV + JSON parity tables (all frequency and HM splits) • Bootstrap uncertainty tables • MANIFEST with SHA-256 for every file • Timestamped output directories • README_v1.44.txt The locked α-map and mask are stored in v1.43, not duplicated here, to prevent version confusion. PUBLICATION RECORD PREDECESSOR PUBLICATION (separate record)1. Sep 20, 2025 (v1.0) -- Harmonic Phase Alignments in Planck 2018 CMB -- DOI:10.5281/zenodo.17167268 MAIN RESEARCH SERIESConcept DOI:10.5281/zenodo.173173972. Oct 10, 2025 (v1.0) -- Scale-Dependent Anisotropic Birefringence: Initial Detection -- DOI:10.5281/zenodo.173173983. Oct 20, 2025 (v1.1) -- Scale-Dependent Anisotropic Birefringence: Validation Dataset -- DOI:10.5281/zenodo.173964284. Oct 21, 2025 (v1.2) -- Two-Harmonic Extension -- DOI:10.5281/zenodo.174107645. Oct 28, 2025 (v1.3) -- Two-Harmonic Dipole Verification -- DOI:10.5281/zenodo.174689886. Nov 1, 2025 (v1.4) -- MASTER-Calibrated Dipole -- DOI:10.5281/zenodo.175007917. Nov 1, 2025 (v1.41) -- Extended MASTER Calibration and Robustness -- DOI:10.5281/zenodo.175089088. Nov 7, 2025 (v1.42) -- Dependence-Aware Joint Validation -- DOI:10.5281/zenodo.175538299. Nov 8, 2025 (v1.43) -- Phase Model Validation -- DOI:10.5281/zenodo.1756131310. Nov 8, 2025 (v1.44) -- Axis + Frequency + Half-Mission Validation -- DOI:10.5281/zenodo.1756176811. Nov 9, 2025 (v1.5) -- Multipole Structure and Model Selection -- DOI:10.5281/zenodo.1756296512. Nov 9, 2025 (v1.6) -- Phenomenology and Physical Interpretation -- DOI:10.5281/zenodo.1756619713. Nov 9, 2025 (v1.7) -- Prediction and Experiment Overlays -- DOI:10.5281/zenodo.1756687014. Nov 9, 2025 (v1.8) -- Model Rejection and Delta-l Persistence -- DOI:10.5281/zenodo.1756724115. Nov 10, 2025 (v2.0) -- Intrinsic Periodicity in l-space -- DOI:10.5281/zenodo.1757404816. Nov 10, 2025 (v2.1) -- Physical Origin of Delta-l Modulation -- DOI:10.5281/zenodo.1757708617. Nov 11, 2025 (v2.2) -- Universe-Model Evaluation -- DOI:10.5281/zenodo.1758541918. Nov 12, 2025 (v2.3) -- Domain Geometry and Topological Inference -- DOI:10.5281/zenodo.1759415719. Nov 13, 2025 (v2.4) -- Real-Space Correlation of Birefringence Field -- DOI:10.5281/zenodo.1759753720. Nov 13, 2025 (v2.5) -- Spectral Surgery on Delta-l ~109 Harmonic -- DOI:10.5281/zenodo.1760498221. Nov 14, 2025 (v2.6) -- Angular Locality of Delta-l = 109 Standing Wave -- DOI:10.5281/zenodo.1761334822. Nov 15, 2025 (v2.7) -- Sky-Local Origin of Delta-l ~109 Standing Wave -- DOI:10.5281/zenodo.1762002923. Nov 15, 2025 (v2.8) -- Domain Topology of Delta-l ~109 Standing Wave -- DOI:10.5281/zenodo.1762060524. Nov 16, 2025 (v2.9) -- Dual-Domain Coherence and Boundary Geometry -- DOI:10.5281/zenodo.1762187125. Nov 17, 2025 (v2.10) -- Boundary Sequence Structure on Dual-Domain Loop -- DOI:10.5281/zenodo.1763581126. Nov 19, 2025 (v2.11) -- Boundary Standing-Wave and Phase-Structure Analysis -- DOI:10.5281/zenodo.1764803327. Nov 21, 2025 (v2.12) -- Boundary Universality and Standing-Wave Fingerprints -- DOI:10.5281/zenodo.1767637728. Nov 23, 2025 (v2.13) -- Interior Propagation and Boundary-Driven Structure -- DOI:10.5281/zenodo.17693540 Contact email: 22blue.research@gmail.com 22 Blue - The Heartbeat of the Universe



