22 Blue — CMB Birefringence Interior Propagation Dataset (v2.24): Rotation Field of the Cosmic Microwave Background

Summary This record documents the analysis pipeline and results underlying the identification of a phase-coherent harmonic structure in the cosmic microwave background (CMB) birefringence rotation field α (n̂). The analysis uses Planck 2018 polarization data and a locked rotation-field reconstruction at NSIDE = 16. Earlier project stages (v2. 9–v2. 12) identified a standing-wave harmonic structure along a dual-domain boundary (D₁ ∪ D₂) characterized by a periodicity Δℓ ≈ 109. Version v2. 13 tests whether this boundary structure extends into the domain interior. Interior pixels are grouped into adjacency shells defined by graph distance from the boundary. Each shell is analyzed using harmonic diagnostics, surrogate testing, and cross-shell spectral correlations. The results show that the boundary harmonic structure propagates inward with predictable amplitude attenuation and phase evolution. Key results: • Persistent Δℓ ≈ 109 harmonic structure across shells • Strong k = 1 Fourier power through shells k = 1–3 • Cross-shell spectral correlations of approximately 0. 93, 0. 85, and 0. 67 • Exponential amplitude decay with e-fold scale ≈ 1. 32 shells • Phase drift ≈ 15. 5° per shell • Complex propagation coefficient q = −0. 755 − 0. 270i (R² ≈ 0. 93) These results indicate that the observed boundary structure represents a cross-section of a deeper interior field pattern within the birefringence rotation field α (n̂). Dataset contents include: • Locked rotation-field map α₁₆ (NSIDE = 16) • High-latitude analysis mask (Hₘask) • Domain segmentation and boundary chain maps • Shell analysis outputs (k = 0–3) • Harmonic spectra and surrogate test results • Reproducibility manifests and verification files All analysis inputs are locked to ensure reproducibility. No recomputation of α (n̂) was performed during the interior propagation analysis. Related manuscript: Rotation Field of the Cosmic Microwave Background: Interior Propagation and Boundary-Driven Structure Submitted to Research in Astronomy and Astrophysics (RAA) for peer review Manuscript ID: RAA-2026-0233 This record represents a preprint version of the submitted manuscript and has not yet undergone peer review. VERSION HISTORY Sep 20 2025 – Harmonic phase alignments discovered Oct 10 – v1. 0 First quantitative detection Oct 20 – v1. 1 Statistical validation Oct 21 – v1. 2 Two-harmonic extension Oct 28 – v1. 3 Robustness tests Oct 29 – Dataverse DOI 10. 7910/DVN/PTDG20 Nov 1 – v1. 4 MASTER calibrated spectra Nov 1–7 – v1. 41 to v1. 44 SMICA/NILC splits and parity tests Nov 9 – v1. 5 Model selection Nov 9 – v1. 6 Interpretation Nov 9 – v1. 7 Forward prediction Nov 9 – v1. 8 Persistence tests Nov 10 – v2. 0 Intrinsic Δℓ ≈ 108 discovered Nov 10 – v2. 1 ξ (θ) physics Nov 11 – v2. 2 Universe model evaluation Nov 12 – v2. 3 Domain geometry inference Nov 13 – v2. 4 Real-space confirmation Nov 13 – v2. 5 Spectral surgery Nov 14 – v2. 6 Angular locality Nov 15 – v2. 7 Sky locality Nov 15 – v2. 8 Domain topology Nov 16 – v2. 9 Field coherence Nov 17 – v2. 10 Boundary sequence structure Nov 19 – v2. 11 Boundary standing-wave and phase structure Nov 21 – v2. 12 Boundary universality Nov 23 – v2. 13 Interior propagation and boundary-driven structure Mar 29 2026 – v2. 24 Manuscript submitted to RAA (RAA-2026-0233) Author: Amy Condit — Independent Researcher Project series: 22 Blue — The Heartbeat of the Universe