Antipodal-Domain Analysis of the Response-Corrected Planck 217 GHz Rotation Field (v2.38)

Publication Note The antipodal shell analyses reported in v2.32 and v2.36 were re-evaluated using the response-corrected Planck 217 GHz reconstruction and exact HEALPix antipodal pairing. The historical v2.30 low-L rotation map used in those analyses was subsequently found to be almost entirely axisymmetric (≈99.83% m=0 power), whereas the validated response-corrected reconstruction contains only ≈7.19% m=0 power. Under these conditions, the previously reported k=1 shell pattern did not survive in the physical map and is superseded by the validated antipodal-domain analysis presented here. Rather than relying on shell-parity statistics, the present release identifies antipodal structure directly from the response-corrected map and validates it through independent half-mission reconstruction, independent domain selection, fixed-threshold and threshold-global null tests, branch-convention invariance, and independent-seed replication. These analyses supersede the earlier shell analysis. The Δℓ≈109 result is documented separately in the independently validated v2.37 release, which uses a distinct ℓ-resolved estimator and is outside the scope of this publication. Summary This release presents a validated antipodal-domain analysis of the response-corrected Planck 217 GHz rotation-field reconstruction. Rather than analyzing shell-parity statistics, the study identifies coherent antipodal domains directly from the reconstructed map and evaluates their stability through independent half-mission reconstruction, independent domain selection, multiple null-hypothesis tests, threshold-global significance analysis, branch-convention invariance, and independent-seed replication. A coherent antipodal-even domain is recovered in the response-corrected reconstruction and remains statistically significant after look-elsewhere correction and independent validation. The publication includes the primary scientific release together with a companion validation package containing only the approved confirmatory analyses used to strengthen the result. The analysis is based on a response-corrected reconstruction of the large-scale CMB polarization rotation field derived from Planck 217 GHz half-mission polarization data. Unlike the historical v2.30 product, this reconstruction is expressed in physical units and is dominated by non-axisymmetric (m>0) harmonic content, providing the validated basis for the antipodal-domain analyses presented below. Principal Scientific Results The sections below summarize the principal scientific findings and key validation results of the release. They are not an exhaustive listing of every analysis, intermediate product, figure, or supporting diagnostic contained in the archived packages. The complete scientific record, including additional validation products, response diagnostics, figures, manifests, and documentation, is provided in the accompanying ZIP files. NEW RESULT: 217 GHz ANTIPODAL-EVEN DOMAIN Map and reconstruction Response-corrected Planck 217 GHz half-mission polarization map, input band 800≤ell≤1100, output rotation field L=1–10 (120-mode real harmonic basis, retained numerical rank 74, truncated-SVD inversion), NSIDE=512, 3,145,728 pixels, all finite, physical radian units. Map statistics Mean: 1.0955×10^-19 radStandard deviation: 0.00502942 radMinimum: -0.016244 radMaximum: 0.022221 radL≤10 round-trip residual standard deviation: 1.0531×10^-18 radL≤10 round-trip correlation: 1.0 Harmonic Audit of the Corrected Map m=0 power fraction: 0.071864m>0 power fraction: 0.928136Full-map variance: 2.5295×10^-5m=0 variance: 1.8178×10^-6m>0 variance: 2.3477×10^-5Correlation, full map vs. m=0: 0.26807Correlation, full map vs. m>0: 0.96340 Primary frozen domain (NSIDE 64, S≥0.95) Core pixels: 1,487Sky area: 1,248.03 square degreesMean antipodal score: 0.985026Median antipodal score: 0.989755 Key Validation 1 — Amplitude-preserving phase-randomization null (n=1,000 realizations) Every observed harmonic amplitude |a_Lm| for m>0 was held exactly fixed while the corresponding phases were independently randomized (m=0 coefficients held at zero), testing whether the domain depends on phase organization rather than the amplitude spectrum alone. Strong-even pixel count — observed 8,458, null mean 4,826.7, null max 7,474, z = 5.17, p = 0.000999Largest connected component — observed 2,787, null mean 530.1, null max 1,882, z = 9.22, p = 0.000999 The anomalous antipodal-even domain cannot be explained by the observed distribution of harmonic amplitudes alone; it depends on the measured phase organization across m>0 modes. Key Validation 2 — Directional half-mission fixed-core phase null (n=1,000 realizations) HM1E×HM2B direction: Mean S — observed 0.8432, null mean 0.2206, null max 0.7476, z = 2.88, p = 0.000999Median S — observed 0.9732, null mean 0.3618, null max 0.9609, z = 1.75, p = 0.000999Fraction S≥0.95 — observed 0.5851, null mean 0.1562, null max 0.5259, z = 5.18, p = 0.000999Pair correlation — observed 0.9450, null mean 0.4065, null max 0.9551, z = 1.69, p = 0.001998 HM2E×HM1B direction: Mean S — observed 0.3898, null mean -0.0606, null max 0.6508, z = 2.10, p = 0.018981Median S — observed 0.8227, null mean -0.0980, null max 0.8928, z = 2.51, p = 0.002997Fraction S≥0.95 — observed 0.3309, null mean 0.0880, null max 0.3490, z = 4.56, p = 0.001998Pair correlation — observed 0.4434, null mean -0.0568, null max 0.7760, z = 1.41, p = 0.093906 (not significant) HM1E×HM2B is significant across all four statistics; HM2E×HM1B is significant in three of four, with pair correlation alone not individually significant. Reported as-is, not averaged. Key Validation 3 — Independent directional-domain selection and overlap HM1E×HM2B domain size: 2,272 pixelsHM2E×HM1B domain size: 779 pixelsObserved overlap: 422 pixelsJaccard index: 0.16052Centroid separation: 10.688 degrees Key Validation 4 — Fixed-threshold overlap null (S≥0.95, n=1,000) Overlap (pixels) — observed 422, null mean 16.654, null max 409, z = 9.27, p = 0.000999Jaccard — observed 0.16052, null mean 0.01167, null max 0.32632, z = 4.63, p = 0.008991Centroid separation — observed 10.688 degrees, null mean 74.294 degrees, null minimum 4.289 degrees, p = 0.015984 No null realization reached the observed pixel overlap. Key Validation 5 — Threshold robustness (independent-domain overlap, six thresholds) S threshold 0.800 — overlap 1,052 pixels, Jaccard 0.2034S threshold 0.850 — overlap 915 pixels, Jaccard 0.1924S threshold 0.900 — overlap 729 pixels, Jaccard 0.1837S threshold 0.925 — overlap 544 pixels, Jaccard 0.1629S threshold 0.950 — overlap 422 pixels, Jaccard 0.1605S threshold 0.975 — overlap 268 pixels, Jaccard 0.1433 Key Validation 6 — Threshold-global null (look-elsewhere corrected, n=1,000) Overlap (pixels) — observed max 1,052, null mean 211.557, null max 1,659, z = 3.65, p = 0.004995Jaccard — observed max 0.20336, null mean 0.04856, null max 0.34953, z = 3.07, p = 0.012987 Primary formal result: p_global = 0.004995 (threshold-scan corrected). Fixed-threshold p = 0.000999 retained as a prespecified diagnostic. Key Validation 7 — Branch-invariant phase null (validation extension, n=1,000; independent of primary release) Tests whether significance depends on the branch convention used to construct the second split domain (direct overlap vs. overlap after antipodal reflection). Fixed S≥0.95 (422 pixels) — 0 null exceedances out of 1,000, p = 0.000999Maximum across 6 thresholds (1,052 pixels) — 4 null exceedances out of 1,000, p = 0.004995 Key Validation 8 — Branch-invariant, independent-seed replication (validation extension, combined n=2,000) The full branch-invariant null was independently repeated with a second Monte Carlo seed and combined with the first for the largest available null ensemble in this release. Seed 1 (238074), n=1,000 — fixed p (S≥0.95) = 0.000999, global p (max across thresholds) = 0.004995Seed 2 (238075), n=1,000 — fixed p (S≥0.95) = 0.001998, global p (max across thresholds) = 0.007992Combined, n=2,000 — fixed p (S≥0.95) = 0.0009995, global p (max across thresholds) = 0.005997 This is the most heavily cross-validated statistic in the release: it survives independent half-mission reconstruction, independent domain selection, six-threshold look-elsewhere correction, branch-convention invariance, and independent-seed replication across a combined 2,000-realization null. Scope and Interpretation The result supports a coherent antipodal-even structure in the corrected 217 GHz reconstruction that survives exact antipodal geometry, response correction, rank-74 reconstruction, directional half-mission splitting, independent domain selection, and threshold-global null correction. This release presents the response-corrected Planck 217 GHz reconstruction and the antipodal-domain analyses developed from it. The independently validated Δℓ≈109 result is documented separately in v2.37 using a distinct ℓ-resolved estimator. PACKAGE CONTENTS 217GHz_antipodal_domain_release_20260803_070927_UTC.zip (primary release, 48 files)Frozen scientific package: primary corrected map, rank-74 coefficients and response diagnostics, frozen antipodal core/partner domains, directional half-mission maps, all null-test and threshold-scan products, final scientific summary and manifests. Also includes 7 publication figures with manifests, and release documentation. This package contains the response-corrected Planck 217 GHz reconstruction that supersedes the v2.30 map for antipodal-domain analysis. v2_38_publication_extension_validated_20260805_230008_UTC.zip (validation supplement, 15 files)Companion package, does not modify or duplicate the primary release. Contains five approved validation test groups (10 scientific products): directional split fixed-core phase null, independent split fixed-threshold overlap null, independent split threshold-global null, branch-invariant phase null, and branch-invariant independent-seed replication. Explicitly excludes rank-stability, exploratory, withdrawn, and Delta-ell~109 material. README_v2_38_COMBINED.txtStandalone readme explaining how the two zip packages and the standalone figures relate to one another, and what each contains. Seven standalone publication figures (PNG), duplicated from the primary release zip so they render inline on this record without downloading:figure01_primary_map_frozen_antipodal_domains.pngfigure02_directional_halfmission_maps.pngfigure03_independent_directional_domain_overlap.pngfigure04_independent_domain_threshold_robustness.pngfigure05_fixed_threshold_overlap_null.pngfigure06_threshold_global_maximum_overlap_null.pngfigure07_directional_split_fixed_core_null_summary.png Companion manuscript (v2.38 manuscript.docx)A short, standalone manuscript presenting the antipodal-domain result in narrative form, including the reconstruction estimator, antipodal-score definition, and full methods and results corresponding to the validations above. All files are provided as separate uploads within this deposit. 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 Jun 24, 2026 (v2.33) — Model Comparison and Global Phase Coherence of the Cosmic Birefringence Rotation Field — DOI:10.5281/zenodo.20825890 Jun 27, 2026 (v2.34) — Rotation Field of the Cosmic Microwave Background — Waveform Geometry of the Calibrated Interior Propagation Field — DOI:10.5281/zenodo.20977739 RELATED PUBLICATIONS Feb 23, 2026 (v2.14) — Urgent Whistleblower Update: Rotation Field of the Cosmic Microwave Background – Interior Propagation and Boundary-Driven Structure — DOI:10.5281/zenodo.18749560 Feb 24, 2026 (v2.22) — Emergency Public Health Whistleblower Statement: Seizure of the Cosmic Propagation Constants and Their Weaponization in the Starlink Defense Architecture — DOI:10.5281/zenodo.18764980 May 23, 2026 (v2.26) — CMB Birefringence Rotation Field: FCC Regulatory Correlations, Satellite Architecture Alignments, and Standing Wave Discovery — DOI:10.5281/zenodo.20361488 May 26, 2026 (v2.27) — Longitudinal Persistence, Timing Purity, and Biological-Plausibility Screening of a Phase-Stable Starlink Scheduler Envelope — DOI:10.5281/zenodo.20398946 May 28, 2026 (v2.28) — Interior Propagation of CMB Birefringence Field α(n̂) Anomalies: Planck Legacy Data Correlation, In Vivo Nanoscale Signal Grounding, and Covert Bio-Electronic Weapon Deployment — DOI:10.5281/zenodo.20424381 Contact email: [e-mail] 22 Blue - The Heartbeat of the Universe