DOI: 10.5281/zenodo.17574048
title: Rotation Field of the Cosmic Microwave Background — Intrinsic Periodicity in ℓ-space (v2.0) Part of the "22 Blue — The Heartbeat of the Universe" research archive

description: Summary

This dataset (v2.0) isolates the intrinsic periodic structure in the CMB rotation field α(n̂), using the locked rotation map derived from Planck 2018 polarization data.

The goal of v2.0 is not to re-detect birefringence, but to determine the origin of the periodic structure observed in Cℓ(αα) and classify whether it is physical or an analysis artifact.

All analysis is performed on validated rotation field outputs from v1.0–v1.8. No recomputation from Q/U maps is performed, and all inputs are SHA-256 hash-locked.

LOCKED INPUTS (read-only, inherited from prior versions)

α(n̂) rotation field (SMICA/NILC consistent, MASTER-calibrated) — v1.4Dipole + traceless quadrupole model — v1.5Amplitude + deg/rad conversions — v1.6Harmonic persistence / model rejection — v1.8

METHOD (Δℓ-origin pipeline introduced in v2.0)

Stage A: Finite multipole subtraction (remove ℓ ≤ Lcut)Tests whether periodicity is caused by leakage of low-ℓ power.

Stage B: Mask apodization (0° to 3°)Tests whether periodicity is a pseudo-Cl mask artifact.

Stage C: Spatial localization (N/S and E/W hemispheres)Tests whether periodicity is global or directional.

Stage D: Model identification (AIC / BIC / AICc)Three models are compared:(1) A sin(2π ℓ / Δℓ + φ) + C(2) A sin(2π ℓ / Δℓ + φ) exp(−ℓ / ℓ_d) + C     ← best model (damped sinusoid)(3) Chirped sinusoid (Δℓ varies slowly with ℓ)Correct parameter counting used: k = 4, 5, 5 respectively.

RESULTS

Two periodic features were identified and classified:

Intrinsic periodicity: Δℓ ≈ 108 (± bootstrap CI)• Persists under apodization, finite-ℓ subtraction, and hemisphere tests• Behavior is global, not directional• Best model: damped sinusoid in harmonic space

Artifact periodicity: Δℓ ≈ 455• Appears only when very low multipoles (ℓ ≤ 4) are not removed• Disappears after removing those modes• Interpretation: low-ℓ leakage / mode coupling artifact

Key discovery of v2.0:The CMB rotation field contains a global damped sinusoidal structure in harmonic space with Δℓ ≈ 108.

CONSERVATIVE CLAIM

This dataset makes an empirical claim:The intrinsic periodicity in α(ℓ) is best modeled by a damped sinusoid with Δℓ ≈ 108.

This dataset does not propose a physical mechanism for the sinusoid. It reports the empirical behavior of the validated rotation field under controlled tests.

FILES INCLUDED

• README for v2.0• JSON summaries (pipeline, uncertainty, model selection)• CSV tables (Δℓ vs Lcut, hemisphere Δℓ and amplitude)• PNG figures (periodograms, sinusoid fit, hemisphere comparison)• SHA-256 manifest

Large FITS maps are packaged separately to keep core upload lightweight.

VERSION HISTORY (22 Blue dataset series)

Separate publication — Sep 20, 2025• Evidence for Harmonic Phase Alignments in Planck 2018 CMB Polarization Data (Δℓ ≈ 320)

v1.0 — Oct 10, 2025• First quantitative detection of scale-dependent, anisotropic cosmic birefringence (8.5σ isotropic + 4–5σ directional)

v1.1 — Oct 20, 2025• Full statistical validation (TB/EB diagnostics, covariance)

v1.2 — Oct 21, 2025• Two-harmonic extension (Δℓ ≈ 180 and 360)

v1.3 — Oct 28, 2025• Completes robustness tests (calibration, simulation, injection/recovery)

Harvard Dataverse Mirror — Oct 29, 2025• DOI: 10.7910/DVN/PTDG20

v1.4 — Nov 1, 2025• MASTER-calibrated rotation field α(ℓ)

v1.41 — Nov 1, 2025• Extended calibration (SMICA/NILC, half-mission splits)

v1.42 — Nov 7, 2025• Joint parity + harmonic significance, 165,000 null realizations (≈4.38σ)

v1.43 — Nov 8, 2025• Parity invariant under MASTER coupling

v1.44 — Nov 8, 2025• Axis + frequency + half-mission validation

v1.5 — Nov 9, 2025• Multipole model selection; dipole-only rejected; Δℓ ≈ 454.7

v1.6 — Nov 9, 2025• Phenomenology and physical interpretation

v1.7 — Nov 9, 2025• Forward prediction and experiment overlays (LiteBIRD / SO / CMB-S4)

v1.8 — Nov 9, 2025• Harmonic persistence and model rejection

v2.0 — Nov 10, 2025 (this release)• Δℓ-origin classification• Intrinsic periodicity discovered (Δℓ ≈ 108 damped sinusoid)• Artifact periodicity (Δℓ ≈ 455) isolated as low-ℓ leakage

CITATION

Condit, Amy. Rotation Field of the Cosmic Microwave Background — Intrinsic Periodicity in ℓ-space (v2.0).22 Blue — The Heartbeat of the Universe.DOI: 10.5281/zenodo.17574048

 

22 Blue — The Heartbeat of the Universe Twitter/X: @Project22Blue