Full-sky CMB temperature topology as evidence for large-scale differential rotation in the early universe

Abstract

This v1.5 release accompanies the manuscript by Gerhard Rambold, “Full-sky CMB temperature topology as evidence for large-scale differential rotation in the early universe”. The analysis applies one frozen multiscale reconstructibility operator (AC*) separately to the Planck PR3 SMICA, NILC, Commander, and SEVEM temperature reconstructions. The protected analysis chain runs from the support-indexed AC* field through high-response morphology, reciprocal high-resolution lineages, a reconstructed spherical tangent field and blind topology to Focus A, its 3D-compatible persistence, differential-rotation profile, transverse physical realization, and a common regular-vector recombination state. A pre-specified sign-sensitive polarization operator then tests the corresponding second-channel relation. The opposite-sign relation is reproduced across all four temperature-derived physical source realizations and both Planck half missions. The four component-separation products are correlated reconstructions of the same CMB sky and are therefore used for cross-reconstruction robustness, not as four independent detections. The release does not claim an absolute material speed, physical angular velocity, vorticity amplitude, unique volumetric flow, unique Bianchi type, cosmological centre, or unique ultimate cosmological generator. The record contains exactly four public objects: the frozen 28-page manuscript; a portable interactive scientific viewer; an authority-bound Python analysis/replay package with explicit four-map branches; and a licences/manifests/checksums archive containing frozen SHA-256 bindings, observational-input and mask bindings, provenance, and freeze receipts. The canonical AC* implementation and response field remain frozen and reproducibly bound by SHA-256. The public package contains no raw Planck or WMAP FITS files. Original third-party observational products must be obtained from their public source archives under the providers’ applicable terms. Author-created scientific text, figures, documentation, manifests and derived presentation material are released under CC BY 4.0 to the extent rights are held; original author-created software is released under the MIT License.