Relativity and Cosmology |
Authors: Arieh Sher
The observed motion of the Solar System and the Local Group relative to the cosmicmicrowave background (CMB) is conventionally interpreted as a peculiar velocity produced bythe gravitational influence of the surrounding large-scale matter distribution, including the Virgoregion, the Great Attractor, the Shapley concentration, and cosmic voids. The Solar-Systembarycenter moves relative to the CMB at approximately 369.8 km s−1, while transformation tothe Local-Group barycenter gives a velocity of approximately 627 km s−1. This paper examinesan alternative interpretation within the Pivot Universe (PU) model. The universe is treated asa rotating system described approximately by Kerr geometry generated by a central massiverotating Pivot. Matter in the observable universe is assumed to participate approximately in theframe-dragged rotation generated by the Pivot. For MP = 7.82 × 1053 kg, JP = 1.06 × 1087 J s,RMW = 123.3265 Gly, and RCMB = 123.36 Gly, the Kerr frame-dragging angular velocity at theMilky-Way shell is approximately 0.313 × 10−13rad yr−1. A locally normalized differential Kerrquantity between the MW and CMB shells is approximately 495 km s−1. This value lies betweenthe Solar-System/CMB and Local-Group/CMB velocities, but it is shown that this numericalcorrespondence cannot itself be identified with an invariant relative velocity. An invariant Kerrphoton-frequency calculation instead separates a predominantly gravitational monopole shiftfrom a much smaller directional frame-dragging contribution. The PU interpretation thereforerequires the observed CMB dipole to contain a combination of global Kerr geometry and localpeculiar motions. The model yields quantitative predictions that can, in principle, be testedagainst the direction and magnitude of observed large-scale peculiar-velocity fields.
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[v1] 2026-09-08 09:23:43
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