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Paper CLXXX: One-Octonion kSZ Pairwise Velocities at Inter-Cluster Scales: Gallardo et al. 2026, Newtonian Restoration at r ≫rT2∗

Authors: Jagadeesan, Bharathi Dasan;

Paper CLXXX: One-Octonion kSZ Pairwise Velocities at Inter-Cluster Scales: Gallardo et al. 2026, Newtonian Restoration at r ≫rT2∗

Abstract

Gallardo et al. (2026) measure the kSZ pairwise velocity statistic from ACT+Planck CMB data cross-correlated with DESI/BOSS galaxy clusters, finding a ra- dial velocity profile v(r) ∝r−n with n = 2.1 ± 0.3 at separations of 30–230 Mpc, ex- cluding standard MOND's prediction of n = 1 at 3.3σ. We show this result is exactly what the brane-bulk framework predicts and does not contradict MOND at galaxy scales. The T2∗coherence radius for a 1014 M⊙galaxy cluster is rT2∗= 0.37 Mpc; at inter- cluster separations of 30–230 Mpc (which are ≫rT2∗), the framework predicts Newtonian dynamics (n = 2), not MOND (n = 1). The Carreau-Yasuda interpolation function ˜v(a) = [1 + (a/a0)2]1/8 smoothly transitions from MOND at a ≲a0 (sub-rT2∗galactic scales) to Newtonian at a ≫a0 (super-rT2∗inter-cluster scales). Gallardo's n = 2.1 measurement at 30–230 Mpc is confirmation of this transition, not a contradiction of the framework. New prediction P78: the kSZ pairwise velocity amplitude deviates from ΛCDM by fbulk = 3.691% at r ∼rT2∗= 0.37 Mpc, currently below Gallardo's statistical power but testable with Simons Observatory + DESI (∼4 × 106 galaxies). Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.

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Keywords

One-Octonion Brane-Bulk Framework, G2, auxetic brane, Klein quartic, Fano plane, octonion

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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