Analyzes radial acceleration scale evolution in cosmological contexts, indicating significant trends.
Recent kinematic surveys indicate that the characteristic acceleration scale a0 of the radial acceleration relation (RAR) increases with redshift. We confront this trend with four zero-parameter laws for a0(z), each tied to a distinct physical anchor: (i) a constant scale (particle-physics anchor, as in superfluid dark matter, or a pure-Lambda vacuum anchor); (ii) the instantaneous horizon, a0 proportional to cH(z) (Gibbons-Hawking/Cai-Kim temperature); (iii) the dynamical Kodama-Hayward horizon temperature; (iv) a matter-density anchor. Using the published MUSE-DARK III measurements, the MIGHTEE-HI local value, the SPARC calibration, and an independent re-analysis of the public DARK data release (88 galaxies, 440 reconstructed acceleration points), we find that the constant and Kodama-Hayward laws are excluded under every representation of the data (>= 4 sigma), the matter anchor is disfavoured, and a0 proportional to cH(z) is the only surviving shape. A one-parameter composite law, whose form follows from a cosmological consistency argument, reconciles the residual normalisation tension between surveys; we obtain the first measurements of the slaving fraction nu = 0.46 (MIGHTEE anchor) to nu = 0.86 (SPARC anchor), with an anchor-free track-level refit preferring evolution over a constant scale at 2.8-4.6 sigma across a grid of declared systematics. The dominant degeneracy - cold gas unaccounted in the baryonic acceleration - is quantified and constrained by three independent arguments; the residual loophole is directly closable by LADUMA. The law makes dated, falsifiable predictions for ALMA [CII] discs at z ~ 4.5, for the low-z slope measurable within a single HI pipeline, for the baryonic Tully-Fisher zero point, and for stacked weak lensing in lens-redshift bins. We summarise a covariant embedding within an aether-scalar framework, in which a linear-order equivalence theorem transfers the CMB and gravitational-wave-speed successes of the chassis, and a first-pass stability analysis returns an internal bound on the slaving fraction whose numerical value is compressed into a single geometric parameter, with nu predicted in closed form for every value of that parameter. The decoupled case, equivalent to a pure-number coupling relation, fixes nu = 0.745 and removes all shape freedom from the law. All assumptions are declared; all analysis inputs are public.
No takes yet. Share an insight, caveat, or question.
Sloppy ' (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: