Galaxy dynamics tracing quantum cosmology beyond $\mathrm{\Lambda }$CDM below the de Sitter scale of acceleration

It is proposed that the baryonic Tully-Fisher relation (bTFR) and JWST ‘Impossible galaxies’ at cosmic dawn are unified in weak gravity by the trace $J$ of the Schouten tensor below the Sitter scale of acceleration $a_{dS}=cH$, where $c$ is the velocity of light and $H$ is the Hubble parameter. Across $a_{dS}$, $J$ parametrizes short-period galaxy rotation curves and fast gravitational collapse beyond the predictions of $\mathrm{\Lambda }$CDM. The sensitivity of weak gravitation to $J=\frac{1}{6}R$ is derived in infrared gravitation from a consistent limit of quantum gravity, reducing to general relativity in the limit of a small Planck constant, where $R$ is Ricci scalar tensor. For the first time, it identifies the exact relation $a_0=c^2\sqrt{J}\mathrm{/}2\pi$ of the Milgrom parameter across all redshifts, accounting for the bTFR and early galaxy formation accelerated by a factor $\sim J^{1\mathrm{/}8}$. It predicts $a_0^{\mathrm{\prime }}(0)<0$ at the present epoch.