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

TL;DR

This paper proposes a unified weak gravity framework involving the trace of the Schouten tensor to explain galaxy dynamics and early galaxy formation beyond the standard cosmological model, connecting quantum gravity and observable galaxy relations.

Contribution

It introduces a novel relation between the Milgrom parameter and the Schouten tensor trace, linking quantum gravity effects to galaxy rotation curves and early universe phenomena.

Findings

Derives the sensitivity of weak gravity to the Schouten tensor trace J.

Identifies the exact relation a_0=c^2√J/2π across all redshifts.

Predicts a negative derivative of a_0 at the present epoch.

Abstract

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 $\Lambda$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 $a_0=c^2\sqrt{J}/2\pi$ of the Milgrom parameter across all redshifts, accounting for the bTFR and early galaxy formation accelerated by a factor $\sim J^{1/8}$. It predicts $a_0^\prime(0)<0$ at the present epoch.