Gravitational Renormalization Group Flow, Astrophysics and Cosmology

TL;DR

This paper proposes a modified gravitational theory where fundamental constants vary with scale, explaining cosmological data and galaxy dynamics without dark matter, while remaining consistent with solar system tests.

Contribution

It introduces a scale-dependent gravitational theory that unifies early universe cosmology and galaxy dynamics without dark matter, based on renormalization group flow.

Findings

Explains early universe data with a dark hidden photon.

Accounts for galaxy and cluster dynamics without dark matter.

Aligns with solar system and binary pulsar observations.

Abstract

A modified gravitational theory is developed in which the gravitational coupling constants $G$ and $Q$ and the effective mass $m_\phi$ of a repulsive vector field run with momentum scale $k$ or length scale $\ell =1/k$, according to a renormalization group flow. The theory can explain cosmological early universe data with a dark hidden photon and late time galaxy and cluster dynamics without dark matter. The theory agrees with solar system and binary pulsar observations.