Brownian motion approach to anomalous rotation of galaxies

TL;DR

This paper links a modified gravity theory to Brownian motion, proposing a stochastic process approach to explain galaxy rotation without dark matter, and explores phase diagrams of gravitating systems.

Contribution

It introduces a novel connection between MSTG and Brownian motion, and investigates stochastic models for galaxy rotation and gravitational condensation.

Findings

MSTG relates to equilibrium Brownian motion.

Stochastic processes can model anomalous galaxy rotation.

Phase diagrams show conditions for gravitating cloud condensation.

Abstract

It has been shown that the weak-interacting limit of the metric-skew-tensor-gravity (MSTG) can explain the anomalous rotation of galaxies without non-baryonic dark matter. We show that MSTG is related to the equilibrium-state of ordinary Brownian motion. We also explore if other stochastic processes can model anomalous rotation. Furthermore, we analyze phase-diagrams that elucidate the condensation of a gravitating cloud towards a Kepler-Newton system and illustrate regions of existence of rotating objects.