Comment on "Impact of a Global Quadratic Potential on Galactic Rotation Curves"

TL;DR

This paper discusses how conformal gravity theory, with a quadratic potential, can explain galaxy rotation curves and predict galaxy sizes without dark matter, emphasizing the importance of orbit stability and potential termination points.

Contribution

It provides a generic formula for galaxy sizes based on conformal gravity and the stability of circular orbits, linking galactic size to a quadratic cosmological potential.

Findings

Galaxies have finite sizes determined by a quadratic potential.

The size of a galaxy is uniquely related to the stability of circular orbits.

Observations of orbit termination points can test the theory's predictions.

Abstract

Conformal gravity theory can explain observed flat rotation curves of galaxies without invoking hypothetical dark matter. Within this theory, we obtain a generic formula for the sizes of galaxies exploiting the stability criterion of circular orbits. It is found that different galaxies have different finite sizes uniquely caused by the assumed quadratic potential of cosmological origin. Observations on where circular orbits might actually terminate could thus be very instructive in relation to the galactic sizes predicted here.