Liquid-Droplet as a model for the rotation curve problem

TL;DR

This paper proposes a modified gravitational model based on the Liquid-Droplet analogy, which explains galaxy rotation curves and related phenomena without dark matter by using a saturated, Machian gravitational potential.

Contribution

It introduces a novel saturated gravitational potential inspired by nuclear physics, providing an alternative explanation for galaxy rotation curves and related astrophysical relations.

Findings

Rotation curves are explained without dark matter.

The virial theorem and Tully-Fisher relation are derived within this model.

A physical basis for MOND's constant acceleration is proposed.

Abstract

The dynamics of large scale gravitational structures like galaxies, local groups and clusters is studied based on the so-called {\it Liquid-Droplet} model describing the saturation property of the nuclear force. Using the assumption that the gravitational force is also saturated over large scale structures, it is argued that the Newtonian gravitational potential may be replaced by an effective {\it Machian} gravitational potential. Application of this new potential at these large scale structures may give the rotation curves in good agreement with observations. Then, the virial theorem for this kind of gravitational interaction is developed and also the Tully-Fisher relation is obtained. A physical explanation is given for the so-called {\it constant} acceleration in the MOND as the {\it effective} gravitational strength of these structures. Finally, a brief argument is given for comparison with dark matter models.