Fractal Gravitation

TL;DR

This paper explores a fractal-based approach to modeling the Milky Way's gravitational potential and rotation curves using Gaia data, without invoking dark matter, and compares models with observed stellar velocities.

Contribution

It introduces a novel fractal dimension-based method to estimate gravitational potential and rotation curves in the Milky Way, challenging dark matter assumptions.

Findings

Fractal models fit observed rotation curves without dark matter.

Different regions show varying fractal dimensions affecting gravitational estimates.

Models align reasonably well with Gaia stellar velocity data.

Abstract

Considering the GAIA data for {$\approx 10^6$} stars around the {barycenter,} we estimate the fractal dimension for different regions in the Milky Way. Then we use those fractal dimensions to calculate the gravitational potential considering the medium as a continuous fractal. Finally, {we use the gravitational potential to infer} the circular velocity {and adjust} rotation curves in the Milky Way. {For this,} we use two numerical models, the first considering uniform density and a second more realistic of a bulge and a disk. In none of these models we consider dark matter. We study their validity comparing them with circular speed data from the Milky Way.