Rotation Curves and Nonextensive Statistics

TL;DR

This paper explores how nonextensive q-statistics and kinetic theory can explain galactic rotation curves and the observed cored dark matter profiles, offering an alternative to traditional models.

Contribution

It introduces the application of nonextensive q-statistics to galactic rotation curves, providing a new interpretation of dark matter distribution in galaxies.

Findings

Rotation curves can be fitted with reasonable model parameters.

Nonextensive statistics offer an alternative explanation for dark matter profiles.

Encourages further observational and theoretical research on q-statistics in astrophysics.

Abstract

We investigate the influence of the nonextensive q-statistics and kinetic theory on galactic scales through the analysis of a devised sample of Spiral Rotation Curves. Largely supported by recent developments on the foundations of statistical mechanics and a plethora of astrophysical applications, the theory also provides an alternative interpretation to the empirical cored dark matter profiles observed in galaxies. We show that the observations could well be fitted with reasonable values for the mass model parameters, encouraging further investigation into q-statistcs on the distribution of dark matter from both observational and theoretical points of view.