Galactic rotation curves inspired by a noncommutative-geometry background

TL;DR

This paper explores how noncommutative geometry can explain galaxy rotation curves and gravitational effects without dark matter by modeling energy density diffusion and stable orbits.

Contribution

It demonstrates that noncommutative geometry inherently produces gravitational effects similar to dark matter, offering a novel explanation for galaxy rotation curves.

Findings

Noncommutative geometry induces diffused energy density in galaxies.

Stable circular orbits can be achieved without dark matter.

Gravity appears attractive due to geometric effects.

Abstract

This paper discusses the observed at rotation curves of galaxies in the context of noncommutative geometry. The energy density of such a geometry is diffused throughout a region due to the uncertainty encoded in the coordinate commutator. This intrinsic property appears to be sufficient for producing stable circular orbits, as well as attractive gravity, without the need for dark matter.