Noncommutative geometry and MOND

TL;DR

This paper explores how noncommutative geometry, related to string theory, can provide a theoretical foundation for Modified Newtonian Dynamics (MOND), explaining galaxy rotation curves without dark matter.

Contribution

It proposes a novel connection between noncommutative geometry and MOND, offering a potential theoretical basis for the empirical model.

Findings

Noncommutative geometry can account for flat galaxy rotation curves.

Provides a theoretical justification for MOND.

Extends previous heuristic arguments linking geometry and galaxy dynamics.

Abstract

Modified Newtonian dynamics (MOND) is a hypothesized modification of Newton's law of universal gravitation to account for the flat rotation curves in the outer regions of galaxies, thereby eliminating the need for dark matter. Although a highly successful model, it is not a self-contained physical theory since it is based entirely on observations. It is proposed in this paper that noncommutative geometry, an offshoot of string theory, can account for the flat rotation curves and thereby provide a justification for MOND. This paper extends an earlier heuristic argument by the author.