Entropic-gravity derivation of MOND

TL;DR

This paper derives key features of MOND, including the external field effect and the modified Poisson equation, using an entropic gravity approach, providing a new perspective on modified gravity theories.

Contribution

It demonstrates that an entropic gravity framework can reproduce fundamental aspects of MOND, including the external field effect and the modified Poisson equation.

Findings

Recovered the external field effect characteristic of MOND.

Derived the modified Poisson equation as proposed by Bekenstein and Milgrom.

Showed the entropic gravity approach aligns with nonrelativistic MOND theory.

Abstract

A heuristic entropic-gravity derivation has previously been given of the gravitational two-body force of modified Newtonian dynamics (MOND). Here, it is shown that also another characteristic of MOND can be recovered, namely, the external field effect (implying a violation of the Strong Equivalence Principle). In fact, the derivation gives precisely the modified Poisson equation which Bekenstein and Milgrom proposed as a consistent nonrelativistic theory of MOND.