MOND, dark matter, and conservation of energy

TL;DR

This paper argues that Modified Newtonian Dynamics (MOND) inherently implies the need for dark matter and introduces nonconservative forces, challenging its viability as an alternative to dark matter.

Contribution

It demonstrates that MOND cannot avoid dark matter and leads to nonconservative dynamics through a force transformation analysis.

Findings

MOND transformation implies dark matter is still needed.

MOND introduces nonconservative terms in equations of motion.

The analysis challenges the effectiveness of MOND as an alternative to dark matter.

Abstract

The MOND equation $m \vec a \mu(a) = \vec F$ could be transformed to the equivalent form $m \vec a = \vec{F'}$, where $\Vec{F'}$ is a transformed force. Using this transformation we argue that MOND could not avoid introducing dark matter, and introduces nonconservative terms to the equations of motion.