Modified Newtonian Dynamics (MOND) as a Modification of Newtonian Inertia

TL;DR

This paper proposes a modified inertia formulation of MOND that breaks Galilean invariance and introduces a new space-time symmetry, aiming to better explain galactic dynamics without dark matter.

Contribution

It introduces a novel modified inertia approach to MOND that involves a new space-time symmetry, addressing limitations in galaxy cluster mass discrepancy.

Findings

Milgrom's law is invariant under the new transformation.

The approach suggests a potential resolution to galaxy cluster mass discrepancies.

The formulation challenges traditional invariance assumptions in MOND.

Abstract

We present a modified inertia formulation of Modified Newtonian dynamics (MOND) without retaining Galilean invariance. Assuming that the existence of a universal upper bound, predicted by MOND, to the acceleration produced by a dark halo is equivalent to a violation of the hypothesis of locality (which states that an accelerated observer is pointwise inertial), we demonstrate that Milgrom's law is invariant under a new space-time coordinate transformation. In light of the new coordinate symmetry, we address the deficiency of MOND in resolving the mass discrepancy problem in clusters of galaxies.