Comparison of MOND and Verlinde's emergent gravity in dwarf spheroidals

TL;DR

This study compares MOND and Verlinde's emergent gravity in dwarf spheroidals, finding that Verlinde's theory more accurately matches observed accelerations and is statistically favored over MOND.

Contribution

It provides the first comprehensive comparison showing Verlinde's emergent gravity better fits dwarf spheroidal data than MOND, with strong statistical significance.

Findings

Verlinde's emergent gravity closely matches observed accelerations in most dwarf spheroidals.

Verlinde's emergent gravity is statistically favored over MOND at 5.2σ.

The analysis confirms the trend across 23 dwarf spheroidals.

Abstract

We apply Modified Newtonian Dynamics (MOND) and Verlinde's emergent gravity separately to calculate the radial accelerations in 23 dwarf spheroidals. Then, we compare them with the observed radial accelerations. In our earlier work, we determined that, when the data set is considered in its entirety without isolating individual dwarf spheroidal, Verlinde's emergent gravity is in close agreement with the observed values. In the present work, we additionally confirm that, for 21 of the 23 samples examined, Verlinde's emergent gravity follows the trend of the observed values within each dwarf spheroidal more closely than MOND. Combining the statistical significance of all the 23 samples, ranging from $-0.25\sigma$ to 3.41$\sigma$, we conclude that Verlinde's emergent gravity is favored over MOND at 5.2$\sigma$.