A fundamental test for MOND

Abstract

The Radial Acceleration Relation (RAR) shows a strong correlation between two accelerations associated to galaxy rotation curves. The relation between these accelerations is given by a nonlinear function which depends on an acceleration scale $a_{†}$. Some have interpreted this as an evidence for a gravity model, such as Modified Newtonian Dynamics (MOND), which posits a fundamental acceleration scale $a_0$ common to all the galaxies. However, it was later shown, using Bayesian inference, that this seems not to be the case: the $a_0$ credible intervals for individual galaxies were not found to be compatible among themselves. This type of test is a fundamental test for MOND as a theory for gravity, since it directly evaluates its basic assumption and this using the data that most favor MOND: galaxy rotation curves. Here we improve upon the previous analyses by introducing a more robust method to assess the compatibility between the credible intervals, in particular without Gaussian approximations. We directly estimate, using a Monte Carlo simulation, that the existence of a fundamental acceleration is incompatible with the data at more than $5\sigma$. We also consider quality cuts in order to show that our results are robust against outliers. In conclusion, the new analysis further supports the claim that the acceleration scale found in the RAR is an emergent quantity.

12 pages, 4 figures; version accepted for publication in MNRAS

References in corpus (5)

• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• THINGS about MOND
• NIHAO XVIII: Origin of the MOND phenomenology of galactic rotation curves in a LCDM universe
• Reply to: Overconfidence in Bayesian analyses of galaxy rotation curves

Cited by in corpus (17)

• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• The radial acceleration relation in a $\Lambda$CDM universe
• Towards a full general relativistic approach to galaxies
• Yet another test of Radial Acceleration Relation for galaxy clusters
• On the Presence of a Universal Acceleration Scale in Elliptical Galaxies
• Galaxy rotation curves and universal scaling relations: comparison between phenomenological and fermionic dark matter profiles
• Normalized additional velocity distribution: testing the radial profile of dark matter halos and MOND
• Heat capacity of Holographic screen inspires MOND theory
• A cautionary tale in fitting galaxy rotation curves with Bayesian techniques: does Newton's constant vary from galaxy to galaxy?
• Empirical Evidence of Non-Minimally Coupled Dark Matter in the Dynamics of Local Spiral Galaxies?
• A test of Radial Acceleration Relation for the {\it Giles et al Chandra} cluster sample
• ΛCDM with baryons vs. MOND: the time evolution of the universal acceleration scale in the Magneticum simulations
• Dark Coincidences: Small-Scale Solutions with Refracted Gravity and MOND
• Elucidating the z-dependence of the MOND acceleration (a_0) within the Scale Invariant Vacuum (SIV) paradigm
• Mining the SPARC Galaxy Database: Finding "Hidden Variables" in the Baryonic Tully-Fisher Relation
• Geodesics in Quantum Gravity
• The modified Newtonian dynamics with an extra anti-dissipation term can yield the MOND model