MOND still works.
The baryonic Faber-Jackson relation (BFJR) links the baryonic mass of pressure-supported systems to their mean velocity dispersion. For elliptical galaxies, the BFJR is thought to be a projection of the fundamental plane (FP), which includes the stellar half-mass radius as a third variable. We study the BFJR and FP across eight orders of magnitude in baryonic mass, encompassing galaxy groups, ellipticals, dwarf ellipticals, and dwarf spheroidals. We compile and homogenize data for 1400 pressure-supported systems and measure their mean internal baryonic acceleration ⟨gbar⟩.
We find that the properties of the BFJR and FP systematically depend on the internal acceleration of the sampled systems, with a transition around the acceleration scale a(0) ≃ 1.2 × 10^10 m*s^−2. For low-acceleration systems with ⟨gbar⟩ < 0.6 a(0) (dwarf galaxies and galaxy groups), the BFJR relation takes the form log(10)(M(bar)/M⊙) = (4.19 ± 0.10) log(10)(σ(los)/km*s^−1) + (2.55 +0.16 −0.16) with an orthogonal intrinsic scatter of 0.11±0.01 dex [ed. about ± 29% which is low for astronomy observations].
The FP expected from the Newtonian virial theorem is followed by high-acceleration systems (massive ellipticals with ⟨gbar⟩ ≳ 6a(0)), whereas low-acceleration systems deviate from the FP at both low masses (dwarf galaxies) and high masses (galaxy groups).
Our results generally agree with the expectations of MOND: high-acceleration systems follow the Newtonian virial theorem in which a radial variable explicitly appears (the FP), while low-acceleration systems follow the MOND virial theorem in which the radial dependence disappears (the BFJR). On average, the MOND external field effect seems to play a secondary role in dwarf galaxies in galaxy groups and clusters.
Yong Tian, Federico Lelli, Marcel S. Pawlowski, Stacy McGaugh, Yi Duann, Kyu-Hyun Chae, Enrico Di Teodoro, Konstantin Haubner, Meng Hua Kuo, Chung-Ming Ko, "The Baryonic Faber-Jackson Relation and Fundamental Plane of Galaxy Groups, Elliptical Galaxies, and Dwarf Galaxies" arXiv:2605.26965 (May 26, 2026) (A&AL in press).
But there are dissenters, who conclude that MOND is disfavored, albeit, with a much smaller sample size, and based upon a "cored halo" model that there is not produced by any underlying dark matter physics model.
Dwarf galaxies have long been recognised as important testing grounds for models of dark matter. For instance, it is here where the cusp-core problem is most apparent.
In this work we select two dwarf galaxy samples: LITTLE THINGS and dwarf galaxies in SPARC. We use these to examine whether there are preferences for MOND or dark matter halos in these objects. Notably, our analysis employs the latest developments in Hamiltonian Monte Carlo sampling methodology and robust model comparison via ELPD differences.
Our findings suggest a > 4σ preference for cored halo models over MOND. However, this relies on significant preferences from 7 out of 19 SPARC galaxies and 11 of 18 from LITTLE THINGS (few of which are overwhelming). It is notable that only a single galaxy prefers MOND over a cored halo.
Thus, this evidence is suggestive, but does not conclusively decide against MOND. We also test for evidence of a MOND external field effect, and find weak evidence against its presence.
Despite these statistical preferences, most SPARC galaxies remain compatible with a universal MOND scale. In LITTLE THINGS, a free MOND model is preferred to a universal value at ∼8σ, but this is of doubtful physical significance.
For MOG, the story is different, here we find ≳8σ preferences for all halos (or MOND) against universal MOG models with significant exclusions in individual galaxies across both samples. Thus, a proposed universal rotation curve model derived from MOG is quite strongly disfavoured.
Geoff Beck, "For modified gravity, it's the LITTLE THINGS that matter" arXiv:2605.27217 (May 26, 2026).
And then, there is this attempt to explain dark matter phenomena:
We review recent results showing that, within the framework of quantum field theory in curved spacetime, the semiclassical energy-momentum tensor of the neutrino flavor vacuum fulfills the equation of state of dust and cold dark matter. By considering spherically symmetric spacetimes in the weak field approximation, the flavor vacuum is shown to contribute as a Yukawa correction to the Newtonian potential. We discuss how this modified potential provides a mechanism to account for the flat rotation curves of spiral galaxies. In this perspective, neutrino mixing is presented as a viable contributing factor to the dark matter content of the universe.
Antonio Capolupo, Salvatore Capozziello, Gabriele Pisacane, Aniello Quaranta, "Particle Physics in Curved Spacetime and Dark Matter" arXiv:2605.26134 (May 21, 2026).
