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I derive a new MOND relation for pure-disc galaxies: The `dynamical' central surface density, $\Sigma^0_D$, deduced from the measured velocities, is a universal function of only the true, `baryonic' central surface density, $\Sigma^0_B$:…

Astrophysics of Galaxies · Physics 2016-09-28 Mordehai Milgrom

Prompted by the recent claim, by Donato et al., of a quasi-universal central surface density of galaxy dark matter halos, I look at what MOND has to say on the subject. MOND, indeed, predicts a quasi-universal value of this quantity for…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Mordehai Milgrom

I show that Modified Newtonian Dynamics (MOND) is equivalent to assuming an isothermal dark matter density profile, with its density related to the enclosed total baryonic mass. This density profile can be deduced by physical laws if a dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Man Ho Chan

We extend the MOND analysis to a sample of 17 high surface brightness, early-type disc galaxies with rotation curves derived from a combination of 21cm HI line observations and optical spectroscopic data. A number of these galaxies have…

Astrophysics · Physics 2008-11-26 R. H. Sanders , E. Noordermeer

Intermediate-richness galaxy groups are an important test ground for MOND. First, they constitute a distinct type of galactic systems, with their own evolution histories and underlying physical processes; secondly, they probe…

Astrophysics of Galaxies · Physics 2019-02-22 Mordehai Milgrom

Observations of galaxies suggest a one-to-one analytic relation between the inferred gravity of dark matter at any radius and the enclosed baryonic mass, a relation summarized by Milgrom's law of modified Newtonian dynamics (MOND). However,…

Astrophysics · Physics 2009-11-13 Jean-Philippe Bruneton , Stefano Liberati , Lorenzo Sindoni , Benoit Famaey

It is pointed out that MOND defines a fiducial specific angular momentum (SAM) for a galaxy of total (baryonic) mass $\mathcal{M}$: $j_M(\mathcal{M})\equiv\mathcal{M}^{3/4}(G^3/a_0)^{1/4}\approx 383(\mathcal{M}/10^{10}M_\odot)^{3/4}{\rm…

Astrophysics of Galaxies · Physics 2021-09-15 Mordehai Milgrom

The tight correlation between galaxy bulges and their central black hole masses likely emerges in a phase of rapid collapse and starburst at high redshift, due to the balance of gravity on gas with the feedback force from starbursts and the…

Astrophysics · Physics 2009-11-13 HongSheng Zhao , Bing-Xiao Xu , Clare Dobbs

Angus et al. (2015) have recently faulted MOND as follows: Studying thirty disc galaxies from the DiskMass survey, they derive the profiles of velocity dispersion perpendicular to the discs as predicted by MOND, $\sigma_M(r)$, and compare…

Astrophysics of Galaxies · Physics 2016-01-05 Mordehai Milgrom

We present the correlation between the extrapolated central disk surface brightness (mu) and extrapolated central surface mass density (Sigma) for galaxies in the DiskMass sample. This mu-Sigma-relation has a small scatter of 30% at the…

Galaxy groups, which have hardly been looked at in MOND, afford probing the acceleration discrepancies in regions of system-parameter space that are not accessible in well-studied galactic systems, such as galaxies, galaxy clusters, and…

Astrophysics of Galaxies · Physics 2018-12-04 Mordehai Milgrom

It is a common miss-conception that 1E 0657-56, the "Bullet Cluster", is somehow inconsistent with MOND expectations. The argument centres on the fact that the baryonic matter distribution of this system is dominated by the X-ray emitting…

Astrophysics of Galaxies · Physics 2026-04-21 X. Hernandez

In this paper, we extend a paper by Milgrom (2009, MNRAS 398, 1023) dealing with the existence of a quasi-universal surface density for object of all mass and structure, if they are in the Newtonian regime, i.e., that their mean…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Antonino Del Popolo , Morgan Le Delliou

In the cold dark matter (CDM) paradigm, bulges easily form through galaxy mergers, either major or minor, or through clumpy disks in the early universe, where clumps are driven to the center by dynamical friction. Also pseudo-bulges, with a…

Astrophysics of Galaxies · Physics 2015-12-09 F. Combes

Bimetric MOND (BIMOND) is used as a platform for variable-$G$ theories that have MOND-specific idiosyncrasies. E.g., MOND premises dictate return to standard dynamics in the high-acceleration limit, predicting the standard value of $G$ for…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-09 Mordehai Milgrom

This chapter presents Modified Newtonian Dynamics (MOND), the proposal that, below a certain acceleration scale $a_0$, dynamics departs from the Newtonian expectation. In that context, the determining factor for the emergence of apparent…

Astrophysics of Galaxies · Physics 2025-01-29 Benoit Famaey , Amel Durakovic

We look for observational signatures that could discriminate between Newtonian and modified Newtonian (MOND) dynamics in the Milky Way, in view of the advent of large astrometric and spectroscopic surveys. Indeed, a typical signature of…

Astrophysics of Galaxies · Physics 2015-05-13 O. Bienaymé , B. Famaey , X. Wu , H. S. Zhao , D. Aubert

The irrefutable successes of MOND are predicated upon the idea that a critical gravitational acceleration scale, $a_0$, exists. But, beyond its role in MOND, the question: 'Why should a critical gravitational acceleration scale exist at…

Astrophysics of Galaxies · Physics 2022-02-15 David Roscoe

We consider disk stability in the quasi-linear formulation of MOND (QUMOND), the basis for some $N$-body integrators. We generalize the Toomre criterion for the stability of disks to tightly wound, axisymmetric perturbations. We apply this…

Astrophysics of Galaxies · Physics 2019-01-23 Indranil Banik , Mordehai Milgrom , Hongsheng Zhao

Aniyan et al. (2018) have recently published direct measurements of the baryonic mass distribution and the rotation curve of the almost-face-on disc galaxy NGC 628. While its very low inclination makes this galaxy anything but ideal for…

Astrophysics of Galaxies · Physics 2018-02-15 Mordehai Milgrom
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