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Gravitational potentials in the cosmos are deeper than expected from observed visible objects, a phenomenon usually attributed to dark matter, presumably in the form of a new fundamental particle. Until such a particle is observed, the jury…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-07 Scott Dodelson

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

I discuss a novel MOND effect that entails a correction to the dynamics of isolated mass systems even when they are deep in the Newtonian regime: systems whose extent R<<Rm, where Rm=sqrt(GM/a0) is the MOND radius, and M the total mass.…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-24 Mordehai Milgrom

A general account of MOND theory is given. I start with the basic tenets of MOND, which posit departure from standard dynamics in the limit of low acceleration -- below an acceleration constant a0 -- where dynamics become scale invariant. I…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-16 Mordehai Milgrom

Modified Newtonian Dynamics (MOND) has been shown to be able to fit spiral galaxy rotation curves as well as giving a theoretical foundation for empirically determined scaling relations, such as the Tully - Fisher law, without the need for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 V. F. Cardone , G. Angus , A. Diaferio , C. Tortora , R. Molinaro

Modified Newtonian dynamics, a successful alternative to the cosmic dark matter model, proposes that gravitational field deviates from the Newtonian law when the field strength $g$ is weaker than a critical value $g_0$. We will show that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. F. Kao

Modified Newtonian Dynamics (MOND) is a framework of theories that adjust Newton's laws of gravity to explain effects such as galactic rotation anomalies, offering an alternative to dark matter. This essay examines the justification of MOND…

History and Philosophy of Physics · Physics 2025-12-03 Antonis Antoniou , Lorenzo Lorenzetti

Milgrom's modified Newtonian dynamics (MOND) has done a great job on accounting for the rotation curves of a variety of galaxies by assuming that Newtonian dynamics breaks down for extremely low acceleration typically found in the galactic…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-01 Ling-Jun Wang

An account is given of the development, and the status, of the modified dynamics (MOND)--a proposed alternative to dark matter, which posits a breakdown of Newtonian dynamics in the limit of small accelerations.

Astrophysics · Physics 2007-05-23 Mordehai Milgrom

Practically all the full-fledged MOND theories propounded to date are of the modified-gravity (MG) type: they modify only the Newtonian, Poisson action of the gravitational potential, or the general-relativistic Einstein-Hilbert action,…

Astrophysics of Galaxies · Physics 2023-11-17 Mordehai Milgrom

A wealth of astronomical data indicate the presence of mass discrepancies in the Universe. The motions observed in a variety of classes of extragalactic systems exceed what can be explained by the mass visible in stars and gas. Either (i)…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Benoit Famaey , Stacy McGaugh

The MOND modified gravity paradigm, best known for its agreement with galactic rotation curve data, is difficult to devise laboratory tests for. MOND's predictions differ substantially from Newtonian gravity only in the case of very small…

Astrophysics of Galaxies · Physics 2024-10-03 Benjamin Monreal , Xavier Moskala , Sofia Splawska

We describe some results obtained with N-MODY, a code for N-body simulations of collisionless stellar systems in modified Newtonian dynamics (MOND). We found that a few fundamental dynamical processes are profoundly different in MOND and in…

Astrophysics · Physics 2015-05-13 Carlo Nipoti , Pasquale Londrillo , Luca Ciotti

In the past few decades, various versions of modified gravity theories were proposed to mimic the effect of dark matter. Compared with the conventional Newtonian or relativistic dynamics, these theories contain some extra apparent force…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Man Ho Chan , Chak Man Lee

Stars with a different vertical motion relative to the galactic disk have a different average acceleration. According to Modified Newtonian Dynamics (MOND) theories they should therefore have a different average orbital velocity while…

Astrophysics of Galaxies · Physics 2016-01-27 Ben Margalit , Nir J. Shaviv

To further test MOdified Newtonian Dynamics (MOND) on galactic scales -- originally proposed to explain the rotation curves of disk galaxies without dark matter -- we study a sample of six strong gravitational lensing early-type galaxies…

Astrophysics · Physics 2008-11-26 Ignacio Ferreras , Mairi Sakellariadou , Muhammad Furqaan Yusaf

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a `dark halo'--assumed in a Newtonian analysis to account for the effects of MOND. Not…

Astrophysics · Physics 2011-02-11 Rafael Brada , Mordehai Milgrom

We test the modified Newtonian dynamics (MOND) theory with the velocity-dispersion profiles of Galactic globular clusters populating the outermost region of the Milky Way halo, where the Galactic acceleration is lower than the…

Astrophysics of Galaxies · Physics 2015-05-14 A. Sollima , C. Nipoti

(doctoral thesis of Michal Bilek, finished on June 19, 2015) MOND is an observational rule for predicting the acceleration of stars and galaxies from the distribution of the visible matter. It possibly stems from a new law of physics. I…

Astrophysics of Galaxies · Physics 2016-01-07 Michal Bílek

Cosmological models that invoke warm or cold dark matter can not explain observed regularities in the properties of dwarf galaxies, their highly anisotropic spatial distributions, nor the correlation between observed mass discrepancies and…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-22 Pavel Kroupa , Marcel Pawlowski , Mordehai Milgrom