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Modified Newtonian Dynamics (MOND), postulating a breakdown of Newtonian mechanics at low accelerations, has considerable success at explaining galaxy kinematics. However, the quadrupole of the gravitational field of the Solar System (SS)…

Astrophysics of Galaxies · Physics 2024-04-23 Harry Desmond , Aurélien Hees , Benoit Famaey

The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a significant role. MOND requires…

Astrophysics · Physics 2014-10-13 Jacob D. Bekenstein

The MONDian theory of AQUAL (AQUAdratic Lagrangian) and the theory of GRAS (GRavitational Anti-Screening) are alternatives to the theory of dark matter. When these theories are applied to galaxy dynamics they are in excellent agreement with…

Astrophysics of Galaxies · Physics 2026-02-11 Albert Raymond Penner

Modified gravity theories such as Modified Newtonian Dynamics (MOND) and Scalar-Tensor-Vector Gravity (STVG) have been proposed as alternatives to dark matter, but decisive tests have been hindered by degeneracies between baryonic structure…

Astrophysics of Galaxies · Physics 2026-05-12 Zheng-long Wang , Yue-Lin Sming Tsai , Lan Zhang , Yin Wu , Haining Li , Xiang-Xiang Xue , Hongsheng Zhao , Yi-Zhong Fan

A heuristic entropic-gravity derivation has previously been given of the gravitational two-body force of modified Newtonian dynamics (MOND). Here, it is shown that also another characteristic of MOND can be recovered, namely, the external…

General Relativity and Quantum Cosmology · Physics 2012-04-05 F. R. Klinkhamer

Modified Newtonian dynamics (Mond) has had considerable success in describing motions in galaxies. It uses a single force which falls off inversely with the distance at large distances and inversely with the square of the distance at…

Astrophysics of Galaxies · Physics 2015-06-18 Peter Rastall

A new class of Kuiper belt objects that lie beyond Neptune with semimajor axes greater than 250 astronomical units show orbital anomalies that have been interpreted as evidence for an undiscovered ninth planet. We show that a modified…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Katherine Jones-Smith , Harsh Mathur

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic…

Astrophysics of Galaxies · Physics 2009-08-09 J. R. Brownstein

As an alternative to dark matter models, MOdified Gravity (MOG) theory can compensate for dark matter by a covariant modification of Einstein gravity. The theory introduces two additional scalar fields and one vector field. The aim is to…

Astrophysics of Galaxies · Physics 2015-06-16 J. W. Moffat , S. Rahvar

The LCDM concordance cosmological model is supported by a wealth of observational evidence, particularly on large scales. At galactic scales, however, the model is poorly constrained and recent observations suggest a more complex behaviour…

Astrophysics of Galaxies · Physics 2015-06-23 G. N. Candlish , R. Smith , M. Fellhauer

We examine the weak-field approximation of locally Galilean invariant gravitational theories with general covariance in a $(4+1)$-dimensional Galilean framework. The additional degrees of freedom allow us to obtain Poisson, diffusion, and…

General Relativity and Quantum Cosmology · Physics 2009-10-27 R. R. Cuzinatto , P. J. Pompeia , M. de Montigny , F. C. Khanna

Astronomers use to derive MOdified Newtonian Dynamics (MOND) rotation curves using the simple algebraic rule of calculating the acceleration as equal to the Newtonian acceleration ($a$) divided by some factor $\mu (a)$. However, there are…

Astrophysics of Galaxies · Physics 2021-03-24 M. Lopez-Corredoira , J. E. Betancort-Rijo

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

In a previous paper, the authors with Ann Nelson proposed that the UV and IR applicability of effective quantum field theories should be constrained by requiring that strong gravitational effects are nowhere encountered in a theory's domain…

High Energy Physics - Phenomenology · Physics 2021-03-09 Andrew G. Cohen , David B. Kaplan

I present a class of theories that generalize quasilinear MOND (QUMOND). Like QUMOND, these GQUMOND theories require solving only the linear Poisson equation (twice). Unlike QUMOND, their Lagrangian depends on higher derivatives of the…

Astrophysics of Galaxies · Physics 2023-10-05 Mordehai Milgrom

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

Models of "modified-inertia" formulation of MOND are described and applied to nonrelativistic many-body systems. They involve time-nonlocal equations of motion. Momentum, angular momentum, and energy are (nonlocally) defined, whose total…

Astrophysics of Galaxies · Physics 2022-10-03 Mordehai Milgrom

Dark matter is the generally accepted paradigm in astrophysics and cosmology as a solution to the higher rate of rotation in galaxies, among many other reasons. But since there are still some problems encountered by the standard dark matter…

Astrophysics of Galaxies · Physics 2021-02-24 Hanna A. Sabat , Raed Z. Bani-Abdoh , Marwan S. Mousa

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

The Modified Newtonian Dynamics (MOND) paradigm generically predicts that the external gravitational field in which a system is embedded can produce effects on its internal dynamics. In this communication, we first show that this External…

Astrophysics of Galaxies · Physics 2015-11-10 A. Hees , B. Famaey , G. W. Angus , G. Gentile