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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

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

Strong gravitational lensing by galaxies in MOdified Newtonian Dynamics (MOND) has until now been restricted to spherically symmetric models. These models were able to account for the size of the Einstein ring of observed lenses, but were…

Astrophysics · Physics 2009-06-23 HuanYuan Shan , Martin Feix , Benoit Famaey , HongSheng Zhao

The phenomena customly called Dark Matter or Modified Newtonian Dynamics (MOND) have been argued by Bekenstein (2004) to be the consequences of a covariant scalar field, controlled by a free function (related to the MOND interpolating…

Astrophysics · Physics 2009-11-11 HongSheng Zhao , Benoit Famaey

Modified Newtonian Dynamics (MOND) is an alternative to the dark matter hypothesis that attempts to explain the "missing gravity" problem in astrophysics and cosmology through a modification to objects' dynamics. Since its conception in…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Harry Desmond

The ammonia method to probe variations of the electron-to-proton mass ratio, Delta_mu/mu, is applied for the first time to dense prestellar molecular clouds in the Milky Way. Carefully selected sample of 21 NH_3/CCS pairs observed in the…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Paolo Molaro , Sergei A. Levshakov , MiKhail G. Kozlov

In the framework of the emergent gravity scenario by Verlinde, it was recently observed by Liu and Prokopec that, among other things, an anomalous pericenter precession would affect the orbital motion of a test particle orbiting an isolated…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Lorenzo Iorio

We present results derived from a high-resolution cosmological N-body simulation in which the equations of motion have been changed to account for MOdified Newtonian Dynamics (MOND). It is shown that a low-Omega0 MONDian model with an…

Astrophysics · Physics 2007-05-23 Alexander Knebe

In this paper, we present several gravity tests made in using the last INPOP08 planetary ephemerides. We first propose two methods to estimate the PPN parameter $\beta$ and its correlated value, the Sun J2 and we discuss the correlation…

General Relativity and Quantum Cosmology · Physics 2015-05-13 A. Fienga , J. Laskar , P. Kuchynka , C. Leponcin-Lafitte , H. Manche , M. Gastineau

The multidimensional braneworld gravity model by Dvali, Gabadadze and Porrati was primarily put forth to explain the observed acceleration of the expansion of the Universe without resorting to dark energy. One of the most intriguing…

General Relativity and Quantum Cosmology · Physics 2010-01-27 Lorenzo Iorio , Giuseppe Giudice

We report a search for new gravitational physics phenomena based on Einstein-Cartan theory of General Relativity including spacetime torsion. Starting from the parametrized torsion framework of Mao, Tegmark, Guth and Cabi, we analyze the…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Riccardo March , Giovanni Bellettini , Roberto Tauraso , Simone Dell'Agnello

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

We comment on arXiv:1112.1320 and point out that baryonic oscillations of the matter power spectrum, while predicted by theories that do not incorporate collisionless cold dark matter, are strongly suppressed by the statistical window…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-20 J. W. Moffat , V. T. Toth

Under a MONDian view, astrophysical systems are expected to follow Newtonian dynamics whenever the local acceleration is above the critical $a_{0}=1.2 \times 10^{-10} m s^{-2}$, and enter a modified regime for accelerations below this…

Astrophysics of Galaxies · Physics 2017-07-19 X. Hernandez

We present the analysis of 12 high-resolution galactic rotation curves from The HI Nearby Galaxy Survey (THINGS) in the context of modified Newtonian dynamics (MOND). These rotation curves were selected to be the most reliable for mass…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-12 G. Gentile , B. Famaey , W. J. G. de Blok

We derive stronger bounds on the magnetic monopole charge of the proton, and hence on non-associative quantum mechanics from measurements of the magnetic fields of the Earth, the Moon and Mars. Limits are several orders of magnitude…

General Physics · Physics 2019-05-17 Andrea Addazi , Antonino Marciano

Milgromian dynamics (MD or MOND) uniquely predicts motion in a galaxy from the distribution of its stars and gas in a remarkable agreement with observations so far. In the solar system, MD predicts the existence of some possibly…

Earth and Planetary Astrophysics · Physics 2017-07-05 R. Paučo

In previous work it was shown that MOND theories predict anomalously strong tidal stresses near the saddle points of the Newtonian gravitational potential. An analytical examination of the saddle between two bodies revealed a linear and a…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Neil Bevis , Joao Magueijo , Christian Trenkel , Steve Kemble

We present a novel solver for an analogue to Poisson's equation in the framework of modified Newtonian dynamics (MOND). This equation is highly non-linear and hence standard codes based upon tree structures and/or FFT's in general are not…

Astrophysics · Physics 2009-11-13 Claudio Llinares , Alexander Knebe , HongSheng Zhao

All existing treatments of bimetric MOND (BIMOND) -- a class of relativistic versions of MOND -- have dealt with a rather restricted sub-class: The Lagrangian of the interaction between the gravitational degrees of freedom -- the two…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Mordehai Milgrom