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The MOdified Newtonian Dynamics (MOND) is presented here, as well as a theory that can be linked to it: the theory of the Aether, a four-vector field breaking Lorentz invariance. The form of its Lagrangian is studied, then basic equations…

Astrophysics · Physics 2007-10-23 Anaelle Halle

Globular clusters (GCs) in the Milky Way have characteristic velocity dispersions that are consistent with the predictions of Newtonian gravity, and may be at odds with Modified Newtonian Dynamics (MOND). We discuss a modified gravity (MOG)…

Astrophysics · Physics 2008-06-14 J. W. Moffat , V. T. Toth

In this paper a series of high-resolution n-body simulations is presented 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 appropriate…

Astrophysics · Physics 2009-11-07 Alexander Knebe , Brad K. Gibson

Astrophysical observations (usually explained by dark matter) suggest that classical mechanics could break down when the acceleration becomes extremely small (the approach known as modified Newtonian dynamics, or MOND). I present the first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Yu. Ignatiev

The phenomenology of modified Newtonian dynamics (MOND) on galaxy scales may point to more fundamental theories of either modified gravity (MG) or modified inertia (MI). In this paper, we test the applicability of the global deep-MOND…

Astrophysics of Galaxies · Physics 2020-04-22 Jonas Petersen , Federico Lelli

Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a prototypical chaotic system that is frequently used to…

Dynamical Systems · Mathematics 2026-03-03 Kadierdan Kaheman , Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

It is surprising that we hardly know only 5% of the universe. Rest of the universe is made up of 70% of dark-energy and 25% of dark-matter. Dark-energy is responsible for acceleration of the expanding universe; whereas dark-matter is said…

General Physics · Physics 2011-04-06 R. C. Gupta , Anirudh Pradhan

The statistics of high speed satellite galaxies, as reported in the recent literature, can be a powerful diagnosis of the depth of the potential well of the host halo, and hence discriminate between competing gravitational theories. Naively…

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

I present a new class of nonrelativistic, modified-gravity MOND theories. The three gravitational degrees of freedom of these ``TRIMOND'' theories are the MOND potential and two auxiliary potentials, one of which emerges as the Newtonian…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Mordehai Milgrom

Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by…

Astrophysics · Physics 2009-06-23 Luca Amendola , Christos Charmousis , Stephen C. Davis

In modelling galaxy structure formation, neither Cold Dark Matter (CDM) nor canonical Modified Newtonian Dynamics (MOND) (Milgrom [1]) can easily accommodate the appearance of massive galaxies at early times [2]. As a baseline We propose a…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 James C. C. Wong , Ray J. Rivers

Gravity modes are the best probes to study the solar radiative zone dynamics, especially in the nuclear core. These modes remain difficult to observe, but they are essential ingredients for progressing on the evolution of the Sun-Earth…

Astrophysics · Physics 2009-11-11 Sylvaine Turck-Chieze

In order to describe properly the gravity interactions including the mass currents, in the gravitomagnetism we construct four Maxwell type gravitational equations which are shown to be analogs of the Maxwell equations in the…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Soon-Tae Hong

Employing a thermodynamic interpretation of gravity based on the holographic principle and assuming underlying particle statistics, fermionic or bosonic, for the excitations of the holographic screen leads to Modified Newtonian Dynamics…

High Energy Physics - Theory · Physics 2015-05-28 E. Pazy , N. Argaman

A density disturbance in a system of gravitating mass, induced by a moving selected body gives rise to a dynamical screening of Newtonian potential of this body. When applied to the solar planetary system it means that as a result of the…

Astrophysics · Physics 2007-05-23 A. G. Bashkirov , A. V. Vityazev , G. V. Pechernikova

We consider the AQUAL theory - a theory of modified gravity capable of resolving the missing mass problem - and study its predictions for micro gravity tests at the gravitational saddle points of the Solar system. We report that the AQUAL…

General Relativity and Quantum Cosmology · Physics 2013-03-06 Qasem Exirifard

Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream response to this conundrum is to invoke…

Astrophysics of Galaxies · Physics 2017-07-25 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

In default of a fundamental MOND theory -- a FUNDAMOND -- I advocate that, alongside searching for one, we should try to identify predictions that follow from wide classes of MOND theories, if not necessarily from all. In particular,…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Mordehai Milgrom

Modified Newtonian dynamics (MOND) can be obtained by modifying the entropic formulation of gravity, this is achieved by considering the quantum statistical nature of the degrees of freedom on the holographic screen. Through this frame…

General Relativity and Quantum Cosmology · Physics 2013-05-27 Ehoud Pazy