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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

MOND is a phenomenological modification of Newton's law of gravitation which reproduces the dynamics of galaxies, without the need for additional dark matter. This paper reviews the basics of MOND and its application to dwarf galaxies. MOND…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Arthur Kosowsky

The self-binding energy and stability of a galaxy in MOND-based gravity are curiously decreasing functions of its center of mass acceleration towards neighbouring mass concentrations. A tentative indication of this breaking of the Strong…

Astrophysics · Physics 2009-11-13 Xufen Wu , HongSheng Zhao , Benoit Famaey , G. Gentile , O. Tiret , F. Combes , G. W. Angus , A. C. Robin

We implement a test of MOND and Verlinde's Emergent Gravity using the galaxy cluster SMACS J0723-7327, which has been recently imaged using the eROSITA X-ray telescope as well as with JWST. We test MOND using two independent methods. The…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Ambica Govind , Shantanu Desai

It is shown that the MOdified Newtonian Dynamics (MOND) explains the tilt of the fundamental plane of elliptical galaxies without the need of non-baryonic dark matter. Results found for elliptical galaxies extends to globular clusters and…

Astrophysics · Physics 2007-05-23 Riccardo Scarpa

In general relativity (GR), the internal dynamics of a self-gravitating system under free-fall in an external gravitational field should not depend on the external field strength. Recent work has claimed a statistical detection of an…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 Aseem Paranjape , Ravi K. Sheth

It has been suggested recently that the change in cosmological redshift (the Sandage test of expansion) could be observed in the next generation of large telescopes and ultra-stable spectrographs. In a recent paper we estimated the change…

Astrophysics · Physics 2014-11-18 Claudia Quercellini , Luca Amendola , Amedeo Balbi

The present constraint on the space parity ($\mathcal{P}$) and time reflection invariance ($\mathcal{T}$) violating electron electric dipole moment ($e$EDM) is based on the observation of the electron spin precession in an external electric…

Atomic Physics · Physics 2021-04-07 D. V. Chubukov , L. V. Skripnikov , A. N. Petrov , V. N. Kutuzov , L. N. Labzowsky

Verlinde's heuristic argument for the interpretation of the standard Newtonian gravitational force as an entropic force is generalized by the introduction of a minimum temperature (or maximum wave length) for the microscopic degrees of…

High Energy Physics - Theory · Physics 2015-05-27 F. R. Klinkhamer , M. Kopp

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

We investigated the impact of three different modifications of Newtonian gravity on motions of Keplerian objects within the Solar System. These objects are located at distances of the order of the distance to the Oort cloud. With these…

Earth and Planetary Astrophysics · Physics 2015-05-19 Michael Sokaliwska , Hans-Joerg Fahr , Pavel Kroupa

For extrasolar planets with orbital periods, P>10 days, radial velocity surveys find non-circular orbital eccentricities are common, <e>~0.3. Future surveys for extrasolar planets using the transit technique will also have sensitivity to…

Astrophysics · Physics 2009-11-13 Christopher J. Burke

We demonstrate how to construct purely metric modifications of gravity which agree with general relativity in the weak field regime appropriate to the solar system, but which possess an ultra-weak field regime when the gravitational…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Cedric Deffayet , Gilles Esposito-Farese , Richard P. Woodard

I discuss open theoretical questions pertaining to the modified dynamics (MOND)--a proposed alternative to dark matter, which posits a breakdown of Newtonian dynamics in the limit of small accelerations. In particular, I point the reasons…

Astrophysics · Physics 2009-11-07 Mordehai Milgrom

We propose that there is a regime of quantum gravity phenomena, for the case that the cosmological constant is small and positive, which concerns phenomena at temperatures below the deSitter temperature, or length scales larger than the…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Lee Smolin

MOdified Newtonian dynamics (MOND) represents a phenomenological alternative to dark matter (DM) for the missing mass problem in galaxies and clusters of galaxies. We analyze the central regions of a local sample of $\sim 220$ early-type…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 C. Tortora , A. J. Romanowsky , V. F. Cardone , N. R. Napolitano , Ph. Jetzer

In this paper a Weyl geometric scalar tensor theory of gravity with scalar field $\Phi$ and scale invariant cubic ("aquadratic") kinetic Lagrangian is introduced. Einstein gauge (comparable to Einstein frame in Jordan-Brans-Dicke theory) is…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Erhard Scholz

McGaugh et al. (2016) have used their extensive SPARC sample to update the well-known mass-discrepancy-acceleration relation (MDAR), which is one of the major predicted "MOND laws". This is not a newly discovered relation. Rather, it…

Astrophysics of Galaxies · Physics 2016-10-10 Mordehai Milgrom

Building upon previous work that derived an alternative to (galactic) dark matter in the form of Modified Newtonian Dynamics (MOND), with a specific theoretical interpolating function, from the motion of a non-relativistic test particle in…

General Relativity and Quantum Cosmology · Physics 2025-11-20 M. E. Pietrzyk , V. A. Kholodnyi , I. V. Kanattšikov , J. Kozicki

A new formulation of MOND as a modified-potential theory of gravity is propounded. In effect, the theory dictates that the MOND potential phi produced by a mass distribution rho is a solution of the Poisson equation for the modified source…

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