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We discuss consequences of an entropic view of gravity, which differs in details from the original proposals of Jacobson and Verlinde. We assume the entropy is localized in the degrees of freedom of the systems interacting gravitationally.…

High Energy Physics - Theory · Physics 2013-09-27 Paul H. Frampton , Gabriel Karl

In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between…

General Physics · Physics 2015-11-09 Everton M. C. Abreu , Jorge Ananias Neto , Albert C. R. Mendes , Daniel O. Souza

The quest for a microscopic foundation of Thermodynamics is addressed within the Nonunitary Newtonian Gravity model through the study of a specific closed system, namely a three-dimensional harmonic nanocrystal. A numerical calculation of…

Statistical Mechanics · Physics 2020-03-12 Sergio De Filippo , Filippo Maimone , Adele Naddeo , Giovanni Scelza

We offer some, hopefully clarifying, comments on Verlinde's recent claim that gravity is an entropic force. A suitable identification of quantities shows that both formulations of Newtonian gravity, the classical and the thermodynamical…

General Relativity and Quantum Cosmology · Physics 2010-03-05 Sabine Hossenfelder

Some time ago, it has been suggested that gravitons can acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields [Chamseddine and Mukhanov, JHEP, 2010]. Taking this…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Kimet Jusufi , Ahmed Farag Ali , Abdelrahman Yasser , Nader Inan , A. Y. Ellithi

An important and useful relation is known to hold in two specific MOND theories. It pertains to low-acceleration, isolated systems of pointlike masses, m_p, at positions r_p, subject to gravitational forces F_p. It reads sum_p…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Mordehai Milgrom

We try to study the thermodynamical features of a non-commutative inspired Schwarzschild-anti-deSitter black hole in the context of entropic gravity model, particularly for the model that is employed in a broad range of scales, from the…

General Physics · Physics 2014-09-19 S. Hamid Mehdipour

The widely accepted dark matter hypothesis offers a seductive solution to missing mass problems (galaxies, clusters of galaxies, gravitational collapse in structure formation,...). However the physical nature of the Dark Matter itself is…

Astrophysics · Physics 2007-05-23 Etienne Pointecouteau

We study the statistical mechanics of binary systems under gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems, in the microcanonical and canonical ensembles, we…

Statistical Mechanics · Physics 2021-09-15 Mohammad H. Zhoolideh Haghighi , Sohrab Rahvar , M Reza Rahimi Tabar

It has been recently proposed that the interpretation of gravity as an emergent, entropic force might have nontrivial implications to cosmology. Here two approaches are investigated: in one, the Friedman equation receives entropic…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-18 Tomi S. Koivisto , David F. Mota , Miguel Zumalacarregui

MOdified Newtonian Dynamics (MOND) is an alternative to the standard Cold Dark Matter (CDM) paradigm which proposes an alteration of Newton's laws of motion at low accelerations, characterized by a universal acceleration scale a_0. It…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Alexander C. Mayer , Adelheid F. Teklu , Klaus Dolag , Rhea-Silvia Remus

A modified Newton's gravity is obtained as the weak field approximation of the Einstein's equation in Finsler space. It is found that a specified Finsler structure makes the modified Newton's gravity equivalent to the modified Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhe Chang , Xin Li

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

The relative entropy between very high energy localized excitations and the vacuum, where both states are reduced to a spatial region, gives place to a precise definition of a local temperature produced by vacuum entanglement across the…

High Energy Physics - Theory · Physics 2017-12-06 Raul Arias , Horacio Casini , Marina Huerta , Diego Pontello

We give a simple argument to show that no purely metric-based, relativistic formulation of Milgrom's Modified Newtonian Dynamics (MOND) whose energy functional is stable (in the sense of being quadratic in perturbations) can be consistent…

Astrophysics · Physics 2014-10-13 M. E. Soussa , R. P. Woodard

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Martin Bojowald , Erick I. Duque

We find a connection between relativistic Modified Newtonian Dynamics (MOND) theories and (scalar) mimetic gravity. We first demonstrate that any relativistic MOND model featuring a unit-timelike vector field, such as TeVeS or…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Guillem Domènech , Alexander Ganz

In this paper, we generalize Verlinde's entropic gravity proposal on the other fundamental interactions of nature. We begin by introducing the entropic origin of the Coulomb's electrostatic force, and then the magnetic force, by assuming…

General Physics · Physics 2019-05-20 Emre Dil , Tugrul Yumak

We present a new test of modified Newtonian dynamics (MOND) on galactic scales, based on the escape speed in the solar neighbourhood. This test is independent from other empirical successes of MOND at reproducing the phenomenology of…

Astrophysics · Physics 2009-10-08 Benoit Famaey , Jean-Philippe Bruneton , HongSheng Zhao

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