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We analyze different types of quantum corrections to the Cardy-Verlinde entropy formula in a Friedmann-Robertson-Walker universe and in an (anti)-de Sitter space. In all cases we show that quantum corrections can be represented by an…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Octavio Obregon , Sergei D. Odintsov , Hernando Quevedo , Mike P. Ryan

Symmetries and transformations are explored in the framework of entropic quantum dynamics. Two conditions arise that are required for any transformation to qualify as a symmetry. The heart of this work lies in the application of these…

Quantum Physics · Physics 2015-05-20 David T. Johnson , Ariel Caticha

Taking into account the temperature corrections of the energy equipartition law for the bits of information that are coarse-grained on the holographic screen leads to a modification of Einstein's gravitational field equations. In the very…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Kazem Rezazadeh

The Renyi entropy coprises a group of data estimates that sums up the well-known Shannon entropy, acquiring a considerable lot of its properties. It appears as unqualified and restrictive entropy, relative entropy, or common data, and has…

General Relativity and Quantum Cosmology · Physics 2023-02-01 H. R. Fazlollahi

Starting with an entropy that includes volumetric, area and length terms as well as logarithmic contributions, we derive the corresponding modified Newtonian gravity and derive the expression for planetary orbits. We calculate the shift of…

General Relativity and Quantum Cosmology · Physics 2021-06-18 G. Pérez-Cuéllar , M. Sabido

There is considerable evidence to suggest that the field equations of gravity have the same status as, say, the equations describing an emergent phenomenon like elasticity. In fact, it is possible to derive the field equations from a…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Dawood Kothawala , T. Padmanabhan

We investigate thermodynamics of apparent horizon in the $f(Q)$ universe with trivial and nontrivial connections. We first explore the perspectives of the first law, generalized second law and $P-V$ phase transition with trivial connection.…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Haomin Rao , Chunhui Liu , Chao-Qiang Geng

We perform an analysis where Einstein's field equation is derived by means of very simple thermodynamical arguments. Our derivation is based on a consideration of the properties of a very small, spacelike two-plane in a uniformly…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Jarmo Makela , Ari Peltola

Recently, Verlinde proposed that gravity is an emergent phenomenon which originates from an entropic force. In this work, we extend Verlinde's proposal to accommodate generalized uncertainty principles (GUP), which are suggested by some…

General Relativity and Quantum Cosmology · Physics 2024-09-20 Adel Awad , Ahmed Farag Ali

We interpret the Brans-Dicke gravity from entropic viewpoint. We first apply the Verlinde's entropic formalism in the Einstein frame, then perform the conformal transformation which connects the Einstein frame to the Jordan frame. The…

High Energy Physics - Theory · Physics 2015-05-28 Ee Chang-Young , Kyoungtae Kimm , Daeho Lee

In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details…

General Relativity and Quantum Cosmology · Physics 2008-10-07 Vladan Pankovic , Simo Ciganovic , Jovan Ivanovic

In this paper, we compute departures in the black hole thermodynamics induced by either geometric or topological corrections to general relativity. Specifically, we analyze the spherically symmetric spacetime solutions of two modified…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Rocco D'Agostino , Orlando Luongo , Stefano Mancini

Motivated by Verlinde's theory of entropic gravity, we give a tentative explanation to Coulomb's law with an entropic force. When trying to do this, we find the equipartition rule should be extended to charges and the concept of temperature…

High Energy Physics - Theory · Physics 2011-02-28 Tower Wang

It is well known that couplings occur among the scalar-, vector-, and tensor-type perturbations of Friedmann world model in the second perturbational order. Here, we prove that, except for the gravitational wave contribution, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Noh , J. Hwang

The dynamic world model and its linear perturbations were first studied in Einstein's gravity. In the system without pressure the relativistic equations coincide exactly with the later known ones in Newton's gravity. Here we prove that,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Hwang , H. Noh

According to the GEVAG (Generalized Entropy Varying-G) framework, any modification to the Bekenstein-Hawking area law would also lead to a varying-$G$ gravity theory in which the effective gravitational constant $G_\text{eff}$ becomes…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Chen-Hao Wu , Yen Chin Ong

Assuming the hypothesis of the entropic nature of gravity, we calculate generalized Newtonian forces, their associated potentials and field equations, when other, in general non-extensive, entropies are considered instead of the usual…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

We consider E. Verlinde's proposal that gravity is an entropic force -- we shall call this theory entropic gravity (EG) -- and reanalyze a recent claim that this theory is in contradiction with the observation of the gravitationally-bound…

High Energy Physics - Theory · Physics 2012-05-23 Masud Chaichian , Markku Oksanen , Anca Tureanu

I discuss the statistical mechanics of gravitating systems and in particular its cosmological implications, and argue that many conventional views on this subject in the foundations of statistical mechanics embody significant confusion; I…

Statistical Mechanics · Physics 2011-11-10 David Wallace

A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum…

General Relativity and Quantum Cosmology · Physics 2013-02-25 Ahmed Farag Ali , A. Tawfik
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