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Articles de revues sur le sujet « Entropic gravity »

Auteur : Grafiati

Publié le 7 juin 2025

Mis à jour le 2 août 2025

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1

Feng, Zhong-Wen, and Shu-Zheng Yang. "Rainbow Gravity Corrections to the Entropic Force." Advances in High Energy Physics 2018 (2018): 1–8. http://dx.doi.org/10.1155/2018/5968284.

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The entropic force attracts a lot of interest for its multifunctional properties. For instance, Einstein’s field equation, Newton’s law of gravitation, and the Friedmann equation can be derived from the entropic force. In this paper, utilizing a new kind of rainbow gravity model that was proposed by Magueijo and Smolin, we explore the quantum gravity corrections to the entropic force. First, we derive the modified thermodynamics of a rainbow black hole via its surface gravity. Then, according to Verlinde’s theory, the quantum corrections to the entropic force are obtained. The result shows tha

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CHEN, PISIN, and CHIAO-HSUAN WANG. "QUANTUM CORRECTIONS TO ENTROPIC GRAVITY." Modern Physics Letters A 28, no. 03 (2013): 1340010. http://dx.doi.org/10.1142/s0217732313400105.

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The entropic gravity scenario recently proposed by Erik Verlinde reproduced Newton's law of purely classical gravity yet the key assumptions of this approach all have quantum mechanical origins. As is typical for emergent phenomena in physics, the underlying, more fundamental physics often reveals itself as corrections to the leading classical behavior. So one naturally wonders: where is ℏ hiding in entropic gravity? To address this question, we first revisit the idea of holographic screen as well as entropy and its variation law in order to obtain a self-consistent approach to the problem. Ne

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Sefiedgar, Akram Sadat. "How can rainbow gravity affect gravitational force?" International Journal of Modern Physics D 25, no. 14 (2016): 1650101. http://dx.doi.org/10.1142/s0218271816501017.

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According to Verlinde’s recent proposal, the gravity is originally an entropic force. In this paper, we obtain the corrections to the entropy-area law of black holes within rainbow gravity. The corrected entropy-area law leads to the modifications of the number of bits [Formula: see text]. Inspired by Verlinde’s argument on the entropic force, and using the modified number of bits, we can investigate the effects of rainbow gravity on the modified Newtonian dynamics, Newton’s law of gravitation, and Einstein’s general relativity in entropic force approach.

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denis, olivier. "Entropic Information Theory: Formulae and Quantum Gravity; Bits from Bit." Physical Science International Journal 25, no. 9 (2021): 23–30. https://doi.org/10.9734/psij/2021/v25i930281.

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We show here that entropic information is capable of unifying all aspects of the universe at all scales in a coherent and global theoretical mathematical framework materialized by entropic information framework, theory and formulas, where dark matter, dark energy and gravity are truly informationals processes and where information is code and code is what creates the process, it is itself the process. Mass, energy and movement of information are respectively dark matter, dark energy, and gravity. Here, we reconcile general relativity and quantum mechanics by introducing quantum gravity for the

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Pérez-Cuéllar, Gemma, and Miguel Sabido. "On Planetary Orbits, Ungravity and Entropic Gravity." Universe 10, no. 10 (2024): 386. http://dx.doi.org/10.3390/universe10100386.

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In previous works, entropic gravity and ungravity have been considered as possible solutions to the dark energy and dark matter problems. To test the viability of these models, modifications to planetary orbits are calculated for ungravity and different models of entropic gravity. Using the gravitational sector of unparticles, an equation for the contribution to the effect of orbital precession is obtained. We conclude that the estimated values for the ungravity parameters from planetary orbits are inconsistent with the values needed for the cosmological constant. The same ideas are explored f

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García-Islas, J. Manuel. "Entropic motion in loop quantum gravity." Canadian Journal of Physics 94, no. 6 (2016): 569–73. http://dx.doi.org/10.1139/cjp-2015-0730.

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Entropic forces result from an increase of the entropy of a thermodynamical physical system. It has been proposed that gravity is such a phenomenon and many articles have appeared in the literature concerning this problem. We propose a method that may reproduce an entropic force and may be related to loop quantum gravity. By considering the interaction between a fixed gravity state space and a particle state in loop quantum gravity, we show that it leads to a mathematical description of a random walk of such a particle. The random walk, in special situations, can be seen as an entropic motion

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Senay, Mustafa, and Salih Kibaroğlu. "q-deformed Einstein equations from entropic force." International Journal of Modern Physics A 33, no. 36 (2018): 1850218. http://dx.doi.org/10.1142/s0217751x18502184.

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In this study, we investigate the influences of fermionic q-deformation on the Einstein equations by taking into account of Verlinde’s entropic gravity approach and Strominger’s proposal on quantum black holes. According to Verlinde’s proposal, gravity is interpreted as an entropic force. Moreover, Strominger’s suggestion claims that extremal black holes obey deformed statistics instead of the standard Bose or Fermi statistics. Inspired by Verlinde’s and Strominger’s suggestions, we represent some thermostatistical functions of VPJC-type q-deformed fermion gas model for the high-temperature li

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Plastino, Angelo, and Mario Carlos Rocca. "Entropic Forces and Newton’s Gravitation." Entropy 22, no. 3 (2020): 273. http://dx.doi.org/10.3390/e22030273.

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Our subject of interest here is entropic forces, as re-interpreted by Verlinde with reference to gravitation, that is, by appealing to Verlinde’s conception of an entropic (statistically emergent) gravity advanced in [Physica A 2018, 511, 139]. In a canonical ensemble framework, we will deal with a non relativistic quantum scenario. In it, we perform a non-relativistic Schrödinger treatment (ST) of gravity as an entropic force and are able to detect new kinds of bounded quantum gravitational states, not previously reported. These new bound states would provide us with a novel energy-source, no

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Yang, Rongjia. "Is Gravity Entropic Force?" Entropy 16, no. 8 (2014): 4483–88. http://dx.doi.org/10.3390/e16084483.

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Wang, Tower. "Modified entropic gravity revisited." Science China Physics, Mechanics & Astronomy 57, no. 9 (2014): 1623–29. http://dx.doi.org/10.1007/s11433-014-5545-7.

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Schlatter, A., and R. E. Kastner. "On Mach’s Principle in Entropic Gravity." Foundations 4, no. 2 (2024): 146–55. http://dx.doi.org/10.3390/foundations4020011.

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The question of where the inertial properties of matter come from has been open for a long time. Isaac Newton considered inertia an intrinsic property of matter. Ernst Mach held a different view whereby the inertia of a body comes from its interaction with the rest of the universe. This idea is known today as Mach’s principle. We discuss Mach’s principle based on transactional gravity, the recently developed connection of entropic gravity to the physics of quantum events, induced by transactions. It is shown that Mach’s principle holds and that there is a fundamental relation between the gravi

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SANTOS, M. A., and I. V. VANCEA. "ENTROPIC LAW OF FORCE, EMERGENT GRAVITY AND THE UNCERTAINTY PRINCIPLE." Modern Physics Letters A 27, no. 02 (2012): 1250012. http://dx.doi.org/10.1142/s0217732312500125.

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The entropic formulation of the inertia and the gravity relies on quantum, geometrical and informational arguments. The fact that the results are completely classical is misleading. In this paper, we argue that the entropic formulation provides new insights into the quantum nature of the inertia and the gravity. We use the entropic postulate to determine the quantum uncertainty in the law of inertia and in the law of gravity in the Newtonian Mechanics, the Special Relativity and in the General Relativity. These results are obtained by considering the most general quantum property of the matter

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KLINKHAMER, F. R. "ENTROPIC-GRAVITY DERIVATION OF MOND." Modern Physics Letters A 27, no. 11 (2012): 1250056. http://dx.doi.org/10.1142/s0217732312500563.

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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 another characteristic of MOND can also be recovered, namely, the external field effect (implying a violation of the Strong Equivalence Principle). In fact, the derivation gives precisely the modified Poisson equation which Bekenstein and Milgrom proposed as a consistent nonrelativistic theory of MOND.

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EE, CHANG-YOUNG, MYUNGSEOK EUNE, KYOUNGTAE KIMM, and DAEHO LEE. "SURFACE GRAVITY AND HAWKING TEMPERATURE FROM ENTROPIC FORCE VIEWPOINT." Modern Physics Letters A 25, no. 33 (2010): 2825–30. http://dx.doi.org/10.1142/s0217732310033979.

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We consider a freely falling holographic screen for the Schwarzschild and Reissner–Nordström black holes and evaluate the entropic force à la Verlinde. When the screen crosses the event horizon, the temperature of the screen agrees to the Hawking temperature and the entropic force gives rise to the surface gravity for both of the black holes.

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Plastino, Angelo, and M. C. Rocca. "Statistical Mechanics-Based Schrödinger Treatment of Gravity." Entropy 21, no. 7 (2019): 682. http://dx.doi.org/10.3390/e21070682.

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The entropic gravity conception proposes that what has been traditionally interpreted as unobserved dark matter might be merely the product of quantum effects. These effects would produce a novel sort of positive energy that translates into dark matter via E = m c 2 . In the case of axions, this perspective has been shown to yield quite sensible, encouraging results [DOI:10.13140/RG.2.2.17894.88641]. Therein, a simple Schrödinger mechanism was utilized, in which his celebrated equation is solved with a potential function based on the microscopic Verlinde’s entropic force advanced in [Physica A

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Puertas-Centeno, David, and Mariela Portesi. "Entropic Analysis of the Quantum Oscillator with a Minimal Length." Proceedings 12, no. 1 (2019): 57. http://dx.doi.org/10.3390/proceedings2019012057.

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The well-known Heisenberg–Robertson uncertainty relation for a pair of noncommuting observables, is expressed in terms of the product of variances and the commutator among the operators, computed for the quantum state of a system. Different modified commutation relations have been considered in the last years with the purpose of taking into account the effect of quantum gravity. Indeed it can be seen that letting [ X , P ] = i ℏ ( 1 + β P 2 ) implies the existence of a minimal length proportional to β . The Bialynicki-Birula–Mycielski entropic uncertainty relation in terms of Shannon entropies

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Kibaroğlu, Salih, and Mustafa Senay. "Friedmann equations for deformed entropic gravity." International Journal of Modern Physics D 29, no. 06 (2020): 2050042. http://dx.doi.org/10.1142/s021827182050042x.

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In this study, we investigate the effects of the one- and two-parameters deformed systems on the Friedmann equations of the Friedmann–Robertson–Walker (FRW) universe by using the entropic gravity approach in the framework of the early universe era. We give simplified forms for the deformed Unruh temperature and Einstein field equations for three different deformed systems. Based on these compact equations, we derive the Friedmann equations with the effective gravitational and cosmological terms.

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Gao, Shan. "Is Gravity an Entropic Force?" Entropy 13, no. 5 (2011): 936–48. http://dx.doi.org/10.3390/e13050936.

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Zheng, Chunming, and Dongcheng Mei. "Gravity separation by entropic transport." EPL (Europhysics Letters) 109, no. 1 (2015): 10006. http://dx.doi.org/10.1209/0295-5075/109/10006.

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Mann, R. B., and J. R. Mureika. "(1+1)-dimensional entropic gravity." Physics Letters B 703, no. 2 (2011): 167–71. http://dx.doi.org/10.1016/j.physletb.2011.07.052.

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Sheykhi, A., H. Moradpour, and N. Riazi. "Lovelock gravity from entropic force." General Relativity and Gravitation 45, no. 5 (2013): 1033–49. http://dx.doi.org/10.1007/s10714-013-1509-x.

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22

Nunes, Rafael C., Hooman Moradpour, Edésio M. Barboza, Everton M. C. Abreu, and Jorge Ananias Neto. "Entropic gravity from noncommutative black holes." International Journal of Geometric Methods in Modern Physics 15, no. 01 (2017): 1850004. http://dx.doi.org/10.1142/s0219887818500044.

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In this paper, we investigated the effects of a noncommutative (NC) space-time on the dynamics of the Universe. We generalize the black hole entropy for a NC black hole. Then, using the entropic gravity formalism, we will show that the noncommutativity changes the strength of the gravitational field. By applying this result to a homogeneous and isotropic Universe containing nonrelativistic matter and a cosmological constant, we show that the modified scenario by the noncommutativity of the space-time is a better fit to the obtained data than the standard one at 68% CL.

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Tessarotto, Massimo, and Claudio Cremaschini. "Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity." Entropy 21, no. 4 (2019): 418. http://dx.doi.org/10.3390/e21040418.

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Based on the introduction of a suitable quantum functional, identified here with the Boltzmann–Shannon entropy, entropic properties of the quantum gravitational field are investigated in the framework of manifestly-covariant quantum gravity theory. In particular, focus is given to gravitational quantum states in a background de Sitter space-time, with the addition of possible quantum non-unitarity effects modeled in terms of an effective quantum graviton sink localized near the de Sitter event horizon. The theory of manifestly-covariant quantum gravity developed accordingly is shown to retain

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Dil, Emre. "Can quantum black holes be (q, p)-fermions?" International Journal of Modern Physics A 32, no. 15 (2017): 1750080. http://dx.doi.org/10.1142/s0217751x17500804.

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In this study, to investigate the very nature of quantum black holes, we try to relate three independent studies: (q, p)-deformed Fermi gas model, Verlinde’s entropic gravity proposal and Strominger’s quantum black holes obeying the deformed statistics. After summarizing Strominger’s extremal quantum black holes, we represent the thermostatistics of (q, p)-fermions to reach the deformed entropy of the (q, p)-deformed Fermi gas model. Since Strominger’s proposal claims that the quantum black holes obey deformed statistics, this motivates us to describe the statistics of quantum black holes with

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Kibaroğlu, Salih. "Generalized entropic gravity from modified Unruh temperature." International Journal of Modern Physics A 34, no. 22 (2019): 1950119. http://dx.doi.org/10.1142/s0217751x19501197.

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In this study, the effects of the generalized uncertainty principle on the theory of gravity are analyzed. Inspired by Verlinde’s entropic gravity approach and using the modified Unruh temperature, the generalized Einstein field equations with cosmological constant are obtained and corresponding conservation law is investigated. The resulting conservation law of energy–momentum tensor dictates that the generalized Einstein field equations are valid in a very limited range of accelerations. Moreover, the modified Newton’s law of gravity and the modified Poisson equation are derived. In a certai

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Dil, Emre. "q-Deformed Einstein equations." Canadian Journal of Physics 93, no. 11 (2015): 1274–78. http://dx.doi.org/10.1139/cjp-2015-0129.

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In this study, we consider three independent physical studies and try to combine them to find an interesting result. Ubriaco’s q-deformed bosons and Verlinde’s entropic gravity studies are taken into account to find the deformed Einstein equations for describing the gravitational field of deformed objects, such as, Strominger’s black holes obeying the deformed Bose or Fermi statistics. We consider the gravitation as an entropic force, as in Verlinde’s approach and assume the source of gravitation is the q-deformed bosons of Ubriaco. Consequently, we obtain the deformed Einstein equations for t

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Nojiri, Shin’ichi, Sergei D. Odintsov, and Tanmoy Paul. "Different Aspects of Entropic Cosmology." Universe 10, no. 9 (2024): 352. http://dx.doi.org/10.3390/universe10090352.

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We provide a short review of the recent developments in entropic cosmology based on two thermodynamic laws of the apparent horizon, namely the first and the second laws of thermodynamics. The first law essentially provides the change in entropy of the apparent horizon during the cosmic evolution of the universe; in particular, it is expressed by TdS=−d(ρV)+WdV (where W is the work density and other quantities have their usual meanings). In this way, the first law actually links various theories of gravity with the entropy of the apparent horizon. This leads to a natural question—“What is the f

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HE, XIAO-GANG, and BO-QIANG MA. "QUANTIZATION OF BLACK HOLES." Modern Physics Letters A 26, no. 30 (2011): 2299–304. http://dx.doi.org/10.1142/s0217732311036577.

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We show that black holes can be quantized in an intuitive and elegant way with results in agreement with conventional knowledge of black holes by using Bohr's idea of quantizing the motion of an electron inside the atom in quantum mechanics. We find that properties of black holes can also be derived from an ansatz of quantized entropy [Formula: see text], which was suggested in a previous work to unify the black hole entropy formula and Verlinde's conjecture to explain gravity as an entropic force. Such an Ansatz also explains gravity as an entropic force from quantum effect. This suggests a w

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Schlatter, Andreas. "On the Value of the Cosmological Constant in Entropic Gravity." Foundations 4, no. 3 (2024): 336–44. http://dx.doi.org/10.3390/foundations4030022.

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We explicitly calculate the value of the cosmological constant, Λ, based on the recently developed theory connecting entropic gravity with quantum events induced by transactions, called transactional gravity. We suggest a novel interpretation of the cosmological constant and rigorously show its inverse proportionality to the squared radius of the causal universe Λ~RU−2.

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Ipek, Selman, and Ariel Caticha. "The Entropic Dynamics of Quantum Scalar Fields Coupled to Gravity." Symmetry 12, no. 8 (2020): 1324. http://dx.doi.org/10.3390/sym12081324.

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Entropic dynamics (ED) are a general framework for constructing indeterministic dynamical models based on entropic methods. ED have been used to derive or reconstruct both non-relativistic quantum mechanics and quantum field theory in curved space-time. Here we propose a model for a quantum scalar field propagating in dynamical space-time. The approach rests on a few key ingredients: (1) Rather than modelling the dynamics of the fields, ED models the dynamics of their probabilities. (2) In accordance with the standard entropic methods of inference, the dynamics are dictated by information enco

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Pérez-Cuéllar, G., and M. Sabido. "On planetary orbits in entropic gravity." Modern Physics Letters A 36, no. 08 (2021): 2150050. http://dx.doi.org/10.1142/s0217732321500504.

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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 the perihelion of Mercury to find bounds to the parameters associated to the modified Newtonian gravity. We compare the parameter associated to the volumetric contribution in the entropy-area relationship with the value derived for galactic rotation curves and the value obtained from the cosmological constant.

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Chaichian, M., M. Oksanen, and A. Tureanu. "On gravity as an entropic force." Physics Letters B 702, no. 5 (2011): 419–21. http://dx.doi.org/10.1016/j.physletb.2011.07.019.

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Chang-Young, Ee, Kyoungtae Kimm, and Daeho Lee. "Brans–Dicke gravity from entropic viewpoint." Classical and Quantum Gravity 29, no. 8 (2012): 085004. http://dx.doi.org/10.1088/0264-9381/29/8/085004.

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Xiao, Yong, and Shi-Yang Bai. "On the entropy variation in the scenario of entropic gravity." Physics Letters B 780 (May 2018): 34–36. http://dx.doi.org/10.1016/j.physletb.2018.02.057.

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Xu, Hao, Yuan Sun, and Liu Zhao. "Black hole thermodynamics and heat engines in conformal gravity." International Journal of Modern Physics D 26, no. 13 (2017): 1750151. http://dx.doi.org/10.1142/s0218271817501516.

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The extended phase-space thermodynamics and heat engines for static spherically symmetric black hole solutions of four-dimensional conformal gravity are studied in detail. It is argued that the equation of states (EOS) for such black holes is always branched, any continuous thermodynamical process cannot drive the system from one branch of the EOS into another branch. Meanwhile, the thermodynamical volume is bounded from above, making the black holes always super-entropic in one branch and may also be super-entropic in another branch in certain range of the temperature. The Carnot and Stirling

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Lima, Williams A., Cristiano M. Martins, João B. Silva, and Valeria C. Barbosa. "Total variation regularization for depth-to-basement estimate: Part 2 — Physicogeologic meaning and comparisons with previous inversion methods." GEOPHYSICS 76, no. 1 (2011): I13—I20. http://dx.doi.org/10.1190/1.3524547.

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We applied the mathematical basis of the total variation (TV) regularization to analyze the physicogeologic meaning of the TV method and compared it with previous gravity inversion methods (weighted smoothness and entropic Regularization) to estimate discontinuous basements. In the second part, we analyze the physicogeologic meaning of the TV method and compare it with previous gravity inversion methods (weighted smoothness and entropic regularization) to estimate discontinuous basements. Presenting a mathematical review of these methods, we show that minimizing the TV stabilizing function fav

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Bianconi, Ginestra. "The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law." Entropy 27, no. 3 (2025): 266. https://doi.org/10.3390/e27030266.

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The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black hole for an arbitrary Schwarzschild radius. The quantum relative entropy between the metric of the manifold and the metric induced by the geometry and the matter field has been proposed in G. Bianconi as the action for entropic quantum gravity leading to modified Einstein equations. The quantum relative entropy generalizes Araki’s entropy and

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ZHAO, YUE. "ENTROPIC FORCE AND ITS FLUCTUATION IN EUCLIDEAN QUANTUM GRAVITY." International Journal of Modern Physics A 26, no. 09 (2011): 1639–50. http://dx.doi.org/10.1142/s0217751x11052967.

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In this paper, we study the idea about gravity as entropic force proposed by Verlinde. By interpreting Euclidean gravity in the language of thermodynamic quantities on holographic screen, we find the gravitational force can be calculated from the change of entropy on the screen. We show that normal gravity calculation can be reinterpreted in the language of thermodynamic variables. We also study the fluctuation of the force and find the fluctuation acting on the point-like particle can never be larger than the expectation value of the force. For a black hole in AdS space, by gauge/gravity dual

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Shalyt-Margolin, A. E. "Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits—Part I: An Ultraviolet Case." Advances in High Energy Physics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/384084.

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This work presents a study of the possibility for extending the well-known results of E. Verlinde concerning the entropic nature of gravity to the ultraviolet region (Planck’s energies) and also the derivation of quantum corrections to Einstein Equations.

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MUREIKA, J. R., and R. B. MANN. "DOES ENTROPIC GRAVITY BOUND THE MASSES OF THE PHOTON AND GRAVITON?" Modern Physics Letters A 26, no. 03 (2011): 171–81. http://dx.doi.org/10.1142/s0217732311034840.

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If the information transfer between test particle and holographic screen in entropic gravity respects both the uncertainty principle and causality, a lower limit on the number of bits in the universe relative to its mass may be derived. Furthermore, these limits indicate particles that putatively travel at the speed of light — the photon and/or graviton — have a nonzero mass m ≥10-68 kg . This result is found to be in excellent agreement with current experimental mass bounds on the graviton and photon, suggesting that entropic gravity may be the result of a (recent) softly-broken local symmetr

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Filippo, Sergio, and Filippo Maimone. "Entropic localization in non-unitary Newtonian gravity." Entropy 6, no. 1 (2004): 153–57. http://dx.doi.org/10.3390/e6010153.

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Kibaroğlu, Salih, and Mustafa Senay. "Anisotropic cosmology in q-deformed entropic gravity." Nuclear Physics B 1012 (March 2025): 116820. https://doi.org/10.1016/j.nuclphysb.2025.116820.

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Sheykhi, A., and Z. Teimoori. "Modified Friedmann equations from Debye entropic gravity." General Relativity and Gravitation 44, no. 5 (2012): 1129–41. http://dx.doi.org/10.1007/s10714-012-1330-y.

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Dribus, Benjamin. "Entropic Phase Maps in Discrete Quantum Gravity." Entropy 19, no. 7 (2017): 322. http://dx.doi.org/10.3390/e19070322.

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Neto, Jorge Ananias. "Nonhomogeneous Cooling, Entropic Gravity and MOND Theory." International Journal of Theoretical Physics 50, no. 11 (2011): 3552–59. http://dx.doi.org/10.1007/s10773-011-0863-2.

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Violeta N, Nikolić. "Calculation of the influence of the entropy of stars on the Earth's exosphere and the theory of entropic gravity." Annals of Mathematics and Physics 6, no. 2 (2023): 178–81. http://dx.doi.org/10.17352/amp.000099.

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In the first part of this study, the entropic contribution of star objects, observable during the night between November 13 and 14, 2021, in the sky above Belgrade (Lat. 44o 49' 04'' N, Long. 20o 27' 25'' E, mean Elev. 117 m), Serbia, to the thermodynamic equilibrium of the Earth's exosphere, was determined. In the second part of the study, the force of gravitational attraction between the considered star objects and the Earth was calculated, by applying entropic gravity theory. The obtained results shed new light on the importance of star objects for sustaining the Earth's thermodynamic syste

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KISELEV, V. V., and S. A. TIMOFEEV. "THE SURFACE DENSITY OF HOLOGRAPHIC ENTROPY." Modern Physics Letters A 25, no. 26 (2010): 2223–30. http://dx.doi.org/10.1142/s0217732310033608.

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On the basis of postulates for the holographic description of gravity and the introduction of entropic force, for static sources we derive the universal law: the entropy of a holographic screen is equal to quarter of its area in the Planck system of units.

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Kibaroğlu, Salih, and Mustafa Senay. "Effects of bosonic and fermionic q-deformation on the entropic gravity." Modern Physics Letters A 34, no. 31 (2019): 1950249. http://dx.doi.org/10.1142/s0217732319502493.

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In this paper, we study thermodynamical contributions to the theory of gravity under the q-deformed boson and fermion gas models. According to Verlinde’s proposal, the law of gravity is not based on a fundamental interaction but it emerges as an entropic force from the changes of entropy associated with the information on the holographic screen. In addition, Strominger shows that the extremal quantum black holes obey neither boson nor fermion statistics, but they obey deformed statistic. Using these notions, we find q-deformed entropy and temperature functions. We also present the contribution

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KLINKHAMER, F. R., and M. KOPP. "ENTROPIC GRAVITY, MINIMUM TEMPERATURE, AND MODIFIED NEWTONIAN DYNAMICS." Modern Physics Letters A 26, no. 37 (2011): 2783–91. http://dx.doi.org/10.1142/s021773231103711x.

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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 freedom on the holographic screen. With the simplest possible setup, the resulting gravitational acceleration felt by a test mass m from a point mass M at a distance R is found to be of the form of the modified Newtonian dynamics (MOND) as suggested by Milgrom. The corresponding MOND-type acceleration constant is proportional to the minimum temperature, which ca

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Sadiq, M. "The holographic principle, the equipartition of energy and Newton’s gravity." Modern Physics Letters A 32, no. 39 (2017): 1771003. http://dx.doi.org/10.1142/s0217732317710031.

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Assuming the equipartition of energy to hold on a holographic sphere, Erik Verlinde demonstrated that Newton’s gravity follows as an entropic force. Some comments are in place about Verlinde’s assumptions in his derivation. It is pointed out that the holographic principle allows for freedom up to a free scale factor in the choice of Planck scale area while leading to classical gravity. Similarity of this free parameter with the Immirzi parameter of loop quantum gravity is discussed. We point out that the equipartition of energy is inbuilt into the holographic principle and, therefore, need not

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