Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics

Calderón, Lucila; Martín, María Teresa; Plastino, A.; Rocca, Mario Carlos; Vampa, Victoria

doi:10.1142/s0217732319500755

Cited by 10 publications

(5 citation statements)

References 7 publications

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“…[30] had made a guess of between gravity and entropic force. That was later proved [31][32][33][34][35][36][37] in a classical scenario. In addition, people proposed that gravity is a 5 Advances in High Energy Physics manifestation of material information through combining a thermal gravitation treatment to Hooft's holographic principle.…”

Section: Entropic Force Between Two Horizonsmentioning

confidence: 88%

Phase Transition and Entropic Force in Reissner-Nordström-de Sitter Spacetime

Zhang

et al. 2022

Advances in High Energy Physics

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In this paper, thermodynamic properties of the Reissner-Nordström-de Sitter (RN-dS) black hole have been studied on the basis of the correlation between the black hole and cosmological horizons. It is found that the RN-dS black hole experiences a phase transition, when its state parameters satisfy certain conditions. From the analysis of the interaction between two horizons in RN-dS spacetime, we get the numerical solution of the interaction between two horizons. It makes us to realize the force between the black hole and cosmological horizons, which can be regarded as a candidate to explain our accelerating expansion universe. That provides a new window to explore the physical mechanism of the cosmic accelerating expansion.

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Section: Entropic Force Between Two Horizonsmentioning

confidence: 88%

Phase Transition and Entropic Force in Reissner-Nordström-de Sitter Spacetime

Zhang

et al. 2022

Advances in High Energy Physics

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“…Gravity emerges as a consequence of information regarding the positions of material bodies, combining a thermal gravitation treatment with 't Hooft's holographic principle. The ensuing conjecture was later proved [24][25][26][27][28][29][30][31] in a classical scenario. Accordingly, gravitation ought to be viewed as an emergent phenomenon.…”

Section: Introductionmentioning

confidence: 91%

“…The definition of the entropic force in the thermodynamic system is [24][25][26][27][28][29][30][31][32][33][34][35][36][37]…”

Section: Entropic Force Between the Two Ho-rizons In Epmd Ds Space-timementioning

confidence: 99%

Entropic force between two horizons of dilaton black holes with a power-Maxwell field *

et al. 2021

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In this paper, we consider -dimensional topological dilaton de Sitter black holes with a power-Maxwell field as thermodynamic systems. The thermodynamic quantities corresponding to the black hole horizon and the cosmological horizon are interrelated. Therefore, the total entropy of the space-time should be the sum of the entropies of the black hole horizon and the cosmological horizon plus a correction term which is produced by the association of the two horizons. We analyze the entropic force produced by the correction term at given temperatures, which is affected by the parameters and dimensions of the space-time. It is shown that the change of entropic force with the position ratio of the two horizons in some regions is similar to that of the variation of the Lennard-Jones force with the position of particles. If the effect of entropic force is similar to that of the Lennard-Jones force, and other forces are absent, the motion of the cosmological horizon relative to the black hole horizon should have an oscillating process. The entropic force between the two horizons is probably one of the participants in driving the evolution of the universe.

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“…Verlinde conjectured ( [130]) that gravity is connected to an entropic force. Three realizations of this conjecture are presented in [86] and two more in [27]. In all five cases, a Tsallis entropy is considered, with q = 4 3 .…”

Section: 2mentioning

confidence: 99%

Entropy- A Tale of Ice and Fire

Hirica¹,

Pripoae²,

Pripoae³

et al. 2023

Annals of West University of Timisoara - Mathematics and Computer Science

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In this review paper, we recall, in a unifying manner, our recent results concerning the Lie symmetries of nonlinear Fokker-Plank equations, associated to the (weighted) Tsallis and Kaniadakis entropies. The special values of the Tsallis parameters, highlighted by the classification of these symmetries, clearly indicate algebraic and geometric invariants which differentiate the Lie algebras involved. We compare these values with the ones previously obtained by several authors, and we try to establish connections between our theoretical families of entropies and specific entropies arising in several applications found in the literature. We focus on the discovered correlations, but we do not neglect dissimilarities, which might provide -in the future-deeper details for an improved extended panorama of the Tsallis entropies.

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Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics

Cited by 10 publications

References 7 publications

Phase Transition and Entropic Force in Reissner-Nordström-de Sitter Spacetime

Phase Transition and Entropic Force in Reissner-Nordström-de Sitter Spacetime

Entropic force between two horizons of dilaton black holes with a power-Maxwell field *

Entropy- A Tale of Ice and Fire

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