On the existence of the logarithmic correction term in black hole entropy-area relation

Nozari, Kourosh; Sefidgar, A.S.

doi:10.1007/s10714-007-0397-3

Cited by 42 publications

(35 citation statements)

References 18 publications

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“…The position uncertainty δx of absorbed or emitted particle can be chosen as the particle's Compton length, which is equivalent the inverse of Hawking temperature, δx ≃ 2r A = 2(A/(n Ω n )) 1/(n−1) [272]. Thus, the departure function f G (δx 2 ) can be re-expressed…”

Section: Gup and Friedmann Equationmentioning

confidence: 99%

Generalized uncertainty principle: Approaches and applications

Tawfik

Diab

2014

Int. J. Mod. Phys. D

227

284

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We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which are designed to implement the minimal length scale and/or the maximum momentum in different physical systems are analysed entered the literature as the Generalized Uncertainty Principle (GUP). We compare between them. The existence of a minimal length and a maximum momentum accuracy is preferred by various physical observations. Furthermore, assuming modified dispersion relation allows for a wide range of applications in estimating, for example, the inflationary parameters, Lorentz invariance violation, black hole thermodynamics, Saleker-Wigner inequalities, entropic nature of the gravitational laws, Friedmann equations, minimal time measurement and thermodynamics of the high-energy collisions. One of the higher-order GUP approaches gives predictions for the minimal length uncertainty. Another one predicts a maximum momentum and a minimal length uncertainty, simultaneously. An extensive comparison between the different GUP approaches is summarized. We also discuss the GUP impacts on the equivalence principles including the universality of the gravitational redshift and the free fall and law of reciprocal action and on the kinetic energy of composite system. The concern about the compatibility with the equivalence principles, the universality of gravitational redshift and the free fall and law of reciprocal action should be addressed. We conclude that the value of the GUP parameters remain a puzzle to be verified.

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Section: Gup and Friedmann Equationmentioning

confidence: 99%

Generalized uncertainty principle: Approaches and applications

Tawfik

Diab

2014

Int. J. Mod. Phys. D

227

284

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“…[17,18], the sign of the logarithmic prefactor may depend on the type of ensemble one adopts. Also the existence of this logarithmic correction terms is dependent on the dimensionality of spacetime in a fascinating manner [19].…”

Section: Eup-corrected Entropy Of Ads Black Holementioning

confidence: 99%

The role of an invariant IR cutoff in late time cosmological dynamics

Nozari

Dehghani

2019

Physics Letters B

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We study the role of an invariant infra-red cutoff in the late time cosmological dynamics. This low energy cutoff originates from the existence of a minimal measurable uncertainty as a result of the curvature of background manifold, and can be encoded in an extended uncertainty relation. Inspired by black hole entropy-area relation, we extend the analysis to the thermodynamics of apparent horizon of the universe. By treating both the Newtonian and general relativistic cosmologies, we show that the contribution of infra-red cutoff in the equations of dynamics can be interpreted as an effective fluid which is capable of explaining late time cosmic speed up and even transition to a phantom phase of expansion. We use the latest observational data from PLANCK2018 to constrain the parameter of an extended uncertainty relation. 95.36.+x

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“…Particularly, the thermodynamics associated with the outer event horizon of the black hole is related to the fundamental process of Hawking radiation [35]. By modeling the black hole as a d-dimensional cube of size equal to its event horizon radius, r + , the position uncertainty, δx, of the Hawking particle at the emission can be chosen as its Compton wavelength which is proportional to the inverse of the Hawking temperature [36,37,38]. The position uncertainty should then not be greater than a specific scale which is defined as follows [39,40] 2ζ ≥ δx i (12) where, this imposes constraint on the momentum uncertainty and…”

Section: Thermodynamics Of Charged Rotating Micro Black Holementioning

confidence: 99%

Natural cutoffs effect on charged rotating TeV-scale black hole thermodynamics

Soleimani

Abbasvandi

Gopir

et al. 2016

Int. J. Mod. Phys. D

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We study the thermodynamics of charged rotating black hole in large extra dimensions scenario where quantum gravity effects are taken into account. We consider the effects of minimal length, minimal momentum, and maximal momentum as natural cutoffs on the thermodynamics of charged rotating TeV-scale black holes. In this framework the effect of the angular momentum and charge on the thermodynamics of the black hole are discussed. We focus also on frame dragging and Sagnac effect of the micro black holes.

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On the existence of the logarithmic correction term in black hole entropy-area relation

Cited by 42 publications

References 18 publications

Generalized uncertainty principle: Approaches and applications

Generalized uncertainty principle: Approaches and applications

The role of an invariant IR cutoff in late time cosmological dynamics

Natural cutoffs effect on charged rotating TeV-scale black hole thermodynamics

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