GUP parameter and black-hole temperature

Vagenas, Elias C.; Alsaleh, Salwa; Ali, Ahmed Farag

doi:10.1209/0295-5075/120/40001

Cited by 54 publications

(31 citation statements)

References 44 publications

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“…A similar result has been recently recovered in Ref. [55], where, by conjecturing the equality between the GUP-deformed black hole temperature of a Schwarzschild black hole and the modified Hawking temperature of a quantum-corrected Schwarzschild black hole, it has been obtained a GUP parameter depending on the ratio m p /M .…”

Section: Discussionsupporting

confidence: 81%

Generalized uncertainty principle and corpuscular gravity

2019

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We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein condensate of weakly interacting gravitons stuck at the critical point of a quantum phase transition. In particular, we prove that the GUP-induced shift of the Hawking temperature can be reinterpreted in terms of non-thermal corrections to the spectrum of the black hole radiation, in accordance with the corpuscular gravity picture. By comparing the two scenarios, we are able to estimate the GUP deformation parameter β, which turns out to be of the order of unity, in agreement with the expectations of some models of string theory. We also comment on the sign of β, exploring the possibility of having a negative deformation parameter when a corpuscular quantum description of the gravitational interaction is assumed to be valid.

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Section: Discussionsupporting

confidence: 81%

Generalized uncertainty principle and corpuscular gravity

2019

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“…Next, we argue that the deformed QRE metric would imply a quantum correction to Newton's law, similar to the one obtained from the tree diagrams of graviton exchange in the weak field limit [21,22]. It has already been shown that the GUP corrections have a thermal nature [19], and that both quadratic and linear-quadratic GUP deformations correspond to the tree-level correction to the Schwarzschild metric [19,20,23]. To explicitly show the above correspondence between QRE and GUP, we need to relate the two deformation parameters.…”

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confidence: 61%

The GUP and quantum Raychaudhuri equation

et al. 2018

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In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalized uncertainty principle, with the corrections from the quantum Raychaudhuri equation. The reason for this comparison is to connect the deformation parameters β0 and α0 with η which is the parameter that characterizes the quantum Raychaudhuri equation. The derived relation between the parameters appears to depend on the relative scale of the system (black hole), which could be read as a beta function equation for the quadratic deformation parameter β0. This study shows a correspondence between the two phenomenological approaches and indicates that quantum Raychaudhuri equation implies the existence of a crystal-like structure of spacetime.

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“…Following Ref. [70,71], for a line element parametrized as in Eq. (6), the associated horizon temperature can be written as…”

Section: Gup and Scale-dependent Bh Temperaturementioning

confidence: 99%

Scale-dependent Hayward black hole and the generalized uncertainty principle

Contreras

Bargueño

2018

Mod. Phys. Lett. A

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In this work we present a technique to obtain bounds on the generalized uncertainty principle deformation parameter by using an improved Schwarzschild solution represented by the Hayward metric in the context of scale-dependent gravity. Specifically, this deformation parameter can be interpreted in terms of a running parameter which controls the deviation from the standard Einstein-Hilbert action in the scale-dependent scenario.

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GUP parameter and black-hole temperature

Cited by 54 publications

References 44 publications

Generalized uncertainty principle and corpuscular gravity

Generalized uncertainty principle and corpuscular gravity

The GUP and quantum Raychaudhuri equation

Scale-dependent Hayward black hole and the generalized uncertainty principle

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