GUP parameter from maximal acceleration

Luciano, Giuseppe Gaetano; Petruzziello, Luciano

doi:10.1140/epjc/s10052-019-6805-5

Cited by 78 publications

(59 citation statements)

References 78 publications

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“…Since δS m directly depends on the Unruh temperature, its possible modifications due to quantum gravity effects need to be considered. Recently, quantum gravity corrections to the Unruh temperature formula were suggested in the context of GUP [49,50], following earlier proposal of such corrections to Hawking temperature [5]. While several slightly different formulas appear in the literature, all include a leading order correction term proportional to T 3 ∝ a 3 , with T being the standard Unruh temperature.…”

Section: Derivation From Mvehmentioning

confidence: 99%

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Alonso-Serrano

Liška

2020

J. High Energ. Phys.

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In this work we derive general quantum phenomenological equations of gravitational dynamics and analyse its features. The derivation uses the formalism developed in thermodynamics of spacetime and introduces low energy quantum gravity modifications to it. Quantum gravity effects are considered via modification of Bekenstein entropy by an extra logarithmic term in the area. This modification is predicted by several approaches to quantum gravity, including loop quantum gravity, string theory, AdS/CFT correspondence and generalised uncertainty principle phenomenology, giving our result a general character. The derived equations generalise classical equations of motion of unimodular gravity, instead of the ones of general relativity, and they contain at most second derivatives of the metric. We provide two independent derivations of the equations based on thermodynamics of local causal diamonds. First one uses Jacobson's maximal vacuum entanglement hypothesis, the second one Clausius entropy flux. Furthermore, we consider questions of diffeomorphism and local Lorentz invariance of the resulting dynamics and discuss its application to a simple cosmological model, finding a resolution of the classical singularity.

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Section: Derivation From Mvehmentioning

confidence: 99%

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Alonso-Serrano

Liška

2020

J. High Energ. Phys.

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“…where the deformation parameter β is shown to be of order unity in several approaches to quantum gravity, just like in string theory [49,51], and in the context of Caianiello's theory of maximal acceleration [56,68]. Here, we assume β > 0, but we mention that scenarios with a negative value of the deformation parameter have also been investigated in literature [72][73][74][75].…”

Section: Gup Starsmentioning

confidence: 99%

Phenomenology of GUP stars

et al. 2020

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We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a non-zero uncertainty in the location of the black hole radius, which turns out to be larger than the usual Schwarzschild radius. We interpret such an effect as a correction which makes the horizon disappear, as it happens in other models of quantum black holes already considered in literature. We name this kind of horizonless compact objects GUP stars. We also investigate some phenomenological aspects in the astrophysical context of binary systems and gravitational wave emission by discussing Love numbers, quasi-normal modes and echoes, and studying their behavior as functions of the GUP deformation parameter. Finally, we preliminarily explore the possibility to constrain such a parameter with future astrophysical experiments.

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“…The deformation parameter is usually defined to be positive but in the literature it has been defined also as a negative value parameter [45,46]. Some theoretical constraints on the deformation parameter have been proposed before in [47,48]. Specifically, in [47] the authors proposed the computation of the deformation parameter by using the leading quantum correction of the Newtonian potential.…”

Section: Generalized Uncertainty Principlementioning

confidence: 99%

“…Specifically, in [47] the authors proposed the computation of the deformation parameter by using the leading quantum correction of the Newtonian potential. On the other hand, in [48] it has been proposed a theoretical calculation of the deformation parameter from the maximal acceleration theory. Furthermore, in [49] it has been found that the deformation parameter may be constrained by some phenomenological aspects of the astrophysical objects such as the binary systems and gravitational wave emissions.…”

Section: Generalized Uncertainty Principlementioning

confidence: 99%

Dynamics of quintessence in generalized uncertainty principle

et al. 2020

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We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universes, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.

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GUP parameter from maximal acceleration

Cited by 78 publications

References 78 publications

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Phenomenology of GUP stars

Dynamics of quintessence in generalized uncertainty principle

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