Phase transitions of a GUP-corrected Schwarzschild black hole within isothermal cavities

Sabri, Youcef; Nouicer, Khireddine

doi:10.1088/0264-9381/29/21/215015

Cited by 21 publications

(32 citation statements)

References 45 publications

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“…Nouicer suggested a higher-order GUP approach [127]. To the leading order, this agrees well with the GUP given in Eq.…”

Section: A Minimal Length Uncertaintysupporting

confidence: 82%

“…Thus, this new approach agrees well with quantum field theory (QFT) and Heisenberg algebra, especially in context of non-commutative coherent states representation. The resulting GUP approach can be studied at ultra-violet (UV) finiteness of Feynman propagator [127]. The Quantum Gravity (QG) describes the quantum behaviour of gravitational field and unifies the Quantum Mechanics (QM) with the General Relativity (GR).…”

Section: Approaches For Generalized (Gravitational) Uncertainty mentioning

confidence: 99%

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A review of the generalized uncertainty principle

2015

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Based on string theory, black hole physics, doubly special relativity and some 'thought' experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified dispersion relation, the space noncommutativity, the Lorentz invariance violation, and the quantum-gravity-induced birefringence effects are summarized. The origin of minimal measurable quantities and the different GUP approaches are reviewed and the corresponding observations are analysed. Bounds on the GUP parameter are discussed and implemented in the understanding of recent PLANCK observations of cosmic inflation. The higher-order GUP approaches predict minimal length uncertainty with and without maximum momenta. Possible arguments against the GUP are discussed; for instance, the concern about its compatibility with the equivalence principles, the universality of gravitational redshift and the free fall and law of reciprocal action are addressed.

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“…Nouicer suggested a higher-order GUP approach [127]. To the leading order, this agrees well with the GUP given in Eq.…”

Section: A Minimal Length Uncertaintysupporting

confidence: 82%

Section: Approaches For Generalized (Gravitational) Uncertainty mentioning

confidence: 99%

A review of the generalized uncertainty principle

2015

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“…A new GUP approach [36] is characterized by a minimal length uncertainty and a maximal momentum (energy). Another approach is conjectured to absolve an extensive comparison with Kempf, Mangano and Mann (KMM) [37], which has been performed in Hilbert space [38]. Here, a novel idea of minimal length modelled in terms of the quantized space-time was implemented.…”

Section: A Physical Insights Of Higher Order Gupmentioning

confidence: 99%

“…Thus, this new approach agrees well with the quantum field theory and Heisenberg algebra, especially in context of non-commutative coherent states representation. The resulting GUP approach can be studied at ultra-violet finiteness of Feynman propagator [38].…”

Section: A Physical Insights Of Higher Order Gupmentioning

confidence: 99%

Measurable maximal energy and minimal time interval

Dahab¹,

Tawfik²

2014

Can. J. Phys.

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The possibility of finding the measurable maximal energy and the minimal time interval is discussed in different quantum aspects. It is found that the linear generalized uncertainty principle (GUP) approach gives a non-physical result. Based on large scale Schwarzshild solution, the quadratic GUP approach is utilized. The calculations are performed at the shortest distance, at which the general relativity is assumed to be a good approximation for the quantum gravity and at larger distances, as well. It is found that both maximal energy and minimal time have the order of the Planck time. Then, the uncertainties in both quantities are accordingly bounded.Some physical insights are addressed. Also, the implications on the physics of early Universe and on quantized mass are outlined. The results are related to the existence of finite cosmological constant and minimum mass (mass quanta).

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“…The impact of the GUP on thermodynamical parameters and the stability of the Schwarzschild black hole was investigated in Ref. [7]. The GUP approach was also used to calculate quantities of the inflationary dynamics and the thermodynamics of the early universe [8].…”

Section: Introductionmentioning

confidence: 99%

Constraining the generalized uncertainty principle with cold atoms

Gao

Zhan

2016

Phys. Rev. A

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Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous studies of the GUP focused on its implications for high-energy physics, cosmology, and astrophysics. Here, the application of the GUP to low-energy quantum systems, and particularly cold atoms, is studied. Results from the $^{87}$Rb atom recoil experiment are used to set upper bounds on parameters in three different GUP proposals. A $10^{14}$-level bound on the Ali-Das-Vagenas proposal is found, which is the second best bound so far. A $10^{26}$-level bound on Maggiore's proposal is obtained, which turns out to be the best available bound on it

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Phase transitions of a GUP-corrected Schwarzschild black hole within isothermal cavities

Cited by 21 publications

References 45 publications

A review of the generalized uncertainty principle

A review of the generalized uncertainty principle

Measurable maximal energy and minimal time interval

Constraining the generalized uncertainty principle with cold atoms

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