Effects of the Generalized Uncertainty Principle on the Inflation Parameters

Nozari, Kourosh; Akhshabi, Siamak

doi:10.1142/s0218271810016543

Cited by 12 publications

(12 citation statements)

References 53 publications

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“…In this sense, any deviation from the scale invariance of the spectral index essentially contains a footprint of these high-energy effects [110]. There is an oscillatory behavior in the κ-dependence of the density fluctuations which essentially can be detected in the CMB spectrum [161]. Another possible signature may be some imprints on the cosmic microwave background (CMB) fluctuations due to the thermodynamics of primordial black hole (PBH)-CMB interactions [110].…”

Section: Resultsmentioning

confidence: 99%

“…This modifies the dispersion relation, which was approved in loop quantum gravity and noncommutative geometry [162]. The evolution of the perturbations in the inflation reads [161], µ…”

Section: Randall-sundrum II Model On Inflationary Dynamicsmentioning

confidence: 99%

“…. The potential itself is model-dependent, for instance,V (φ) = M p exp[− 2/H 0 p φ][184]. For Klein-Gordon equation and according to the model presented given in Ref.…”

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confidence: 99%

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Generalized uncertainty principle: Approaches and applications

Tawfik

Diab

2014

Int. J. Mod. Phys. D

232

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: Resultsmentioning

confidence: 99%

“…This modifies the dispersion relation, which was approved in loop quantum gravity and noncommutative geometry [162]. The evolution of the perturbations in the inflation reads [161], µ…”

Section: Randall-sundrum II Model On Inflationary Dynamicsmentioning

confidence: 99%

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Generalized uncertainty principle: Approaches and applications

Tawfik

Diab

2014

Int. J. Mod. Phys. D

232

284

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“…The effect of above algebra on inflation parameters is investigated in Ref. [39]. In addition, the authors of Ref.…”

Section: 2019 2:56 Wspc/instruction File Interacting˙dark˙side˙ofmentioning

confidence: 99%

Interacting dark side of universe through generalized uncertainty principle

Rashki

Fathi

Mostaghel

et al. 2019

Int. J. Mod. Phys. D

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We investigate the impact of the generalized uncertainty principle proposed by some approaches to quantum gravity such as string theory and doubly special relativity on the cosmology. Using generalized Poisson brackets, we obtain the modified Friedmann and Raychaudhuri equations and suggest a dynamical dark energy to explain the late time acceleration of the Universe. After considering the interaction between dark matter and dark energy, originated from the minimal length, we obtain the effective cosmological parameters and equation of state parameter for dark matter and dark energy. Finally, we show that the resulting model is equivalent to the Phantom and Tachyon fields.

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“…The existence of such length leads to the GUP, a generalization of the standard Heisenberg uncertainty principle [36,43,44,45]. Effects of the GUP on the standard quantum mechanical problems [46,47], on the early and late times of the universe [48,49,50,51], and on thermodynamic properties of black holes [52,53,54] have been extensively discussed in the literature. To calculate the modified Hawking radiation in the GUP framework by Hamilton-Jacobi approach, Klein-Gordon equation for spin-0 particle, Dirac equation for spin-1/2 particle, and massive W ∓ -boson equation for spin-1 particle are modified [55,56,57].…”

Section: Introductionmentioning

confidence: 99%

The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole

Geçim

Sucu

2018

Advances in High Energy Physics

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In this study, the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation formed by tunneling of a massive vector boson particle from the 2+1 dimensional new-type black hole was investigated. We used modified massive vector boson equation based on the GUP. Then, the Hamilton-Jacobi quantum tunneling approach was used to work out the tunneling probability of the massive vector boson particle and Hawking temperature of the black hole. Due to the GUP effect, the modified Hawking temperature was found to depend on the black hole properties, on the AdS 3 radius, and on the energy, mass, and total angular momentum of the tunneling massive vector boson. In the light of these results, we also observed that modified Hawking temperature increases by the total angular momentum of the particle while it decreases by the energy and mass of the particle and the graviton mass. Also, in the context of the GUP, we see that the Hawking temperature due to the tunneling massive vector boson is completely different from both that of the spin-0 scalar and that of the spin-1/2 Dirac particles obtained in the previous study. We also calculate the heat capacity of the black hole using the modified Hawking temperature and then discuss influence of the GUP on the stability of the black hole.

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Effects of the Generalized Uncertainty Principle on the Inflation Parameters

Cited by 12 publications

References 53 publications

Generalized uncertainty principle: Approaches and applications

Generalized uncertainty principle: Approaches and applications

Interacting dark side of universe through generalized uncertainty principle

The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole

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