Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe

Tawfik, A.; Magdy, H.; Ali, Ahmed Farag

doi:10.1007/s10714-013-1522-0

Cited by 39 publications

(45 citation statements)

References 99 publications

(96 reference statements)

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“…Accordingly, the tensorial and scalar density fluctuations in the inflation era are evaluated and compared to the standard case. A good agreement with the Wilkinson Microwave Anisotropy Probe data was reported [27]. Assuming that a quantum gas of scalar particles is confined within a thin layer near the apparent horizon of the Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe which satisfies the boundary condition, the number and entropy densities and the free energy arising form the quantum states are calculated using the GUP approach.…”

Section: Consequences On the Physics In The Early Universementioning

confidence: 53%

“…Recently, the effects of GUP on the inflationary dynamics and the thermodynamics of the early Universe have been studied [27]. Accordingly, the tensorial and scalar density fluctuations in the inflation era are evaluated and compared to the standard case.…”

Section: Consequences On the Physics In The Early Universementioning

confidence: 99%

“…Assuming that a quantum gas of scalar particles is confined within a thin layer near the apparent horizon of the FLRW universe which satisfies the boundary condition, the number and entropy densities and the free energy arising form the quantum states are calculated using the GUP approach [27]. Furthermore, a qualitative estimation for the effects of quantum gravity on all these thermodynamic quantities was introduced.…”

Section: Consequences On the Physics In The Early Universementioning

confidence: 99%

“…[22] gives the commutation relation [x i , x j ]. In a series of papers, the effects of GUP on quark gluon plasma [25], compact stars [26], inflationary era of the universe [27], Lorentz invariance violation [3] and the possible modification of Newton's law of gravitation [28] have been investigated.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Section: Consequences On the Physics In The Early Universementioning

confidence: 53%

Section: Consequences On the Physics In The Early Universementioning

confidence: 99%

Section: Consequences On the Physics In The Early Universementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Measurable maximal energy and minimal time interval

Dahab¹,

Tawfik²

2014

Can. J. Phys.

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“…These approaches have the genetic name, Generalized (gravitational) Uncertainty Principle (GUP). Recently, the implication of GUP approaches on different physical systems has been carried out [30][31][32][33][34][35][36].…”

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confidence: 99%

Black hole corrections due to minimal length and modified dispersion relation

Tawfik

Diab

2015

Int. J. Mod. Phys. A

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The generalized uncertainty principles (GUP) and modified dispersion relations (MDR) are much like two faces for one coin in research for the phenomenology of quantum gravity which apparently plays an important role in estimating the possible modifications of the black hole thermodynamics and the Friedmann equations. We first reproduce the horizon area for different types of black holes and investigate the quantum corrections to Bekenstein-Hawking entropy (entropy-area law). Based on this, we study further thermodynamical quantities and accordingly the modified Friedmann equation in four-dimensional de Sitter-Schwarzschild, Reissner-Nördstrom and Garfinkle-HorowitzStrominger black holes. In doing this we applied various quantum gravity approaches. The MDR parameter relative to the GUP one is computed and the properties of the black holes are predicted. This should play an important role in estimating response of quantum gravity to the various metrictypes of black holes. We found a considerable change in the thermodynamics quantities. We find that the modified entropy of de-Sitter-Schwarzshild and Reissner-Nördstrom black holes starts to exist at a finite standard entropy. The Garfinkle-Horowitz-Strominger black hole shows a different entropic property. The modified specific heat due to GUP and MDR approaches vanishes at large standard specific heat, while the corrections due to GUP result in different behaviors. The specific heat of modified de-Sitter-Schwarzshild and Reissner-Nördstrom black holes seems to increase, especially at large standard specific heat. In the early case, the black hole cannot exchange heat with the surrounding space. Accordingly, we would predict black hole remnants which may be considered as candidates for dark matter.

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On possible quantization of the fundamental tensor in the relativistic regime

Tawfik

2022

Astron Nachr

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Inspired by the quantum gravity prescriptions, for instance, string theory, doubly-special relativity, and quantum loop gravity, we apply the generalized relativistic noncommutative Heisenberg algebra on the eight-dimensional Finsler manifold, the natural generalization of the four-dimensional Riemann manifold. The Finsler manifold is conjectured to relax the quadratic restriction on the length measure, especially in the relativistic regime. The additional curvature coupled with the Finsler manifold is assumed to mimic the quantization on the Riemann manifold. The second ingredient we suggest is the existence of a minimum measurable length, whose value is determined from the relativistic generalized uncertainty principle, and then applying in to the coordinates of the Finsler manifold. The quantum-induced corrections to the fundamental tensor are determined under extreme conditions of a relativistic energy. Whether this proposal is adequate for a full quantization, the various limitations of the proposed theory are elaborated and discussed, especially the limitations of the curved spacetime model assumed for the line element measure. We have conservatively formulated our conclusion that the quantization of the fundamental tensor might be conditioned to an adequate quantization of the line element measure, at least the one on the eight-dimensional Finsler manifold. K E Y W O R D Salternatives to general relativity, general relativity in relativistic quantum regime, generalized noncommutative Heisenberg algebra, reconciling principles of quantum mechanics with general relativity

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Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe

Cited by 39 publications

References 99 publications

Measurable maximal energy and minimal time interval

Measurable maximal energy and minimal time interval

Black hole corrections due to minimal length and modified dispersion relation

On possible quantization of the fundamental tensor in the relativistic regime

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