Bouncing universe with modified dispersion relation

Pan, Weijuan; Huang, Yong-Chang

doi:10.1007/s10714-016-2138-y

Cited by 9 publications

(11 citation statements)

References 104 publications

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“…On one hand, when ρ c in (19) is positive, Eqs. (17) and (18) We note that for the second energy branch whose entropy is −S M [15], the procedures above are straightforward and the modified Friedmann equation are the same as equations (17) and (18). However, for this energy branch, the effective volume ( V ), and the area ( A)…”

Section: Space Of the Frw Universementioning

confidence: 99%

“…Here, we will derive the modified Friedmann equation by following the steps of emergent cosmic space shown in last section. According to the study in [15], the MDR (8) modified the entropy for the first energy branch as…”

Section: Space Of the Frw Universementioning

confidence: 99%

“…It was found that the role of their modified dispersion relation is to explicitly modify the clausius relation. This proposal has also been extended into the spatially curved cases and the corresponding modified entropy-area relations have been derived [15].…”

Section: Introductionmentioning

confidence: 99%

“…Then we will analyze whether the quantum effect in Padmanabhan's conjecture will bring in the modified Friedmann equation (1) with bounce solution. It is notable that starting from the clausius relation to the apparent horizon along with the modified dispersion relation, one can easily get the modified Friedmann equation with bounce solution to the FRW universe [14,15], but the answer is not direct in Padmanabhan's conjecture in the emergent universe. Our study will give an insight to the answer.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The Quantum Effect on Friedmann Equation in FRW Universe

Zhang

Kuang

2018

Advances in High Energy Physics

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We study the modified Friedmann equation in the Friedmann-Robertson-Walker universe with quantum effect. Our modified results mainly stem from the new entropy-area relation and the novel idea of Padmanabhan, who considers the cosmic space to be emerging as the cosmic time progresses, so that the expansion rate of the universe is determined by the difference of degrees of freedom between the holographic surface and the bulk inside. We also discuss the possibility of having bounce cosmological solution from the modified Friedmann equation in spatially flat geometry.

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Section: Space Of the Frw Universementioning

confidence: 99%

Section: Space Of the Frw Universementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Quantum Effect on Friedmann Equation in FRW Universe

Zhang

Kuang

2018

Advances in High Energy Physics

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“…Now, by employing the GUP (2) and a general gravitational background metric, we construct a new kind of rainbow functions (9). It is obviously that Eq.…”

Section: The Rainbow Functions With Effect Of Gupmentioning

confidence: 99%

The thermodynamics and phase transition of a rainbow black hole

2019

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In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions, and two Hawking-Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

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Inflationary Krylov complexity

Li,

Liu

2024

J. High Energ. Phys.

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In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed system and open system. Since many quantum gravitational frameworks could lead to this kind of modified dispersion relation, our analysis could be applied to the string cosmology, loop gravity, e.t.c. Following the Lanczos algorithm, we find the very early universe is an infinite, many-body, and maximal chaotic system. Our numerics shows that the Lanczos coefficient and Lyapunov index of the standard dispersion relation are mainly determined by the scale factor. As for the modified case, it is nearly determined by the momentum. In a method of the closed system, we discover that the Krylov complexity will show irregular oscillation before the horizon exits. The modified case will present faster growth after the horizon exists. Since the whole universe is an open system, the approach of an open system is more realistic and reliable. Then, we construct the exact wave function which is very robust only requiring the Lanczos coefficient proportional to n (main quantum number). Based on it, we find the Krylov complexity and Krylov entropy could nicely recover in the case of a closed system under the weak dissipative approximation, in which our analysis shows that the evolution of Krylov complexity will not be the same with the original situation. We also find the inflationary period is a strong dissipative system. Meanwhile, our numerics clearly shows the Krylov complexity will grow during the whole inflationary period. But for the small scales, there will be a peak after the horizon exits. Our analysis reveals that the dramatic change in background (inflation) will significantly impact the evolution of Krylov complexity. Since the curvature perturbation will transit from the quantum level to the classical level. We could expect that the decoherence will highly impact the Krylov complexity during inflation.

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Bouncing universe with modified dispersion relation

Cited by 9 publications

References 104 publications

The Quantum Effect on Friedmann Equation in FRW Universe

The Quantum Effect on Friedmann Equation in FRW Universe

The thermodynamics and phase transition of a rainbow black hole

Inflationary Krylov complexity

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