A note on Planck scale corrections to bouncing universe

2016 ◽  
Vol 25 (04) ◽  
pp. 1650046 ◽  
Author(s):  
A. D. Kamali ◽  
P. Sabounchi
Keyword(s):  
Dispersion Relation ◽  
Planck Scale ◽  
Frw Universe ◽  
Modified Dispersion Relation ◽  
Bouncing Universe ◽  
Friedmann Equations

In this paper, we investigate the effect modified dispersion relation (MDR) on the entropy-area relation of FRW universe, leading to the modification of Friedmann equations. In this regard, we show that limitations imposed by MDR leads to certain modifications of bouncing universe thermodynamics.

scholarly journals How Can the Modified Dispersion Relation Affect Friedmann Equations?

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
A. S. Sefiedgar
Keyword(s):  
Dispersion Relation ◽  
High Energy Physics ◽  
Apparent Horizon ◽  
Phenomenological Approach ◽  
High Energy ◽  
Frw Universe ◽  
Modified Dispersion Relation ◽  
Corrected Entropy ◽  
Friedmann Equations ◽  
Very High Energy

The appearance of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of Friedmann-Robertson-Walker (FRW) universe. The modified dispersion relation (MDR) as a phenomenological approach to investigate the high energy physics provides a perturbation framework upon which the FRW universe thermodynamics can be corrected. In this letter, we obtain the corrected entropy-area relation of the apparent horizon of FRW universe by utilizing the extra dimensional form of MDR, leading to the modification of Friedmann equations. The influence of MDR on the Friedmann equations provides a good insight into the understanding of the FRW universe dynamics in the final quantum gravity theory.

scholarly journals Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Shovon Biswas ◽  
Mir Mehedi Faruk
Keyword(s):  
Dispersion Relation ◽  
Quantum Gravity ◽  
Statistical Mechanics ◽  
Planck Scale ◽  
Maximum Energy ◽  
Gravity Models ◽  
Momentum Scale ◽  
Modified Dispersion Relation ◽  
Gravity Effects ◽  
Photon Gas

Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics. In this paper, we resort to the methods of statistical mechanics in order to determine the effects of a deformed dispersion relation along with an upper bound in the partition function that maximum energy and/or momentum scale can have on the thermodynamics of photon gas. We also analyzed two distinct quantum gravity models in this paper.

scholarly journals Jeans instability in non-minimal matter-curvature coupling gravity

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Cláudio Gomes
Keyword(s):  
Boltzmann Equation ◽  
Dispersion Relation ◽  
Weak Field ◽  
Model Parameters ◽  
Field Limit ◽  
Modified Dispersion Relation ◽  
Weak Field Limit ◽  
Special Cases ◽  
Jeans Instability ◽  
Scalar Potentials

Abstract The weak field limit of the nonminimally coupled Boltzmann equation is studied, and relations between the invariant Bardeen scalar potentials are derived. The Jean’s criterion for instabilities is found through the modified dispersion relation. Special cases are scrutinised and considerations on the model parameters are discussed for Bok globules.

scholarly journals Photon velocity, power spectrum in Unruh effect with modified dispersion relation

2020 ◽  
Vol 129 (3) ◽  
pp. 30002
Author(s):  
Arnab Mukherjee ◽  
Sunandan Gangopadhyay ◽  
Manjari Dutta
Keyword(s):  
Dispersion Relation ◽  
Power Spectrum ◽  
Unruh Effect ◽  
Modified Dispersion Relation

Constraining the Energy-Momentum Dispersion Relation with Planck-Scale Sensitivity Using Cold Atoms

2009 ◽  
Vol 103 (17) ◽  
Author(s):  
Giovanni Amelino-Camelia ◽  
Claus Lämmerzahl ◽  
Flavio Mercati ◽  
Guglielmo M. Tino
Keyword(s):  
Dispersion Relation ◽  
Cold Atoms ◽  
Planck Scale ◽  
Scale Sensitivity

SQUEEZED QUANTUM STATE IN INFLATION WITH TRANS-PLANCKIAN CUTOFF

2004 ◽  
Vol 19 (13n16) ◽  
pp. 1223-1226 ◽  
Author(s):  
SEOKTAE KOH
Keyword(s):  
Dispersion Relation ◽  
Quantum State ◽  
Particle Production ◽  
Planck Scale ◽  
Quantum Fluctuations ◽  
Quantum States ◽  
Planck Scale Physics

The fields, created from quantum fluctuations during inflation era, are known to be in squeezed quantum states. And recent studies show that the Planck scale physics can have observable cosmological effects. We investigate here how the squeezed quantum states are influenced by the trans-Planckian cutoff which modifies the dispersion relation on subhorizon scales, and calculate the particle production at the end of the inflation.

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