scholarly journals Thermodynamic Prescription of Cosmological Constant in the Randall-Sundrum II Brane

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Tanwi Bandyopadhyay
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Friedmann Equation ◽  
Entropy Function ◽  
Flat Universe ◽  
Corrected Entropy ◽  
Cosmological Scenario ◽  
Equipartition Law ◽  
The Universe

In this work, we apply the quantum corrected entropy function derived from the Generalized Uncertainty Principle (GUP) to the holographic equipartition law to study the cosmological scenario in the Randall-Sundrum (RS) II brane. An extra driving term has come up in the effective Friedmann equation for a homogeneous, isotropic, and spatially flat universe. Further, thermodynamic prescription of the universe constraints this term eventually with an order equivalent to that of the cosmological constant.

Minimal length effects on Friedmann equations

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040043
Author(s):  
Mustafa Moumni ◽  
Ahlam Fouhal
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Additional Contribution ◽  
Evolution Of The Universe ◽  
Friedmann Equations ◽  
Expansion Of The Universe ◽  
The Universe ◽  
Length Effects

In this work, we study the effects of Generalized Uncertainty Principle on the evolution of the Universe through Friedmann’s equations. We show that the effects are equivalent to those of the cosmological constant and thus they constitute an additional contribution in the acceleration of the expansion of the Universe.

scholarly journals Effect of GUP on the Kepler problem and a variable minimal length

2014 ◽  
Vol 92 (6) ◽  
pp. 484-487 ◽  
Author(s):  
Fatemeh Ahmadi ◽  
Jafar Khodagholizadeh
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Kepler Problem ◽  
Rotational Symmetry ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Minimal Length ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Perihelion Shift

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg uncertainty principle near the Plank scale, known as the generalized uncertainty principle (GUP). Here we study the effects of GUP, which preserves the rotational symmetry of the space–time, on the Kepler problem. By comparing the value of the perihelion shift of the planet Mercury in Schwarzschild – de Sitter space–time with the resultant value of GUP, we find a relation between the minimal measurable length and the cosmological constant of the space–time. Now, if the cosmological constant varies with time, we have a variable minimal length in the space–time. Finally, we investigate the effects of GUP on the stability of circular orbits.

scholarly journals Quantum cosmology with dynamical vacuum in a minimal-length scenario

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
M. F. Gusson ◽  
A. Oakes O. Gonçalves ◽  
R. G. Furtado ◽  
J. C. Fabris ◽  
J. A. Nogueira
Keyword(s):  
Wave Function ◽  
Commutation Relation ◽  
Uncertainty Principle ◽  
Quantum Cosmology ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Minimum Length ◽  
Position Space ◽  
Infinite Norm ◽  
The Universe

AbstractIn this work, we consider effects of the dynamical vacuum in quantum cosmology in presence of a minimum length introduced by the GUP (generalized uncertainty principle) related to the modified commutation relation $$[{\hat{X}},{\hat{P}}] := \frac{i\hbar }{ 1 - \beta {\hat{P}}^2 }$$ [ X ^ , P ^ ] : = i ħ 1 - β P ^ 2 . We determine the wave function of the Universe $$ \psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) , which is solution of the modified Wheeler–DeWitt equation in the representation of the quasi-position space, in the limit where the scale factor of the Universe is small. Although $$\psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) is a physically acceptable state it is not a realizable state of the Universe because $$ \psi _{qp}(\xi ,t)$$ ψ qp ( ξ , t ) has infinite norm, as in the ordinary case with no minimal length.

scholarly journals EXTENDED UNCERTAINTY PRINCIPLE AND THE GEOMETRY OF (ANTI)-DE SITTER SPACE

2010 ◽  
Vol 25 (20) ◽  
pp. 1697-1703 ◽  
Author(s):  
S. MIGNEMI
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Sitter Spacetime ◽  
Heisenberg Uncertainty ◽  
Sitter Background ◽  
Extended Uncertainty

It has been proposed that on (anti)-de Sitter background, the Heisenberg uncertainty principle should be modified by the introduction of a term proportional to the cosmological constant. We show that this modification of the uncertainty principle can be derived straightforwardly from the geometric properties of (anti)-de Sitter spacetime. We also discuss the connection between the so-called extended generalized uncertainty principle and triply special relativity.

scholarly journals Birth of the GUP and its effect on the entropy of the universe in Lie-N-algebra

2017 ◽  
Vol 14 (09) ◽  
pp. 1750130 ◽  
Author(s):  
Alireza Sepehri ◽  
Anirudh Pradhan ◽  
Richard Pincak ◽  
Farook Rahaman ◽  
A. Beesham ◽  
...  
Keyword(s):  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Dimensional Theory ◽  
Spinor Fields ◽  
Quantum Numbers ◽  
The Creation ◽  
Derivatives Of ◽  
The Universe ◽  
Entropy Of The Universe

In this paper, the origin of the generalized uncertainty principle (GUP) in an [Formula: see text]-dimensional theory with Lie-[Formula: see text]-algebra is considered. This theory which we name Generalized Lie-[Formula: see text]-Algebra (GLNA)-theory can be reduced to [Formula: see text]-theory with [Formula: see text] and [Formula: see text]. In this theory, at the beginning, two energies with positive and negative signs are created from nothing and produce two types of branes with opposite quantum numbers and different numbers of timing dimensions. Coincidence with the birth of these branes, various derivatives of bosonic fields emerge in the action of the system which produce the [Formula: see text] GUP for bosons. These branes interact with each other, compact and various derivatives of spinor fields appear in the action of the system which leads to the creation of the GUP for fermions. The previous predicted entropy of branes in the GUP is corrected as due to the emergence of higher orders of derivatives and different number of timing dimensions.

scholarly journals QUANTUM COSMOLOGY WITH A MINIMAL LENGTH

2008 ◽  
Vol 23 (08) ◽  
pp. 1257-1265 ◽  
Author(s):  
MARCO VALERIO BATTISTI ◽  
GIOVANNI MONTANI
Keyword(s):  
Uncertainty Principle ◽  
Quantum Cosmology ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Cosmological Models ◽  
Isotropic Model ◽  
The Universe ◽  
Big Bounce

Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization is performed in the minisuperspace representation. Both the quantum Universes are singularity-free and (i) in the isotropic model no evidences for a Big-Bounce appear; (ii) in the Taub one a quasi-isotropic configuration for the Universe is predicted by the model.

Verifying the universe is another way to ds space-time

2021 ◽  
Author(s):  
Wen-Xiang Chen
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Cosmological Constant ◽  
Uncertainty Principle ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
The Given ◽  
The Universe

In this paper, it is explained that the role of the cosmological constant in the De Sitter space is similar to that of the preset boundary conditions in the superradiation phenomenon. In the previous literature, superradiance at a given boundary condition can cause the uncertainty principle to be less extreme, and so the uncertainty principle to be less extreme without the given boundary condition, might be one way to prove that the universe is ds spacetime.

scholarly journals THE GENERALIZED UNCERTAINTY PRINCIPLE AND CORRECTIONS TO THE CARDY–VERLINDE FORMULA IN SAdS5 BLACK HOLES

2006 ◽  
Vol 21 (06) ◽  
pp. 1325-1332 ◽  
Author(s):  
M. R. SETARE
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Central Charge ◽  
Generalized Uncertainty Principle ◽  
De Sitter ◽  
Entropy Formula ◽  
Corrected Entropy ◽  
Verlinde Formula

In this paper, we investigate a possible modification to the temperature and entropy of five-dimensional Schwarzschild anti-de Sitter black holes due to the incorporation of stringy corrections to the modified uncertainty principle. Then, we subsequently argue for corrections to the Cardy–Verlinde formula in order to account for the corrected entropy. Then, we show that one can taking into account the generalized uncertainty principle corrections of the Cardy–Verlinde entropy formula by just redefining the Virasoro operator L0 and the central charge c.

scholarly journals EQUIPARTITION OF ENERGY AND THE FIRST LAW OF THERMODYNAMICS AT THE APPARENT HORIZON

2011 ◽  
Vol 20 (04) ◽  
pp. 553-559 ◽  
Author(s):  
FU-WEN SHU ◽  
YUNGUI GONG
Keyword(s):  
Apparent Horizon ◽  
Friedmann Equation ◽  
Consistency Check ◽  
First Law Of Thermodynamics ◽  
A Value ◽  
Cosmological Observations ◽  
Equipartition Law ◽  
Equipartition Of Energy ◽  
The Universe ◽  
Friedmann Robertson Walker

We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann–Robertson–Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon. The consistency check shows that our derivation is correct for –1 < w < –(1/3), a value that matches the recent cosmological observations.

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