Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem

Abstract

It is demonstrated that entropy and its density play a significant role in solving the problem of the vacuum energy density (cosmological constant) of the Universe and hence the dark energy problem. Taking this in mind, two most popular models for dark energy - Holographic Dark Energy Model and Agegraphic Dark Energy Model - are analyzed. It is shown that the fundamental quantities in the first of these models may be expressed in terms of a new small dimensionless parameter. It is revealed that this parameter is naturally occurring in High Energy Gravitational Thermodynamics and Gravitational Holography (UV-limit). On this basis the possibility of a new approach to the problem of Quantum Gravity is discussed. Besides, the results obtained on the uncertainty relation of the pair "cosmological constant - volume of space-time", where the cosmological constant is a dynamic quantity, are reconsidered and generalized up to the Generalized Uncertainty Relation.

29 pages, Latex. v.2. Minor correction.

References in corpus (113)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• The World as a Hologram
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Thermodynamics of Spacetime: The Einstein Equation of State
• The Cosmological Constant
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• k-Inflation
• The holographic principle
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Perturbations in k-inflation
• Accelerated expansion of the universe driven by tachyonic matter
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• A Covariant Entropy Conjecture
• The Generalized Uncertainty Principle and Black Hole Remnants
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• BVRI Light Curves for 22 Type Ia Supernovae
• Braneworld models of dark energy
• Gravity and the Thermodynamics of Horizons
• The algebraic structure of the generalized uncertainty principle
• A Dark Energy Model Characterized by the Age of the Universe
• Cosmology with tachyon field as dark energy
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• On Gravity and the Uncertainty Principle
• Constraints on holographic dark energy from type Ia supernova observations
• The Holographic Dark Energy in a Non-flat Universe
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Dark Energy and Gravity
• When conceptual worlds collide: The GUP and the BH entropy
• Statefinder diagnostic for holographic dark energy model
• Constraints on the interacting holographic dark energy model
• BVRI Light Curves for 29 Type Ia Supernovae
• Supernova Constraints on a holographic dark energy model
• What is needed of a tachyon if it is to be the dark energy?
• Holography and Cosmology
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Cosmological dynamics of the tachyon with an inverse power-law potential
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Reconstructing holographic quintessence
• Cosmological Constraints on New Agegraphic Dark Energy
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Constraints on holographic dark energy from X-ray gas mass fraction of galaxy clusters
• Entropy of Null Surfaces and Dynamics of Spacetime
• Tracking solutions in tachyon cosmology
• Interacting Agegraphic Dark Energy
• Statefinder diagnosis for the interacting model of holographic dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Anthropic Principle Favors the Holographic Dark Energy
• How classical are TeV-scale black holes?
• Constraints on the dark energy from holography
• Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations
• On Holography and Cosmology
• Dark Energy: the Cosmological Challenge of the Millennium
• Statefinder diagnosis in a non-flat universe and the holographic model of dark energy
• Holography of Gravitational Action Functionals
• Agegraphic dark energy as a quintessence
• Quintessence reconstruction of the new agegraphic dark energy model
• Some Issues Concerning Holographic Dark Energy
• Cosmological implications of Karolyhazy uncertainty relation
• Features of holographic dark energy under the combined cosmological constraints
• Holographic dark energy in a cyclic universe
• An Uncertainty Relation of Space-Time
• A Dynamical Approach to the Cosmological Constant
• Vacuum Fluctuations of Energy Density can lead to the observed Cosmological Constant
• Thermodynamics of a black hole based on a generalized uncertainty principle
• The Holography of Gravity encoded in a relation between Entropy, Horizon area and Action for gravity
• Holographic Gravity and the Surface term in the Einstein-Hilbert Action
• Gravity: A New Holographic Perspective
• Holographic principle and dark energy
• Inflation with Holographic Dark Energy
• Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy
• Generalized Quantum Relativistic Kinematics: a Stability Point of View
• Cosmological Scaling Solutions of Multiple Tachyon Fields with Inverse Square Potentials
• Origin of holographic dark energy models
• Time and M-theory
• Deformed Density Matrix and Generalized Uncertainty Relation in Thermodynamics
• Interface of Gravitational and Quantum Realms
• Holographic Gas as Dark Energy
• A new perspective on Gravity and the dynamics of Spacetime
• Remarks on Dynamical Dark Energy Measured by the Conformal Age of the Universe
• Geometry, stochastic calculus and quantum fields in a non-commutative space-time
• Fine Structure of Dark Energy and New Physics
• Holographic Cosmological Constant and Dark Energy
• Gravity as an emergent phenomenon: A conceptual description
• A revision of the Generalized Uncertainty Principle
• Entropy bound of local quantum field theory with generalized uncertainty principle
• Can the cosmological "constant" run? - It may run
• Non-Unitary and Unitary Transitions in Generalized Quantum Mechanics, New Small Parameter and Information Problem Solving
• Entanglement entropy, black holes and holography
• Deformed Density Matrix and Quantum Entropy of the Black Hole
• Quantum Mechanics at Planck's scale and Density Matrix
• Why there is something so close to nothing: towards a fundamental theory of the cosmological constant
• Quantum Mechanics of the Early Universe and its Limiting Transition
• Minimal spatio-temporal extent of events, neutrinos, and the cosmological constant problem
• Toward a Background Independent Quantum Theory of Gravity
• The Universe as a Nonuniform Lattice in the Finite-Dimensional Hypercube II.Simple Cases of Symmetry Breakdown and Restoration
• Naturalness of the Vacuum Energy in Holographic Theories
• Pure States, Mixed States and Hawking Problem in Generalized Quantum Mechanics
• The Universe as a Nonuniform Lattice in Finite-Volume Hypercube. I.Fundamental Definitions and Particular Features
• Degravitation, Inflation and the Cosmological Constant as an Afterglow
• Operational definition of (brane induced) space-time and constraints on the fundamental parameters
• Density matrix and dynamical aspects of Quantum Mechanics with Fundamental Length
• Fundamental Length,Deformed Density Matrix and New View on the Black Hole Information Paradox
• Generalized Uncertainty Relation in Thermodynamics
• Generalized Uncertainty Relations,Fundamental Length and Density Matrix

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• Holographic Dark Information Energy
• Minimal Length, Measurability and Gravity
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case