Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force

Abstract

We investigate the implications of the entropic force formalism proposed by Verlinde. We show that an UV/IR relation proposed by Cohen et al, as well as an uncertainty principle proposed by Hogan can be derived from the entropic force formalism. We show that applying the entropic force formalism to cosmology, there is an additional term in the Friedmann equation, which can be identified as holographic dark energy. We also propose an intuitive picture of holographic screen, which can be thought of as an improvement of Susskind's holographic screen.

12 pages, 4 figures; v2: typos corrected, references added; v3: references added; v4: final version to appear on PLB

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Cited by in corpus (102)

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• Planck Constraints on Holographic Dark Energy
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Entropic force, noncommutative gravity and ungravity
• Search for sterile neutrinos in holographic dark energy cosmology: Reconciling Planck observation with the local measurement of the Hubble constant
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Modified Entropic Force
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Entropic-force dark energy reconsidered
• Friedmann equations from emergence of cosmic space
• Thermodynamics of Black Holes from Equipartition of Energy and Holography
• Revisit of the Interaction between Holographic Dark Energy and Dark Matter
• Coulomb Force as an Entropic Force
• Entropic Corrections to Einstein Equations
• Conservative entropic forces
• Cosmological Constraints on the Modified Entropic Force Model
• Holographic dark energy in a universe with spatial curvature and massive neutrinos: a full Markov Chain Monte Carlo exploration
• Neutrinos in the holographic dark energy model: constraints from latest measurements of expansion history and growth of structure
• Entropic force and entanglement system
• Equipartition of energy and the first law of thermodynamics at the apparent horizon
• A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force
• A note on entropic force and brane cosmology
• On the Origin of Entropic Gravity and Inertia
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Entropic Force Scenarios and Eternal Inflation
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
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• Does Entropic Gravity Bound the Masses of the Photon and Graviton?
• Revisiting the holographic dark energy in a non-flat universe: alternative model and cosmological parameter constraints
• Holographic Dark Energy with Cosmological Constant
• Constraining Entropic Cosmology
• Effects of Cosmological Constant on Clustering of Galaxies
• Entropic Corrections to Coulomb's Law
• Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
• Clustering of Galaxies with Dynamical Dark Energy
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• Entropic force and its cosmological implications
• The holographic screen at low temperatures
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• Towards a Holographic Description of Inflation and Generation of Fluctuations from Thermodynamics
• Thermodynamics and galactic clustering with a modified gravitational potential
• Einstein Equations and MOND Theory from Debye Entropic Gravity
• Noncommutative Geometry Inspired Entropic Inflation
• Modified Friedmann Equations From Debye Entropic Gravity
• Crossing the phantom divide with Ricci-like holographic dark energy
• Diagnosing $\Lambda$HDE model with statefinder hierarchy and fractional growth parameter
• Entropic force in the presence of black hole
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• From the Komar Mass and Entropic Force Scenarios to the Einstein Field Equations on the Ads Brane
• Rainbow gravity corrections to the entropic force
• Does entropic force always imply the Newtonian force law?
• Apparent dark matter as a non-local manifestation of emergent gravity
• Holographic dark energy with time varying $c^2$ parameter
• Is gravity entropic force?
• Influence on the entropic force by the virtual degree of freedom on the holographic screen
• Schwarzschild-de Sitter black hole from entropic viewpoint
• Thermodynamics on the Maximally Symmetric Holographic Screen and Entropy from Conical Singularities
• Holographic Dark Energy and Quantum Entanglement
• Quantization of Black Holes
• Black Holes and Photons with Entropic Force
• Quantum, noncommutative and MOND corrections to the entropic law of gravitation
• f(R) Gravity and Maxwell Equations from the Holographic Principle
• Using simulated Tianqin gravitational wave data and electromagnetic wave data to study the coincidence problem and Hubble tension problem
• Thermodynamics of interacting holographic dark energy
• Gravity as Quantum Entanglement Force
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• On thermal force from holographic action
• Modified gravity/entropic gravity correspondence due to graviton mass
• A closer look at the cosmological implications of the $\Lambda$HDE model
• Comments on the entropic gravity proposal
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
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• Time dependent dark energy and the thermodynamics of many-body systems
• The modified wave function of test particle approaching holographic screen from entropy force
• Implications of maximum acceleration on dynamics
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