Origin of holographic dark energy models

Abstract

We investigate the origin of holographic dark energy models which were recently proposed to explain the dark energy-dominated universe. For this purpose, we introduce the spacetime foam uncertainty of $\delta l\ge l_{\mathrm{p}}^{\alpha }{l}^{\alpha -1}$. It was argued that the case of $\alpha =2/3$ could describe the dark energy with infinite statistics, while the case of $\alpha =1/2$ can describe the ordinary matter with Bose-Fermi statistics. However, two cases may lead to the holographic energy density if the latter recovers from the geometric mean of UV and IR scales. Hence the dark energy with infinite statistics based on the entropy bound is not an ingredient for deriving the holographic dark energy model. Furthermore, it is shown that the agegraphic dark energy models are the holographic dark energy model with different IR length scales.

14 pages, version to appear in PLB

References in corpus (10)

• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• Dark Energy and Gravity
• Instability of agegraphic dark energy models
• Cosmological implications of Karolyhazy uncertainty relation
• Holographic Foam, Dark Energy and Infinite Statistics
• New agegraphic dark energy model with generalized uncertainty principle
• A Comment or two on Holographic Dark Energy
• Fischler-Susskind holographic cosmology revisited
• Space-time uncertainty relation from quantum and gravitational principles

Cited by in corpus (5)

• Statefinder Diagnosis for Ricci Dark Energy
• Entropy-Corrected Holographic Dark Energy
• Reconstructing Quintom from Ricci Dark Energy
• Ricci Dark Energy in Brans-Dicke theory
• Cosmological Imprint of the Second Law of Thermodynamics