Quantum Hubble horizon

Abstract

The article addresses a possibility of obtaining cosmologically relevant effects from the quantum nature of the Hubble horizon. Following the observation made by E.~Bianchi and C.~Rovelli in Phys.\ Rev.\ D {\bf 84} (2011) 027502 we explore relationship between the Planck scale discreteness of the Hubble horizon and deformations of the symmetry of rotations. We show that the so-called $q$-deformations in a natural way lead to a mechanism of condensation in the very early Universe. We argue that this provides a possible resolution of the problem of initial homogeneity at the onset of inflation. Furthermore, we perform entropic analysis of the quantum Hubble horizon and show that the $\Lambda$CDM model may arise from linearly (in area of the horizon) corrected Bekenstein-Hawking entropy. Based on this, we have shown that the current accelerating expansion can be associated with the entropy decrease in the Hubble volume. The presented results open new ways to explore relation between the Planck scale effects and observationally relevant features of our Universe.

arXiv comment15 pages, 3 figures

References in corpus (28)

• The Standard Model Higgs boson as the inflaton
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Black hole entropy in Loop Quantum Gravity
• Nonperturbative Quantum Gravity
• Inflationary paradigm in trouble after Planck2013
• Inflationary paradigm after Planck 2013
• Cosmological Attractors and Initial Conditions for Inflation
• Higgs inflation from Standard Model criticality
• Beginning inflation in an inhomogeneous universe
• Creation of a Compact Topologically Nontrivial Inflationary Universe
• The Ponzano-Regge model
• Robustness of Inflation to Inhomogeneous Initial Conditions
• 3-dimensional Gravity from the Turaev-Viro Invariant
• Inhomogeneous Anisotropic Cosmology
• Anisotropic cosmological solutions in $R+R^2$ gravity
• Inflation and dark energy from f(R) gravity
• Black hole versus cosmological horizon entropy
• Inflation without Selfreproduction
• Holography and the scale-invariance of density fluctuations
• Compact phase space, cosmological constant, discrete time
• Probing cosmological isotropy with Planck Sunyaev-Zeldovich galaxy clusters
• On the initial conditions for inflation with plateau potentials: the $R+R^2$ (super)gravity case
• A note on the geometrical interpretation of quantum groups and non-commutative spaces in gravity
• Are $R^2$- and Higgs-inflations really unlikely?
• Acceleration of the Universe
• Initial conditions for inflation
• Our Universe from the cosmological constant
• Cosmological horizon entropy and generalised second law for flat Friedmann Universe

Cited by in corpus (4)

• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Modified cosmology from quantum deformed entropy
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Quantum fluctuations of the compact phase space cosmology