Does information entropy play a role in the expansion and acceleration of the Universe?

Abstract

We propose an interpretation of the expansion and acceleration of the Universe from an information theoretic viewpoint. We obtain the time evolution of the configuration entropy of the mass distribution in a static Universe and show that the process of gravitational instability leads to a rapid dissipation of configuration entropy during the growth of the density fluctuations making such a Universe entropically unfavourable. We find that in an expanding Universe, the configuration entropy rate is governed by the expansion rate of the Universe and the growth rate of density fluctuations. The configuration entropy rate becomes smaller but still remains negative in a matter dominated Universe and eventually becomes zero at some future time in a $\Lambda$ dominated Universe. The configuration entropy may have a connection to the dark energy and possibly plays a driving role in the current accelerating expansion of the Universe leading the Universe to its maximum entropy configuration.

arXiv comment4 pages, no figures, minor revision, Accepted for publication in MNRAS Letters

References in corpus (34)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• How Filaments are Woven into the Cosmic Web
• Constraining dark energy with SNe Ia and large-scale structure
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• A Larger Estimate of the Entropy of the Universe
• Entropic Accelerating Universe
• A Local Void and the Accelerating Universe
• Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
• Constraining dark energy from the abundance of weak gravitational lenses
• Does the entropy of the Universe tend to a maximum?
• Testing the dark energy with gravitational lensing statistics
• Constraints on large scale inhomogeneities from WMAP-5 and SDSS: confrontation with recent observations
• A thermodynamic motivation for dark energy
• Entropy evolution of universes with initial and final de Sitter eras
• Strong Gravitational Lensing and Dark Energy
• Information Entropy in Cosmology
• How much a galaxy knows about its large-scale environment?: An information theoretic perspective
• Identification of All Dark Matter as Black Holes
• Large-scale galaxy correlations as a test for dark energy
• Cosmic Information, the Cosmological Constant and the Amplitude of primordial perturbations
• Do We Really Understand the Cosmos?
• Thermodynamics of nonsingular bouncing universes
• A method for testing the cosmic homogeneity with Shannon entropy
• Relative information entropy in cosmology: The problem of information entanglement
• Cosmological constraints from large-scale structure growth rate measurements
• A new method for testing isotropy with Shannon entropy
• On the complexity and the information content of cosmic structures
• Dark energy from entanglement entropy
• Relating information entropy and mass variance to measure bias and non-Gaussianity

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