Time evolution of the mutual information between disjoint regions in the Universe
arXiv:2307.12959 · doi:10.3390/e25071094
Abstract
We study the time evolution of the mutual information between the mass distributions in spatially separated but casually connected regions in an expanding universe. The evolution of the mutual information is primarily determined by the configuration entropy rate which depends on the dynamics of the expansion and the growth of the density perturbations. The joint entropy between the distributions from the two regions plays a negligible role in such evolution. The mutual information decreases with time in a matter dominated Universe whereas it stays constant in a -dominated Universe. The CDM model and some other models of dark energy predict a minimum in the mutual information beyond which the dark energy dominates the dynamics of the Universe. The mutual information may have deeper connections to the dark energy and the accelerated expansion of the universe.
arXiv comment9 pages, 1 figure, Published in Entropy
References in corpus (41)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Constraining dark energy with SNe Ia and large-scale structure
- Dark Energy from structure: a status report
- A Map of the Universe
- Cosmic homogeneity demonstrated with luminous red galaxies
- A Test of the Cosmological Principle with Quasars
- On cosmic acceleration without dark energy
- The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity
- Evidence for anisotropy of cosmic acceleration
- Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution
- A structure in the early universe at z ~ 1.3 that exceeds the homogeneity scale of the R-W concordance cosmology
- Some Results on Mutual Information of Disjoint Regions in Higher Dimensions
- Averaging inhomogeneous Newtonian cosmologies
- Multiscale cosmology and structure-emerging Dark Energy: A plausibility analysis
- The scale of homogeneity of the galaxy distribution in SDSS DR6
- Inhomogeneity effects in Cosmology
- The Challenge of the Largest Structures in the Universe to Cosmology
- Scaling in the Universe
- A thermodynamic motivation for dark energy
- Testing homogeneity on large scales in the Sloan Digital Sky Survey Data Release One
- Entropy evolution of universes with initial and final de Sitter eras
- Seeing patterns in noise: Gigaparsec-scale `structures' that do not violate homogeneity
- Information Entropy in Cosmology
- Is the Universe Homogeneous? (On Large Scales)
- How unusual are the Shapley Supercluster and the Sloan Great Wall?
- Large-scale Cosmic Homogeneity from a Multifractal Analysis of the PSCz Catalogue
- A Giant Arc on the Sky
- Does information entropy play a role in the expansion and acceleration of the Universe?
- Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
- Thermodynamics of nonsingular bouncing universes
- Growth Rate and Configurational Entropy in Tsallis Holographic Dark Energy
- Relative information entropy in cosmology: The problem of information entanglement
- Configuration entropy of the Cosmic Web: Can voids mimic the dark energy?
- Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy
- Correlated orientations of the axes of large quasar groups on Gpc scales
- Configuration entropy in the CDM and the dynamical dark energy models: Can we distinguish one from the other?
- Relative entropy as a measure of inhomogeneity in general relativity
- A study of holographic dark energy models using configuration entropy
- Long-range enhanced mutual information from inflation
- Direct Calculation of Mutual Information of Distant Regions
- A new method to probe the mass density and the cosmological constant using configuration entropy