Information Entropy in Cosmology
- 9 April 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 92 (14) , 141302
- https://doi.org/10.1103/physrevlett.92.141302
Abstract
The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a measure arises which is identical to a fluid model of the Kullback-Leibler relative information entropy, expressing the distinguishability of the local inhomogeneous mass density field from its spatial average on arbitrary compact domains. We discuss the time evolution of “effective information” and explore some implications. We conjecture that the information content of the Universe—measured by relative information entropy of a cosmological model containing dust matter—is increasing.Keywords
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This publication has 6 references indexed in Scilit:
- First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological ParametersThe Astrophysical Journal Supplement Series, 2003
- Cosmological Parameters Are DressedPhysical Review Letters, 2003
- Elements of Information TheoryPublished by Wiley ,2001
- On Average Properties of Inhomogeneous Fluids in General Relativity: Perfect Fluid CosmologiesGeneral Relativity and Gravitation, 2001
- On Average Properties of Inhomogeneous Fluids in General Relativity: Dust CosmologiesGeneral Relativity and Gravitation, 2000
- On Information and SufficiencyThe Annals of Mathematical Statistics, 1951