Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/41614

TitleRelative information entropy in cosmology: The problem of information entanglement
Author(s)Czinner, Viktor G.
Mena, Filipe C.
KeywordsCosmic inhomogeneities
Information entropy
Large scale structure
Issue dateJul-2016
PublisherElsevier
JournalPhysics Letters B
Abstract(s)The necessary information to distinguish a local inhomogeneous mass density field from its spatial average on a compact domain of the universe can be measured by relative information entropy. The Kullback-Leibler (KL) formula arises very naturally in this context, however, it provides a very complicated way to compute the mutual information between spatially separated but causally connected regions of the universe in a realistic, inhomogeneous model. To circumvent this issue, by considering a parametric extension of the KL measure, we develop a simple model to describe the mutual information which is entangled via the gravitational field equations. We show that the Tsallis relative entropy can be a good approximation in the case of small inhomogeneities, and for measuring the independent relative information inside the domain, we propose the R\'enyi relative entropy formula.
TypeArticle
URIhttps://hdl.handle.net/1822/41614
DOI10.1016/j.physletb.2016.04.043
ISSN0370-2693
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0370269316301162
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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