Relative information entropy in cosmology: The problem of information entanglement
Autor: | Viktor G. Czinner, Filipe C. Mena |
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Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Physics Letters B, Vol 758, Iss C, Pp 9-13 (2016) |
Druh dokumentu: | article |
ISSN: | 0370-2693 1873-2445 |
DOI: | 10.1016/j.physletb.2016.04.043 |
Popis: | 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 Rényi relative entropy formula. |
Databáze: | Directory of Open Access Journals |
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