Relative information entropy in cosmology: The problem of information entanglement

Autor: Viktor G. Czinner, Filipe C. Mena
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