Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/41614
Título: | Relative information entropy in cosmology: The problem of information entanglement |
Autor(es): | Czinner, Viktor G. Mena, Filipe C. |
Palavras-chave: | Cosmic inhomogeneities Information entropy Large scale structure |
Data: | Jul-2016 |
Editora: | Elsevier 1 |
Revista: | Physics Letters B |
Resumo(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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/41614 |
DOI: | 10.1016/j.physletb.2016.04.043 |
ISSN: | 0370-2693 |
Versão da editora: | http://www.sciencedirect.com/science/article/pii/S0370269316301162 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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PLB-published.pdf | 419,05 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons