2016/04/23 by Viktor G. Czinner, Filipe C. Mena · 1 citation
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Entropy (arrow of time) #Galaxies: Formation, Evolution, Phenomena #Generalized relative entropy #Information theory #Joint quantum entropy #Kullback–Leibler divergence #Mathematics #Mutual information #Parametric statistics #Physics #Quantum #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum relative entropy #Statistical Mechanics and Entropy #Statistical physics #Statistics #Theoretical physics #astro-ph.CO #cond-mat.stat-mech #gr-qc
paper · pdf · doi:10.1016/j.physletb.2016.04.043
published as Phys. Lett. B 758 (2016) 9-13 · 6 pages, 3 figures, to appear in Phys. Lett. B
arxiv created 2016/04/23 · openalex publication_date 2016/04/27 · arxiv updated 2016/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.