relative information entropy in cosmology: the problem of information entanglement
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ID: 234953
2016
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Abstract
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.
| Reference Key |
czinner2016physicsrelative
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|---|---|
| Authors | ;Viktor G. Czinner;Filipe C. Mena |
| Journal | ACS chemical biology |
| Year | 2016 |
| DOI |
10.1016/j.physletb.2016.04.043
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