Information entropy in cosmology
Information entropy in cosmology
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DOI：
10.1103/physrevlett.92.141302
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发表时间：
2004-04-09
影响因子：
8.6
通讯作者：
Morita, M
中科院分区：
文献类型：
--
作者：
Hosoya, A;Buchert, T;Morita, M
非齐次宇宙学模型的有效演化可以用空间平均变量来描述。我们指出，在这种情况下，很自然地会产生一种与Kullback-Leibler相对信息熵的流体模型相同的度量，表示局部非均匀质量密度场与其在任意紧致域上的空间平均值的可区别性。我们讨论了“有效信息”的时间演变，并探讨了一些启示。我们推测，宇宙的信息含量——通过包含尘埃的宇宙模型的相对信息熵来测量——正在增加。
The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a measure arises which is identical to a fluid model of the Kullback-Leibler relative information entropy, expressing the distinguishability of the local inhomogeneous mass density field from its spatial average on arbitrary compact domains. We discuss the time evolution of "effective information" and explore some implications. We conjecture that the information content of the Universe-measured by relative information entropy of a cosmological model containing dust matter-is increasing.