Coarse-graining of the Einstein-Hilbert Action rewritten with the two-dimensional Fisher information metric Article Swipe
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In this study, considering the Fisher information metric given by the statistical average, we rewrite the Einstein-Hilbert (EH) action. Then, determining the transformation rules of the Fisher metric, etc under the coarse-graining, we perform the coarse-graining toward that rewritten EH action. We finally obtain the fixed-point. The space-time we consider in this study is two-dimensional.
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