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On the Measure in Simplicial Gravity
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Functional measures for lattice quantum gravity should agree with their continuum counterparts in the weak field, low momentum limit. After showing that the standard simplicial measure satisfies the above requirement, we prove that a class of recently proposed non-local measures for lattice gravity do not satisfy such a criterion, already to lowest order in the weak field expansion. We argue therefore that the latter cannot represent acceptable discrete functional measures for simplicial geometries.
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Studying replica wormholes and the Page curve with simplicial quantum gravity
A coarse simplicial quantum gravity model produces semiclassical saddles whose swap entropy rises and then falls, reproducing the Page transition at n→1+.
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