The Bekenstein-Hawking entropy state counting and the Page curve for Hawking radiation entanglement entropy are equivalent from the gravity path integral viewpoint via a convex optimization problem for von Neumann entropy.
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Generalized Euclidean wormhole constructions in 3D gravity produce holographic duals to approximately homogeneous closed baby-universe cosmologies and identify a necessary condition for the cosmological saddle to dominate the path integral.
In a doubly holographic black hole model, the dimension of the microstate Hilbert space equals the sum of the quantum-corrected thermodynamic entropies of the left and right black holes, which equals the generalised entropy quantifying entanglement between the asymptotic boundaries.
citing papers explorer
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State counting in gravity and maximal entropy principle
The Bekenstein-Hawking entropy state counting and the Page curve for Hawking radiation entanglement entropy are equivalent from the gravity path integral viewpoint via a convex optimization problem for von Neumann entropy.
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Menagerie of Euclidean constructions for 3D holographic cosmologies
Generalized Euclidean wormhole constructions in 3D gravity produce holographic duals to approximately homogeneous closed baby-universe cosmologies and identify a necessary condition for the cosmological saddle to dominate the path integral.
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Quantum corrected black hole microstates and entropy
In a doubly holographic black hole model, the dimension of the microstate Hilbert space equals the sum of the quantum-corrected thermodynamic entropies of the left and right black holes, which equals the generalised entropy quantifying entanglement between the asymptotic boundaries.