Susskind–Uglum conjecture on bulk entropy and Newton's constant

In the exterior region of a black hole, the bulk entropy Sbulk(ρ)S_{bulk}(\rho) is regulated by a bulk UV cutoff, while the area term in the quantum extremal surface formula depends on Newton's constant GNG_N. Susskind–Uglum conjecture. The renormalization of the bulk entropy due to the bulk UV cutoff exactly cancels out the renormalization of Newton's constant in the area term. This proposal relates the UV divergence of bulk entanglement entropy to the renormalization of Newton's constant and is intended to resolve the finiteness puzzles in the quantum extremal surface formula; its status is not settled here.

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Primary source

Elliott Gesteau, “Large N von Neumann algebras and the renormalization of Newton's constant”, arXiv:2302.01938 (2023).

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