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The enigmatic gravitational partition function

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arxiv 2411.00267 v3 pith:NKH5BKNV submitted 2024-10-31 hep-th gr-qc

Batoul Banihashemi , Ted Jacobson This is my paper
classification hep-thgr-qc
keywords horizonentropygravitationalgroundpartitionshakysomespace
verification ladder T0 review T1 audit T2 compute T3 formal
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The saddle point approximation to formal quantum gravitational partition functions has yielded plausible computations of horizon entropy in various settings, but it stands on shaky ground. In this paper we visit some of that shaky ground, address some foundational questions, and describe efforts toward a more solid footing. We focus on the case of de Sitter horizon entropy which, it has been argued, corresponds to the dimension of the Hilbert space of a ball of space surrounded by the cosmological horizon.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Norm of the no-boundary state

    hep-th 2025-06 conditional novelty 7.0 of 10

    At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.

  2. How to Count States in Gravity

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Gibbons-Hawking Euclidean gravity path integral with periodic time equals an explicit thermal trace over the single-boundary quantum gravity Hilbert space.

  3. Thermodynamics of black and white holes in ensemble of Planckons

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A toy model counting pairs of Planckons gives integer black hole entropy, negative white hole entropy, charge-independent Reissner-Nordstrom entropy, and a quantized cosmological constant.

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