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The Wald entropy formula and loop quantum gravity

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arxiv 1304.3025 v2 pith:PLPC3OOC submitted 2013-04-10 gr-qc hep-th

classification gr-qchep-th
keywords entropygravityloopwaldareaformulaquantumaction
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We outline how the Wald entropy formula naturally arises in loop quantum gravity based on recently introduced dimension-independent connection variables. The key observation is that in a loop quantization of a generalized gravity theory, the analog of the area operator turns out to measure, morally speaking, the Wald entropy rather than the area. We discuss the explicit example of (higher-dimensional) Lanczos-Lovelock gravity and comment on recent work on finding the correct numerical prefactor of the entropy by comparing it to a semiclassical effective action.

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Cited by 2 Pith papers

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  1. Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity

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    Analytic shear and bulk viscosity formulas are derived for a five-dimensional Einstein-Scalar-Maxwell-Gauss-Bonnet holographic model, with the shear viscosity cross-checked by Kubo methods.

  2. A Thermodynamic Positivity Bound on Higher-Derivative 3-Form Couplings in de Sitter, and its Inflationary Consequences

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Thermodynamic positivity of black hole entropy yields a new constraint on higher-derivative 3-form couplings, which in turn restricts viable 3-form inflation models.

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