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General relativity as the equation of state of spin foam

2012/05/24 by Lee Smolin, Smolin, Lee · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.48550/arxiv.1205.5529

9 pages, Latex, 3 figures

arxiv created 2012/05/24 · openalex publication_date 2012/05/24 · arxiv updated 2012/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Building on recent significant results of Frodden, Ghosh and Perez (FGP) and Bianchi, I present a quantum version of Jacobson's argument that the Einstein equations emerge as the equation of state of a quantum gravitational system. I give three criteria a quantum theory of gravity must satisfy if it is to allow Jacobson's argument to be run. I then show that the results of FGP and Bianchi provide evidence that loop quantum gravity satisfies two of these criteria and argue that the third should also be satisfied in loop quantum gravity. I also show that the energy defined by FGP is the canonical energy associated with the boundary term of the Holst action.

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