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  Generalized Gibbs Ensembles in Discrete Quantum Gravity

Chirco, G., & Kotecha, I. (2020). Generalized Gibbs Ensembles in Discrete Quantum Gravity. In Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings. doi:10.1007/978-3-030-26980-7_66.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-D83D-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-C72D-8
Genre: Book Chapter

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 Creators:
Chirco, Goffredo1, Author              
Kotecha, Isha1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: Maximum entropy principle and Souriau's symplectic generalization of Gibbs states have provided crucial insights leading to extensions of standard equilibrium statistical mechanics and thermodynamics. In this brief contribution, we show how such extensions are instrumental in the setting of discrete quantum gravity, towards providing a covariant statistical framework for the emergence of continuum spacetime. We discuss the significant role played by information-theoretic characterizations of equilibrium. We present the Gibbs state description of the geometry of a tetrahedron and its quantization, thereby providing a statistical description of the characterizing quanta of space in quantum gravity. We use field coherent states for a generalized Gibbs state to write an effective statistical field theory that perturbatively generates 2-complexes, which are discrete spacetime histories in several quantum gravity approaches.

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 Dates: 2019-06-172020
 Publication Status: Published online
 Pages: 8 pages; Springer LNCS format; invited contribution to the conference proceedings of GSI 2019, to be published in Springer's LNCS series: Geometric Science of Information 2019, ed. F. Nielsen and F. Barbaresco
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 Identifiers: arXiv: 1906.07113
URI: http://arxiv.org/abs/1906.07113
DOI: 10.1007/978-3-030-26980-7_66
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Title: Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings
Source Genre: Book
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Pages: - Volume / Issue: - Sequence Number: 66 Start / End Page: - Identifier: ISBN: 978-3-030-26979-1