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Generalized Gibbs Ensembles in Discrete Quantum Gravity

MPS-Authors
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Chirco,  Goffredo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kotecha,  Isha
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1906.07113.pdf
(Preprint), 140KB

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Citation

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.


Cite as: http://hdl.handle.net/21.11116/0000-0003-D83D-6
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.