Disordered locality and Lorentz dispersion relations: an explicit model of 
quantum foam

Caravelli, Francesco; Markopoulou, Fotini

doi:10.1103/PhysRevD.86.024019

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Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam

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Caravelli, Francesco
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Markopoulou, Fotini
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1201.3206
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Citation

Caravelli, F., & Markopoulou, F. (2012). Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam. Physical Review D, 86: 024019. doi:10.1103/PhysRevD.86.024019.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EE89-A

Abstract

Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. The states depend on two parameters: the minimal size of the link and their density with respect to this length. Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links. We parametrize this suppression by the distribution of non-local links lengths in the quantum foam. We discuss the general case and then analyze two specific natural distributions. Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work.