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Journal Article

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

MPS-Authors

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

http://pubman.mpdl.mpg.de/cone/persons/resource/persons41566

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

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Fulltext (public)

1201.3206
(Preprint), 408KB

PRD86_024019.pdf
(Any fulltext), 398KB

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There is no public supplementary material available
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: http://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.