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

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

2012-01-16

arxiv.org/abs/1201.3206v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pg, 3 fig

Scientific paper

Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial wormholes. The states depend on two parameters: the minimal size of the wormholes 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 wormholes. We parametrize this suppression by the distribution of wormhole lengths in the quantum foam. We discuss the general case and then analyze two specific natural wormhole distributions. Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work.

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