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Free keywords:
General Relativity and Quantum Cosmology, gr-qc
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.
