Does Locality Fail at Intermediate Length-Scales

Details Does Locality Fail at Intermediate Length-Scales Does Locality Fail at Intermediate Length-Scales

2007-03-20

arxiv.org/abs/gr-qc/0703099v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

plainTeX, 24 pages, 2 figures. To appear in Daniele Oriti (ed.), {\it Towards Quantum Gravity} (Cambridge University Press, 20

Scientific paper

If quantum gravity implies a fundamental spatiotemporal discreteness, and if its ``laws of motion'' are compatible with the Lorentz transformations, then physics cannot remain local. One might expect this nonlocality to be confined to the fundamental discreteness scale, but I will present evidence that it survives at much lower energies, yielding for example a nonlocal equation of motion for a scalar field propagating on an underlying causal set.

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