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arxiv: gr-qc/0703099 · v1 · submitted 2007-03-20 · 🌀 gr-qc

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Does Locality Fail at Intermediate Length-Scales

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classification 🌀 gr-qc
keywords discretenessfundamentalmotioncannotcausalcompatibleconfinedenergies
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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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Cited by 1 Pith paper

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    Causal sets can approximate black hole horizons via discrete timelike curves and ladders tracing null geodesics, with a discrete expansion changing sign across the horizon in a 1+1D toy model.