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Does Locality Fail at Intermediate Length-Scales

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arxiv gr-qc/0703099 v1 pith:C3MUPET4 submitted 2007-03-20 gr-qc

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 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charting causal set configuration space with graph observables

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    Link degree distribution, symmetrized Hasse diagram Laplacian eigenvalues, and causal interval abundance distinguish nine classes of causal sets.

  2. Dynamics of discrete spacetimes with Quantum-enhanced Markov Chain Monte Carlo

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A constrained quantum-enhanced MCMC algorithm with an approximate Benincasa-Dowker Hamiltonian samples causal sets, claiming a cubic scaling advantage in spectral gap on small instances.

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