  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.
