  If space-time is emergent from a fundamentally non-geometric theory it will
generically be left with defects. Such defects need not respect the locality
that emerges with the background. Here, we develop a phenomenological model
that parameterizes the effects of nonlocal defects on the propagation of
particles. In this model, Lorentz-invariance is preserved on the average. We
derive constraints on the density of defects from various experiments.
