  While it is possible to build causal sets that approximate spacetime
manifolds, most causal sets are not at all manifold-like. We show that a
Lorentzian path integral with the Einstein-Hilbert action has a phase in which
one large class of non-manifold-like causal sets is strongly suppressed, and
suggest a direction for generalization to other classes. While we cannot yet
show our argument holds for all non-manifold-like sets, our results make it
plausible that the path integral might lead to emergent manifold-like behavior
with no need for further conditions.
