Path integral suppression of badly behaved causal sets

Abstract Causal set theory is a discrete model of spacetime that retains notion causal structure. We understand how to construct sets approximate given spacetime, but most are not at all manifold-like, and must be dynamically excluded if something like our Universe emerge from the theory. Here we show common these ‘bad’ sets, Kleitman–Rothschild orders, strongly suppressed in gravitational path integral, provide evidence large class other similarly suppressed. It thus becomes plausible continuum behavior could naturally quantum