Scott Aaronson argues that, based on what we know about quantum mechanics, Wolfram's "long-range thread" cannot reproduce special relativity and Bell inequality violations:
It seems to me that Aaronson's argument can be easily bypassed by adding non-local hidden variables in the form of a loosely connected network that essentially injects pseudo-randomness into the approximately flat Minkowski spacetime network. Note that Bell's inequality does not rule out non-local hidden variables as a viable explanation of quantum mechanics.