This kind of reminds me of something I thought of a while ago when playing around with cellular automata in Golly; With many cellular automata rules, you get c

This kind of reminds me of something I thought of a while ago when playing around with cellular automata in Golly; With many cellular automata rules, you get chaotic universes, which slowly stabilize into some final state. Frequently there are small active regions which take longer to stabilize, and which may travel across the entire state before they eventually do. So could our 4-dimensional universe be the final stable state in a 5-dimensional cellular automaton (or some similar structure)? This would allow every part of the universe to influence every other part without regard for space/time separation, but the rules could still be set up such that the particles in the final state adhere to causality, don't exceed the speed of light, etc... I think it might only work if the final state represents a fully collapsed universe without superpositions. I'm not sure how realistic that is.