I agree as shown in a number of my posts that our universe is a CA [a 3d face centered cubic grid of regions containing points that can not leave that region is my best estimate so far], however one that is subject to an external random oracle.
My model attempts to show that all universes are subject to this oracle.
Such a CA is not closed so has no fixed map.
The oracle effects the rules as well as the local cell update event so
there would be no "locality"/"non locality" lack of ability to support
issue as far as I can see.