This little app makes me feel, perhaps more than I ever have before, that CA might be what's under the hood of the whole universe. (Not a Wolfram fanboy, just reporting on a new sense of awe and mystery!)
the Bell Inequality is one of the things that really puts a damper in that idea. It's like OK everything is local with a speed limit, but there is a little but of superluminal stuff it's just not actually useful in any way except to wet blanket ideas like this.