This makes me ask the question: Is it possible for a cellular automata to measure its state in one region without getting inconsistent results, since the simple act of measuring means changing its state?
I don't think the word 'measurement' has any meaning in a context without a memory. And without consistency you can't have a memory.
In other words in cellular automata context aren't the concepts of 'memory' and 'measurement' isomorphic. I.e. a cell pattern {c} can be copied from region 1 to region 2, and from there any number of times.
In other words in cellular automata context aren't the concepts of 'memory' and 'measurement' isomorphic. I.e. a cell pattern {c} can be copied from region 1 to region 2, and from there any number of times.
Or have I misunderstood something?