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RE: Is the universe a finite state machine?
Okay. I won't argue on ''Did you check Layzer?'' etc. Lets compact it - on your first paragraph will ask you.: ''Name at least one closed system.'' and on your second paragraph.: ''you do not measure streams? your noun-sentence occured whole and instantly?'' - name please a think which is not matter-form-process simultaneously? Information is a verb, not noun - exactly in-form ... forget about quantum collapses by seeing something :) it is not in the formulae. But how things limit each others' entropy is = measurement, interaction. And entropy is nothing but degrees of freedom.