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But observables are stochastic, not deterministic.

If you refer to measuring and wave function collapse in QM, then yes, but for that you need interaction with the environment (the observer), that’s why I specified “isolated”. Regardless, even the wave function collapse is a state transition, albeit stochastic. I assume state machines allow for stochastic transitions?

wave function collapse is not an open and shut case. it’s fancy math in place to explain it. there are multiple interpretations of what is going on including the many worlds interpretation and my personal favorite the GWR interpretation.

at the end of the day we don’t know what is going on at that level and we are speculating wildly based on the math we have.

the math is sometimes useful as it has some real life applications - but speculation is speculation

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