> As far as we know, those processes are governed by laws of physics which are all computable to arbitrary precision. Look at, for example, electron shot noise

> As far as we know, those processes are governed by laws of physics which are all computable to arbitrary precision. Look at, for example, electron shot noise for a counterexample. Given the state of a low-output lamp and a detector, one cannot compute the state of the detector after a period of time to arbitrary precision. We can say that the detector will have x% chance of triggering within the time period - but that is all. We cannot say definitely "the detector will trigger" or "the detector will not trigger", no matter how exactly we know the initial state of the system. And we already know that the human brain can be affected by similar processes (If nothing else, our eyes start registering at full night vision when <10 photons hit within 100ms, which is within the realm of shot noise.)