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I don't believe that the registration of the electron with the photoplate in my example obeys any different than QT laws of nature. Why should I assume such a thing? That I always find one electron, if I have one electron and not added another one somehow, is already in the assumptions of QT. It's nothing you can derive, i.e., it's not somehow derived from QT but put into it as a postulate. If you'd rather find two cloudy extended spots when a single electron hits the photoplate, then QT would be invalid or rather you'd probably had a chance to interpret Schrödinger's wave function as Schrödinger initially did himself, identifying the electron with his wave function (field) in the sense of a classical field. It was exactly the observation of single electrons at one spot rather than the smeared charge distribution according to the wave function (or more precisely ##|\psi|^2##) that brought Born to his probabilistic interpretation of the wave function rather than to adopt Schrödingers classical-field interpretation.stevendaryl said:Well, if everything (including whatever device I used to detect an electron at a particular location) is described by unitary evolution, then why should the measurement result in a unique answer, as opposed to the universe being put into a superposition of
My problem is that if measurement is nothing but a complicated interaction of the type that individual particles undergo, then I don't see how there is any room for an additional assumption about measurements (that they give a definite result with particular probabilities). It's as if Newton's laws states that individual particles obey the three laws of motion, and then you add another law saying that snowflakes have six-fold symmetry. Either such a law is redundant (it is derivable from the laws of motion applied to the particles making up the snowflakes), or else it implies that there is something going on besides Newton's laws of motion.
- Detecting an electron on the left, and
- Detecting an electron on the right
That snowflakes have six-fold symmetry most probably cannot be derived from classical physics. I guess for this you need quantum theory. As far as I know the condensed-matter physicists now believe that the phase diagram of water is now understood completely from fist principles, but it's for sure not classical but quantum physics.