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Is the meassurement problem - that observation causes 'wave function collapse', or that a set of probabilities becomes a distinct characteristic through observation simply a case of one observation, one data point can't make a statistic? So with one observer for one quanta offers discrete properties.

closed as off-topic by Swami Vishwananda, John Am, virmaior, Dan Hicks, Not_Here Jul 23 '17 at 14:50

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    What exactly is your question? Right now the first sentence of this question is a run on sentence and because of that I'm not sure exactly what it is you're asking. The measurement problem is just the question of "does wave function collapse happen?" The Copenhagen interpretation says yes and it happens instantaneously; the many worlds interpretation says it does not happen at all because all outcomes are physically realized in different worlds. Again, I'm not sure what exactly it is that you're asking, but that is the measurement problem and two examples of offered solutions. – Not_Here Jul 22 '17 at 9:41
  • So for example, if a system Z wishes to measure a property of a system O, but can only do this measurement through an indirect and intermediary measurement of system (X+O) and (Y+O) at time t2 (X and Y having directly measured O at time t1), you get a statistic. But if Z simply measures O at time t2, you get a determinate value - 1 data point doesn't get you an average or a variance. – Ilya Grushevskiy Jul 23 '17 at 13:34
  • I still don't understand what your question is, because the comment you just wrote doesn't have a question in it, it only has assertions. When you measure a quantum object you don't have a wave function anymore, you don't have probability amplitudes anymore, you just get an object with some property that came to be nondeterministically. Yes, one data point isn't a statistic but that seems like a non-sequitur to what you're talking about. You might have better luck asking something like "what is a wave function" on the physics stack exchange. – Not_Here Jul 23 '17 at 14:09
  • Are you asking something like "why does the spin of an electron have a 50% chance to be up and 50% chance to be down when measured even though it can only be measured once and therefore it only can be one data point?" If so, then again you are misunderstanding what a wave function is. – Not_Here Jul 23 '17 at 14:11
  • Maybe you're asking about statistical ensemble interpretations of quantum mechanics? They are generally ruled out by scientists and philosophers. – Quentin Ruyant Jul 24 '17 at 12:34

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