A. Neumaier
Science Advisor
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Born's rule in all its textbook forms claim that measurements produce eigenvalues, and don't say anything about resolution. This shows that Born's rule is an idealization, but people talk as if it were a universal basic law. Real measurement is something quite complicated,Morbert said:Wouldn't this require perfect resolution to be true? And perfect resolution would not be possible even in principle due to the Wigner-Araki-Yanase theorem.
Instead actual position measurements would be modeled with some POVM and yield a highly localized distribution.