I find the accepted interpretation of superposition in error, namely the conclusion that a system in such a state, is simultaneously in all states in its sum. For example, in the SG experiment, the UP / DOWN final states are defined by the orientation of the magnets. But here's the rub; we can do a transformation to any other basis set. So if the measured system is in some superposition, and is interpreted as being in those particular UP / DOWN states simulataneously, can't we say the system is ALSO in any other basis states obtained through a transformation from the measured states? Since these basis states are different, the standard interpretation of superposition implies the system is simultaneously in all basis states at the same time. AG
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