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I don't know why this hasn't been answered yet, but the simple answer is: no, the wave function doesn't collapse when it goes through the polarizer. The "photon" remains in a superposition of two states.


It does not matter which measurement happens first, and there is no privileged frame: in both frames, after the corresponding measurements, the quantum state of one particle evolves from a sharp position, while the other particle evolves from a state with a sharp momentum. This is what "wavefunction collapse" means in that case: measuring either momentum ...


I had the same thought a few years before you did. As I understand it - and I'm still thinking about this one - your question is excellent - when this happens out and about, all information about what the system was is lost within the system itself when it 'collapses' due to a measurement. There is nothing in the system itself which retains information about ...

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