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- Can the Born rule of quantum mechanics be derived from more fundamental principles?

Hey there!

I’ve been thinking about the Born rule recently and whether it can be derived from the other postulates from QM.

I’ve done a bunch of google searching, across PF, stackexchange and the arxiv, but most of it has felt a little opaque, particularly on whether anything has been ‘accepted’ as a derivation yet.

I decided to just try myself: using the assumptions that probability needs to be conserved under unitary transformations, that the rule holds for all quantum systems, and that the probabilities are functions of the respective amplitudes, I

Do those assumptions go beyond the other postulates of QM, or are they perhaps in any sense less ‘fundamental’ than the Born rule itself?

Thanks in advance!

I’ve been thinking about the Born rule recently and whether it can be derived from the other postulates from QM.

I’ve done a bunch of google searching, across PF, stackexchange and the arxiv, but most of it has felt a little opaque, particularly on whether anything has been ‘accepted’ as a derivation yet.

I decided to just try myself: using the assumptions that probability needs to be conserved under unitary transformations, that the rule holds for all quantum systems, and that the probabilities are functions of the respective amplitudes, I

*think*I’ve showed that the Born rule must hold.Do those assumptions go beyond the other postulates of QM, or are they perhaps in any sense less ‘fundamental’ than the Born rule itself?

Thanks in advance!