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Demystifier reacted to Sambuco's post in the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture with
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As a quick aside, as I mentioned in post #94, Mott has nothing to do with Coleman's argument. Mott's analysis is correct, and in fact it... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.The state ##|C_1\rangle## corresponds to the trajectory ##T_1##, while the state ##|C_2\rangle## corresponds to the trajectory ##T_2##... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.OK, now I understand where the controversy comes from. @PeterDonis has already explained it in one of the posts, so I will just rephrase... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.Why irrelevant? I have a very elementary question for you, related to the Mott-Coleman argument. Let ##|C_1\rangle## be a state (of the... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.One additional note. The error in the Mott-Coleman argument is conceptually similar to the error of failing to distinguish proper and... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.Here is a more general version of my argument that the projector ##L## with the desired properties does not exist. Since ##L## is a... -
Demystifier reacted to PeterDonis's post in the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture with
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Well, the associated eigenspace of L with eigenvalue +1 is the entire space of possible linear superpositions of straight-line tracks... -
Demystifier reacted to Sambuco's post in the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture with
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In case it helps, I'll share my interpretation of what Coleman is trying to say. He begins by defining the operator ##L## as having... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.But these states have zero probability of appearing, given that exactly one particle interacts with the apparatus. The Hilbert space... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.Fine, but I claim that this space, in the given setup, is effectively 2-dimensional as well. That's the crucial thing. Why do you think... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.Exactly! -
Demystifier reacted to PeterDonis's post in the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture with
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The individual ones do. But the actual quantum state that's prepared is not one of them. It's a linear superposition of all of them... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.@gentzen you have not understood my point. Let me explain it by a different, but mathematically equivalent example. Instead of the ion... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.Fine, suppose that there are two atoms, one on the left and one on the right. And suppose that you observe that no atom is ionized... -
Demystifier replied to the thread Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture.I think I disagree. If there is exactly one scattered particle, then there is no state ##|{\rm neutral}_L,{\rm neutral}_R\rangle##...