There’s a great PSE post on this.. take the field operator φ³.. as a field operator it’s not even clear what this even means
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Replying to @InertialObservr @MattersDarkly
Lmao yeah it’s pretty hilarious to see the PSE answer questions about physical significance of X, where we have the most abstract mathematical formalisms as far divorced from human experience as possible
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Replying to @litgenstein @MattersDarkly
Though if I’m not mistaken the S matrix and correlation functions and the invariant matrix element are essentially the same thing with different names
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The smatrix is just a correlation function with some extra creation and annihilation operators
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Replying to @InertialObservr @MattersDarkly
Hmm I guess the path from correlation function —> Smatrix seems to involve changes in information to me. Like if it was only a Fourier transform I’d be able to conceptualize how they’re the same, but I have a hard time of doing so now
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Replying to @litgenstein @MattersDarkly
You’re right about that ontologically
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I was speaking purely mathematically, to my detriment
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Replying to @InertialObservr @MattersDarkly
Yeah I think this could be a weakness of structural realism, but no matter how much I think about it it’s still hard to say anything that makes sense ontologically of correlation functions and the other mathematical objects/processes that we’re dealing with
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Possible that there are better questions to ask: does this have physical significance? Yes. Should we expect it to be preserved in a more fundamental theory? Yes. Then, here’s why....
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Replying to @litgenstein @MattersDarkly
But the question of what is being preserved isn’t even obvious lol
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Like the Feynman path integral wtf is that
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