More fundamentally would be the invariant matrix element for a given process, it essentially decouples all of the quantum stuff from the SR and all of the things on your list are functions of these
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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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