Ken G
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Is there any such thing as an "objective description"? That's been my point here-- those words are essentially an oxymoron. But you do raise a valid issue-- what justifies an interpretation? When can we say one interpretation has been trumped by another? I think the only way you can do that is by replacing one interpretation by another that is clearly superior in almost every way. Where is the alternative to virtual particles? Maybe virtual particles do have a more checkered status than other interpretations, like "atoms" and "forces", but there are certainly plenty of experts who might be quick to give us all the reasons that neither atoms nor forces are the best ways to think about physics. To them, and to you, I would say, if you've got something better than virtual particles, let's hear it. And it can't just be "just solve the equations", because we can always do that-- we don't need atoms or forces or waves or any other ontological placeholder in our theories if all we are doing is solving equations.alxm said:Nobody's disputing that perturbative quantum field theories work. The point (which has been repeated ad nauseum in the many threads on the topic) is that the fact that they work does not in-itself justify interpreting the terms of a perturbation series as an objective description of the real physical processes involved (which itself already assumes a particular ontological position).
This is a sage example, and I believe I take your meaning, but I think that you sell your description short. Let's say that we didn't have any better way to picture what the interactions were in a helium atom (say, we never came up with the "electron" ontological placeholder, but instead we thought everything was about "hydrogenic excitation states" or some such concept to replace electrons). Then I would expect the description you gave might be exactly what we'd say-- far from being awkward and useless, it would be viewed as insightful and helpful. So if you really want to turn virtual particles into an analogy with virtual hydrogenic excitations, your mission is straightforward-- come up with the analogous concept to "electrons" to replace the virtual particle picture.To apply the argument to a common textbook example, you might calculate Helium's electronic ground state by taking hydrogen wave functions as my basis (thus, neglecting the electron-electron interaction) and proceed with a PT or variational calculation, summing contributions from 'virtual' excitations. That works to get the correct result. But if you interpreted that as being a physical description of how the e-e interaction worked ("Electrons in atoms interact through virtual hydrogenic states"?) rather than a feature of a mathematical description, people would say you're crazy.
I believe that is because of the absence of something better-- the absence of the analogous notion to the electron in an atom. Maybe string theory will give us that, I really don't know, but it doesn't seem like we have it now, based on the proliferation of the "virtual particle" notion.I don't why this should suddenly become a valid interpretation when the same general method is applied to quantum field theory.