Tyger
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Originally posted by jeff
In the absence of gravity, it's only the energy differences among states that's meaningful. However - and this is implicit in the point I'm making about GR - as soon as you introduce gravity, energy does in fact acquire an absolute meaning because the definition of a systems ground state energy is no longer arbitrary. (This is why I prefer not to view energy fundamentally, as some do, as simply generating time translations and hence dynamics.)
When we write the Hamiltonian for the Hydrogen atom we conveniently "forget" to include the rest energy of the Proton and Electron, so for instance the energy levels of bound states are negative. No states which have negative energy have been observed in Nature yet! But we all recognize that this is just sloppy bookkeeping. In the post about the Casimir effect I was saying that it was only this kind of sloppy bookkeeping that made it appear as if the vacuum had an intrinsic energy, and by george if H. Casimir didn't have the same idea as I did about it.
It's certainly true that Gravity helps to make us do the right bookkeeping, but I think if we're just a little more careful we can see what is "real" in terms of energy, fields, etc., and what is "fictitious".
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