Originally posted by marcus
Carefully chosen words!
Patrick perhaps you have a reference for this: I have read several places that "graviton" may be an artifact of using a flat space----but now I cannot lay my hand on the reference.
yes, of course gravitons are an artifact of flat spacetime! and what's more, so are all particles!
what i mean by that is, well you noticed how the original poster said we were sure about the existence of electrons. but in nonflat spacetime, what is an electron in one frame might not be an electron in another!
a particle has quantum numbers that are invariants of its symmetry group, which is the Poincaré group, in flat spacetime. so mass and spin are how we characterize the spacetime properties of particles, in flat spacetime.
all that goes out the window in nonflat backgrounds. not only do you not have a graviton, you do not have an electron or a photon! it is possible to to perturbation around a nonflat background of course, but depending on what the symmetries of the background are, it may be very hard to decide on what you want to call a particle.
also, the situation is analogous for the electromagnetic field. if you are in a vacuum, then perturbation theory makes a photon a useful approximation. but if there is some strong field electromagnetic background, then this notion becomes more troublesome. you can treat the background as classical, and photons as perturbations around that classical background, but it is difficult to construct a strong classical background out of particles.
(i guess this has something to do with coherent states. i don t know much about that)
the point of the story is: a particle interpretation is most useful in perturbation theory around a flat background, and it becomes strained, if not completely useless, in other situations.
nevertheless, we expect to be able to do physics in these weak field regimes, where the particle interpretation is intact, so we expect there to be a graviton in any quantum theory of gravity.
Maybe you can confirm this, or perhaps it is a misconception which you can correct. I have concluded, then, that the idea of an
electron is very useful because it is not just an artifact of mathematical circumstances and it does NOT go away when you change the problem. You can accelerate it, make atoms with it, run it through wires, charge a battery, and you can make it live in curved space, like around a black hole.
this is not correct! an electron is a relative term as well!
Or as you say (and there may be a difference) "gravitons" appear in the math when one uses a "linearized" model. This makes me think that we are talking about an approximation out of, say, a pertubative analysis. Please be more specific, if it would not be too much trouble for you. Thanks,
marcus
of course it is perturbative.