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- From: mcirvin@husc8.harvard.edu (Matt McIrvin)
- Newsgroups: sci.physics
- Subject: Re: gravitons
- Message-ID: <mcirvin.728009357@husc.harvard.edu>
- Date: 26 Jan 93 00:49:17 GMT
- Article-I.D.: husc.mcirvin.728009357
- References: <93025.162912DTC3@psuvm.psu.edu>
- Lines: 50
- Nntp-Posting-Host: husc8.harvard.edu
-
- DTC3@psuvm.psu.edu writes:
-
- >In any event, a prime assertion of General Relativity is that gravity
- >is *not a force*, but a characteristic of the geometry of spacetime;
- >it seems, then, that the notion of a force propagator (the graviton)
- >moving about in spacetime is not consistent with this assertion.
-
- Gravitons are speculative, but in attempts so far to quantize gravity
- it doesn't matter that gravity is not a force in the usual sense: the
- gravitons are quantized vibrations in spacetime geometry, and a field
- made of virtual gravitons would (in the limit of large numbers) presumably
- look like an ordinary distortion in spacetime. The major problem is
- that if you try the kind of approach to quantization that is used for
- other theories, you find that the infinities that arise in quantum
- field theories can't be handled in the usual way. This seems to
- imply that whatever does work, it's not the usual approach where
- you calculate things perturbatively using Feynman diagrams. So in
- that sense it probably won't make sense to talk about things being
- scattered by virtual gravitons.
-
- The difficulty, though, is *not* the geometric nature of the theory,
- in and of itself. Classical electromagnetism is equivalent to a theory
- in which the "force" is a similar geometric effect, operating on a five-
- dimensional spacetime where the fifth dimension is curled up into a
- little circle; objects spiral around the resulting "tube" at angles
- dependent on their charges, and the geometry of five-dimensional spacetime
- makes them veer about. (This isn't quite Kaluza-Klein theory--
- you get that when you say additionally that the dynamics of the
- spacetime itself are given by a generalization of the Einstein
- equation to five dimensions. Here I'm just speaking of Maxwell
- electromagnetism as something called a "U(1) principal bundle.")
-
- Yet electromagnetism can be quantized and the "force" described as due
- to virtual photons. In fact, the geometric picture then becomes a nice
- way to visualize gauge symmetry.
-
- > And
- >as there are no direct experimental data regarding the behavior of
- >gravity at the quantum level, can the existence of a neutral, massless,
- >spin-2 graviton be justified on symmetry grounds alone?
-
- Well, maybe. Basically, if quantum gravity acts even vaguely like
- any other quantum field theory, that's what the graviton ought to be
- like based on symmetry arguments and the properties of general
- relativity. But nobody really knows if this is really the case.
-
- (And I don't feel qualified to say much more about this, seeing as I've
- already screwed up one factual statement about massless propagators...)
- --
- Matt McIrvin
-