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Perturbatively quantized gravity exists and completely reproduces General Relativity as a quantum phenomenon. Study of perturbatively quantized gravity is prec
by raattgift 10y ago
Perturbatively quantized gravity exists and completely reproduces General Relativity as a quantum phenomenon.
Study of perturbatively quantized gravity is precisely why we know that General Relativity is not renormalizable by power-set counting in strong gravity, and precisely why we have a good definition for strong gravity (more than one loop of gravitons in a Feynman diagram) and also why we have a good idea about where to expect strong gravity (very close to the centre of mass-momentum of a black hole, and very close to the big bang).
Although the behaviour of arbitrarily high energy and high density matter may be found in a very different theory from General Relativity, there is no presently known reason why approaches involving renormalization group flow (e.g. asymptotically safe gravity) cannot "save" perturbatively quantized gravity by providing a renormalization scheme that works into the UV limit. One could likewise point to GUT programmes and say that at those energy scales a theory very different from the Standard Model will be more useful.
In the meanwhile, perturbatively quantized gravity is a perfectly good effective field theory, in the sense of the work by Kenneth G Wilson.
The point you're replying to is better addressed this way: the Standard Model doesn't even properly consider gravity, and it simply does not need to if in the UV completion of General Relativity you can recover the Minkowski metric in sufficiently tiny regions of spacetime. That's because the Poincaré group, the symmetry group of region of spacetime with the Minkowski metric induced on it, is baked right into the group theory of the Standard Model, and into General Relativity. One can read this as the Standard Model subsuming Einsteinean gravitation into it at that level, and thanks to perturbatively quantized gravity one could equally pencil in a gluon on the particle zoo tables and do gauge theory on that, and expect consistent results outside strong gravity as described above.
Finally, even if other symmetries are added (or the three matter ones are unified) in a Beyond the Standard Model Yang-Mills group theory, the couplings with the graviton outside strong gravity will be straightforward.
So, I don't agree that the fundamental theories of gravity and matter are a patchwork, nor that they mesh poorly, even though we do not have a meshing that works to arbitrarily high energy levels. But crucially, those arbitrarily high energy levels might not even be physically observable; we aren't certain about that yet.
Finally, whatever dark energy and dark matter are, how they generate the metric and how they interact with the rest of the Standard Model are subjects of various research programmes competing with radically different ideas for a theory of quantum gravity.