If that was the case, we would already have a quantum theory of gravity. The fact that “gravitons” (here I mean the particles of a second quantisation of GR) can interact with themselves makes the theory almost completely useless.
It’s technically possible to write down such a theory, but the only way to get results out of it is to first perform an infinite number of experiments.
Maybe gravitons aren’t affected by gravity, the same way photons aren’t affected by em interactions (which they carry).
If that was the case, we would already have a quantum theory of gravity. The fact that “gravitons” (here I mean the particles of a second quantisation of GR) can interact with themselves makes the theory almost completely useless.
It’s technically possible to write down such a theory, but the only way to get results out of it is to first perform an infinite number of experiments.