I was recently thinking of a thought experiment:
- Graviton detectors can exist
- The equivalence principle will hold in the final theory of quantum gravity
- We can accelerate the graviton detector
Lets say I have a graviton detector (it detects the number of gravitons). In presence of a gravitational field we expect it to detect the graviton. However, in absence of a gravitational field we can also make it detect gravitons by accelerating the detector (by the equivalence principle). However, if we accelerate the detector then how many times will the detector "click"? Will it "click" at all?
- If it clicks (under acceleration): it will imply that acceleration too is quantized
- If it doesn't click: It would imply there is no such thing as a graviton or a graviton detector (personally I think there's no need for a "or"). It could also imply the equivalence principle does not hold.
- It is impossible to accelerate the graviton detector and for it too remain a graviton detector: I don't think this is likely but wrote it for completeness sake
Is the premise of the experiment even correct? (I think I must be missing something)? If it is correct what is the resolution of the paradox?