I think of an NMR experiment, but with a single spin half nucleus initially set to the excited state.
When the nucleus finally returns to its ground state, it will emit a photon. An observer in the lab frame will see a photon in the Larmor frequency. An observer in a rotating frame, very close to the Larmor frequency, will see a photon with a very very low frequency.
My question is: Because of the frequency difference, will it take the detector of the rotating frame observer longer time to tick (i.e., detect the photon) compared to the lab frame observer?
Also, and i know it sounds silly, if there is a different, does this somehow relates to time dilution in general relativity?