You don't have to go to science fiction for this. Science fact will do. On Earth, with Atomic Time, we already have to account for general relativistic effect

You don't have to go to science fiction for this. Science fact will do. On Earth, with Atomic Time, we already have to account for general relativistic effects. Doco from the BIPM (the SI Brochure) already talks about accounting for them across the sizes of the measuring devices.