My favorite experiment in that vain is https://en.wikipedia.org/wiki/Pound%E2%80%93Rebka_experiment https://en.wikipedia.org/wiki/Pound%E2%80%93Rebka_experiment

My favorite experiment in that vain is https://en.wikipedia.org/wiki/Pound%E2%80%93Rebka_experiment https://en.wikipedia.org/wiki/Pound%E2%80%93Rebka_experiment - using loudspeakers to cause Doppler to compensate for redshift. 1959 - 22m, 2021 - 1 mm, a Moore's law for such measurements seems to be "doubling precision about each 4 years".