In quantum mechanics, it seems that nothing has exact positions, and in the pilot wave theory, things tend to travel like this?:
(Credit: Looking Glass Universe)
and in other interpretations, it seems that there can be infinite many travel paths between measurements?
Did the measurements of speed of light take into account that things don't travel in straight paths?
In experiments measuring the speed of light, there is no need to consider any paths other than the straight one between the source and the detector.
Photons can be considered (at least according to the Feynman path integral approach) to be taking other paths (including crazy ones that go off to the Andromeda galaxy and back, faster than the speed of light), but such paths have a negligible effect on the propagation of light over macroscopic distances. The probability amplitudes of all the crazy paths tend to cancel, leaving only the contribution of the classical path.
Quantum physics is weird, but fortunately classical physics emerges from it in the macroscopic realm.
