The Universe as a whole
Imagine yourself watching the Universe from without
You will find that to the Universe the rock has not changed position
Yes, but you are forgetting everything in the Universe is changing position (is in motion), and that your experience of duration is directly attributable to motions of at least your bodily functions including brain waves. Even if we alter your scenario and say the Universe and everything in it including photons stopped moving, you as the observer experiencing/counting time, is where the time reference is attributed and that is due to motion you experience. If we examine a Universe void of any motion (macro and micro) then it is stopped in time too. How would anyone or anything completely void of motion account for any time or change (motion) when there was none (note we wouldn't even be able to observe such a Universe because photons would stop moving in that imagined example)?