Maybe there is no clock, maybe it is simultaneously acting as both particle and wave. Maybe this demonstrates other dimensions of space time, parallel dimensions...reminds me of the paradox that light has velocity but no acceleration.
walks away humming "Synchronicity"
"time" is over running matter waves(half of your physical existence), ie, deceleration and weight(W>P).
Interesting. I think of it as guitar strings close together, or when hitting a key next to a piano chord and transmiting the same frequency over. There actualy is no acceleration of the wave indeed, no matter how fast one would travel inside the chord or along it.