Tuning fork is mechanical, space dimensions only.
Fullerenes exhibit superposition because their structure corresponds to a subatomic composition at very precise conditions. When that happens, it's easier for everything if they interfere with each other than if they take classical ballistic paths.
The many worlds interpretation means a particle, something like discrete ticks on a thermometer per frequency of emitted light, has part of it that's unreachable. It can move in a way that cuts off all further interaction. It's more anthropic than mystic.
Conjecture that superposition spills over to mechanical properties does not provide any further insight on why things do what they do. The holographic principle makes more sense. Things have to have a delay of interaction to be truly independent. Because of that delay, discrete internal configuration shows up as intrinsic gestalt properties.