Continuous Hierarchy revisited

What seems to make hierarchies continuous is movement in space and time. Perhaps movement or fluidity is what makes particles look like waves. The question remains whether motion is a continuous, discrete continuous or discrete thing. All my intuition leads me to believe it is discrete continuous in space (discreteness occurs during collisions) and continuous in time. If we discuss collisions in time, we talk about scheduling. Perhaps the universe is running on a scheduler. Two things can't exist in the same spot--can two things exist at the same time? If a single particle exists in a vacuum, will it vibrate? Is there something about a vacuum that makes it vibrate?