Say you have a fairly massive particle with a defined position given by constant interaction with beams that come in all directions. If you descrease the beam's intensity then you'd be able to get to a point where the particle is given enough energy to make discrete leaps while keeping it's "shape" because of the interactions. The particle should vanish and reappear in different spots like if it were a pixel moving through a grid.

>Where does the particle go in the few moments it takes for it to rematerialize?