It is my belief that there is no reason to believe that elementary particles are ever point-like objects with momentum and location. They are fuzzy objects tha

It is my belief that there is no reason to believe that elementary particles are ever point-like objects with momentum and location. They are fuzzy objects that always evolve in time according to wave equation. It's just that in case of very narrow, sharp waves they equation simplifies to Newtonian (or special relativity) equation of motion. Measurement is just exchange of momentum and energy between that fuzzy objects that happens very quickly and in quantized amount and the equations governing it simplify for narrow, sharp waves to equations of two balls bouncing of each other. Our intuitions developed for macroscopic objects which are a very peculiar form of matter, tightly bound by interactions, which make the constituent elementary particles very sharp and narrow all the time. They are just wrong for anything else. Newtonian mechanics is attractive because it's simple but it's equivalent of gas laws, that while very simple, only statistically capture the complexities of what actually happens in ideal gas and don't reflect nothing physically real.