[illini1]

It has to do with the wave-particle duality of matter. As you more finely attempt to measure the momentum (a more fundamental measurement compared to kinetic energy) and its location, you run into the wave-like nature of matter. It becomes more of a distribution rather than a point measurement. I won’t attempt to show the mathematics behind this, I’ll leave that for a physicist or mathematician.

[incompatible]

There was an article posted here recently that argued quite well for the wave-only view, avoiding the wave-particle duality by accepting that particles don't exist:

https://news.ycombinator.com/item?id=33937900