Q: Does quantum mechanics really say that there’s some probability that objects will suddenly start moving or that things can suddenly “shift” to the other side of the universe?
The Heisenberg Uncertainty Principle is a statement about how “certain” some combinations of quantities can be. Schrödinger’s equation was a massive break through and provided a lot of insight into a lot of problems. Similarly, Schrödinger’s equation is remarkably accurate in most day-to-day, electron-shell type calculations, but makes big mistakes when relativity needs to be taken into account. Long story short, even when considering the Uncertainty Principle, nothing can ever end up someplace else that would normally require faster than light travel. As for books suddenly jumping off of shelves; the universe according to the laws of quantum mechanics is a seriously weird place.