If my limited knowledge of this field is correct, then the majority of the field is based on predicting the chance of a certain subatomic particle at one point in time.
Maybe the reason it is hard to find the path of these particles is because they constantly slip in an out of 3d. Maybe they are following some strange orbit that requires them to travel in a mixture of four perpendicular directions.
Think about it. Imagine Bob playing tetherball, except the ball had to keep travelling through Fred's world. Fred would see a circle randomly appearing and disappearing in his world, and he wouldn't be able to do anything but guess at where it appeared next.
If this is true in fact, then in the fourth dimension, quantum physics may not even be needed to explain something. But those poor bionians. It may apply to much larger things, and they probably can predict a lot less about their world.