Perhaps the tower is built upon our emotional and instinctual demand for certainty and security? One could argue the whole tower of turtles paradox is a human-centric frustration. Does nature care? I dont think so. If numbers are universal, even a simple infinite set of numbers, may be representative of nature's own tower of turtles.

And if nature insists on turtles all the way down for some components of the universe it doesnt mean everything is turtles all the way down. Perhaps the HUP is the closest we can get to certainty from a predictive perspective. If that is so then what is wrong with it? I cant see what the big hoo-ha is about that. Quantum mechanics is said to be the most proven and unfalsified physcial theory we have. Maybe i heard wrong.

However the old argument "if we knew all intial conditions" is pretty non-sensical if that is considered some sort of proof of an ultimately determinstic universe. HUP is clearly telling us we can not know..for whatever reasons. WE cant even properly solve the n body problem, so the premise we can predict future physcial configurations in the universe based solely on a conditional IF statement is pretty laughable. We are good at comedy though :-)