Take a smaller example: weather on Earth. There are a LOT of particles, but still classically simulatable. Chaos ensures that we still cannot know all future states of the weather. This is a remarkable truth, and one should give it time to sink in.
Note that quantum modelling those effects go as O(a^N). If you want to hand-wave away exponential computational cost, then I cry foul: the details matter, and I posit that you cannot build a computer that is more powerful than the universe itself.
Note that quantum modelling those effects go as O(a^N). If you want to hand-wave away exponential computational cost, then I cry foul: the details matter, and I posit that you cannot build a computer that is more powerful than the universe itself.