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Ah I see the argument you're trying to make, but chaos theory just talks about the large scale unpredictably caused by unknown small scale variables. If we knew all the variables then it might no longer appear chaotic.chaos theory
BUT there is Heisenberg's uncertainty principle, that would have been the better physics idea to bring up. But quantum uncertainty might only apply to observers inside a system tho. A view from outside might lead us to believe in deterministic interpretations of quantum mechanics like Pilot Wave theory.