Intuition is the part of your knowledge that you cannot test for correctness. Proving correctness requires deriving a very low dimensional representation, so you can apply analytic operators. Most of the functions that a brain approximates cannot be translated into that form.
Newtonian mechanics are outside of our experience too, but the intuitive model is easier to derive than the intuitive model of QM.
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I agree. But who has an intuitive model of QM? Richard Feynman who was a master of creating intuitive explanations famously said "nobody understands quantum mechanics".
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A lot of people do. I recommend starting with reading "Quantum Mechanics, the theoretical minimum" and Aaronson's "Quantum Computing since Democritus" to build your intuitions. You need to cut through the formal language to build geometric and graph theoretic intuitions.
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