What is geometry that is not classical? Also, what specific quantum things do you find conceptually problematic? I’m guessing entanglement is one of them
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Here’s an alternative perspective: instead of trying to fit explanations into an intuitive framework, you can start with a set of axioms (regardless of intuition) and try to explain the world. The theory with the least number of axioms and most accurate description “wins”
Which happens to be QM. The next step would be matching concepts from the theory to human concepts, the extent to which that works is debatable.
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I can be sold on QFT. QM is statistics as axioms and that's a harder sell.
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I don’t see any difference in the concepts involved. It’s just where you start classically: Point particle mechanics -> (traditional, single particle) QM Field theory -> QFT
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