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DO NOT USE THIS TAG just because your question involves measurements (either quantum or classical). The measurement problem asks how wave function collapse occurs during measurement in quantum mechanics, and how it can be reconciled with unitary evolution.
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How can things be chaotic on a quantum level, yet tangible on a classical level?
You ask:
How can things with no position make up something with a position?
That's a misunderstanding of the model. The particles are in all possible positions at the same time. Observation coll …