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".
Physically, momentum is information disparity in space. Mathematically, it is the first derivative of trajectory. Cognitively, it is the parameterization of an operator that describes the change in position of an object in adjacent world states.
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These are physics definitions based on macro continuum spacetime. We then have to project out a sampling process for cognitive representation, which is discrete.
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Below the level of a somewhat continuous locally flat lattice, the notion of momentum falls apart, just as temperature falls apart when you focus on individual molecules.
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