If, at the quantum level, we can represent particles either in position or in momentum space, why do we humans see the World of positions and not that of momenta? We see movement as change of position, not position as change of momentum.

So far the best answers revolve around interactions between particles being described as powers of fields in position space. As in f(x)^3, etc.

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@BartoszMilewski I know @seanmcarroll has talked about space as an emergent phenomenon that starts with underlying Hilbert space and then what we think of as spatial degrees of freedom are simply those variables in which interaction is "local" in the emergent dynamics. So that's sort of turning it around the other direction.

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