The basic premise is to derive a necessary condition about motion in 3 dimensions. Namely:
Given two spatially separated regions in 3D space (A and B), for any object/system to move from either A to B or vice versa, it must travel through the region C (which is defined as not A or B). More technically, that for any line connecting A and B there must be a point in C.
That should be fairly uncontroversial, I believe.
This allows us to determine that, in quantum experiments, the quantum system (if it is moving in 3 dimensions) must travel a well-defined path from the the preparation device to the measurement apparatus. Any interpretation which fails to specify the path taken is, by necessity, an incomplete 3D model of the experiment. Or, in the words of EPR, an incomplete description of ‘the physical reality’ – where ‘physical reality’ refers to the physical experimental set-up as opposed to the mathematical model.
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