Though it is inspired by experiment (in particular, by observations that cannot be explained by classical physics alone) the basic process is mathematical.
It should be metioned that this is primarily a physical issue and not a mathematical issue.
My interpretation of the question is that any object, considered a mass, can not exist (simultaneously) in different places at the same time. Any object at any moment in time only exists at one position. When there are different positions involved the object has moved.
This is true in classical sense, with large objects, as in quantum sense, with small objects.
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