Moving
Let A and C be two distinct objects such that C exists at a later time and a different place than A. Let F be the mereological fusion of A and C. Question: Does F move from the location of A to the location of C? I don't think so. If a thing moves from one location to another, there should be a continuous path from the one location to the other along which the thing moves.
So let B1, B2, ... be (continuum many) further objects (perhaps spacetime points, if nothing else is around) that lie on a continuous spacetime path between A and C, and let F be the fusion of A, B1, B2, ..., C. Does F now move? I'm not sure. Maybe when a thing moves the later stages should depend causally on the earlier stages. Or maybe the concept of movement is not applicable to gerrymandered fusions like F.
Interestingly, nothing prevents us from choosing A, B1, B2, ..., C in such a way that the spatial distance between A and C in light-years is greater than the temporal distance in years. Then F "moves" faster than light. Doesn't physics prevent this? I don't see how it could. Clearly, objects like F are not the kind of objects physics talks about. I would like to know how the physical objects can be distinguished. Does physics rely on some kind of naturalness here? Or does it require causal connections between stages of an object? But couldn't there be a primitive law that connects the different objects in the chain such that the causal connection is there? Would there then be an object traveling faster than light? Or does physics simply say that only those things count as objects whose world-line is time-like, that is those that travel slower than light?
There's something to be said for this ruling. For if F "moves" faster than light then there is a reference frame in which A and C exist simultaneously. But surely we wouldn't say that the fusion of two things that exist at exactly the same time moves from one to the other. Well, maybe whether something moves or not depends on the chosen reference frame?