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Full Idea
If there are such things as points in space, independently of any other object, then these points are by definition stationary (since to be stationary is to stay in the same place, and a point is a place).
Gist of Idea
If spatial points exist, then they must be stationary, by definition
Source
Robin Le Poidevin (Travels in Four Dimensions [2003], 03 'Search')
Book Ref
Le Poidevin,Robin: 'Travels in Four Dimensions' [OUP 2003], p.45
A Reaction
So what happens if the whole universe moves ten metres to the left? Is the universe defined by the objects in it (which vary), or by the space that contains them? Why can't a location move, even if that is by definition undetectable?