It’s quite possible that space itself, never mind position, is itself an artifact of particle interaction to begin with, which boils down to ‘simple’ arithmetic. 
Cole Fury’s stuff is heady, in this talk she gives us her “best guess” as to “What is the universe made of? How does it work?” (answer: “It’s all math”.) I freely admit I don’t get it, but it uses some things that are right on the edge of stuff I deal with, so it intrigues me.
