I mean, your post posits a logical possibility but merely posing the possibility does not make it likely (like your post seems to imply). Also, a dimension has

I mean, your post posits a logical possibility but merely posing the possibility does not make it likely (like your post seems to imply). Also, a dimension has some degree of continuity or, at least, regular discrete nature that I'm not sure your idea for the 5th dimension really fits naturally. Surely, we can relate to positions in your concept of a dimension, but does a relation require a dimension? I'm not sure. Maybe it does. Maybe my above thoughts are all locked in the concept of a euclidean geometry. My topology studies were always in the context of function spaces, so it was a bit too abstract to think about it this way.