I've been looking again at the link in the OP, the following quote leads to a train of thought which I seem unable to get beyond.
“In other words, the universe is a straight line that is “wrapped up” in such a way so that it appears (3 + 1)-dimensional at today’s higher energy scales, which is what we see”.
A 3D object has extension in 3 directions, at right angles to one another.
A 1D object has extension in 1 direction and zero extension in any other direction.
If you fold a 1D object in two it has extension in its original direction, but its extension in the second direction is 0 X 0 = 0.
However you “wrap up” your 1D object you cannot do more than multiply zero by zero in any other direction.
Your 1D object will never have more than one dimension.
Bill, as I said before, your interpretation is easier to cope with, but you say “But of course the 2 + 1 volume is zero, so I'm not sure how you would calculate it” which raises the same problem. How do you get from zero volume to a positive volume?
