- #51

- 2,081

- 104

Your example while good on the 4 dimensions, lacks further explanation in regards to a finite, flat geometry. Take that piece of paper you just described and fold it into a Klein bottle. Now it has no edge.

http://www.math.osu.edu/~fiedorowicz.1/math655/Klein2.html

there are other possible flat shapes that do not have an edge.

torus

Moebius strip. are two other examples.

images and write up on universe geometry is discussed here.

http://abyss.uoregon.edu/~js/cosmo/lectures/lec15.html

as far as the universe being more than 4 dimensions is a string theory view point. Unfortunately string theory does not have a lot of successes. Its still a relatively new theory though.