posted on May, 11 2003 @ 03:24 AM
Imagine a plane (2 dimensional space). Imagine in this plane lives 2 dimensional creatures, all they have is a X-Axis and a Y-Axis (in our space we
have an X, Y , and Z axis). In short these creatures have only length and breadth, they have no thickness. The intersection of our thrid dimension Z
axis with the plane of their existence would only be a point. These creatures would not be able to visualize a third dimension since they have only
two axis of orientation. In a two dimensional system, each and every point in that system can be defined by setting up a coordinate system of two
axis which intersect at right angles (X,Y coordinates). In a three dimensional system, each and every point in that system can be defined by setting
up a coordinate system of three axis which intersect at right angles (X,Y,Z coordinates). The creatures of our imaginary two dimensional universe
cannot visually conceive of a third dimension because the third dimensional axis would extend outside the plane of their dimension.
Now imagine our two dimensional creatures' universe was mapped on a surface of a sphere. There existence is confined soley to the surface of that
sphere. Their two dimensional universe is not curved in a third dimension. They cannot visualize a third dimension but can infer its physical
existence by certain effects in their universe. One is the expansion of their universe (like a ballon being blown up). Another effect would be that
if they traveled in one direction long enough they would return to their starting point. (I only assuming a "closed universe".) By the same token
we exist in a three dimensional universe that is curved in the fourth dimension. We cannot visualize this, but can mathematically infer the
properties of this universe with N-dimensional geometry. Like the creatures in our imaginary two dimensional sphere universe, if we were to travel
in a space ship in one direction long enough, we would return to our starting point. Curvature of the universe in the fourth dimension is the only
explanation of the expansion of the universe discovered by Hubble. The question now is the universe open or closed. I think now the current theory
is that we live in a closed universe because of the amount of dark matter.