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The cube theory is an incomplete theory, however it attempts to explain the universal expansion factor, time travel and almost every aspect of current astro-physical research. Through intrapolation of higher dimensions and their properties it seeks to create an accurate model of the universe. The name is somewhat untruthful due to the fact that the theory actually revolves around a four-dimensional sphere.
My explanation will start with basic dimensional properties. A one dimensional object (line) can be defined by two points, because for any two points their is a line that exists through them. A two dimentional object can be defined by three points that are not colinear (a plain). A three dimensional object (a space) can be defined by four points that are not coplanar.
The definition of a sphere is also key to this theory; A sphere is the set of all points equidistant from another point. Usually a sphere is thought of as a ball-like object however in a universe with fewer dimensions the typical idea of a sphere is untrue. In a one dimentional universe a sphere, according to the definition above, would be the two points equidistant from another point on the line. In a plane a sphere would be a circle, and in a space a sphere would be what we would traditionaly think of it. The question we are attempting to answere however is; What are the properties of a four dimentional sphere?
We know by induction that the surface of this "object" is going to be a space. This space would go on infinatly in every direction. However, just like on the suface of a sphere, if you continue in a straight line you will eventually return to the point where you begain. Thus, the infinite size of this object would be an illusion.