The universe can be regarded both as infinite n-dimensional cube, as well - isomorphic defined to it - as the n-dimensional sphere one obtains if one erects in the central point of the cube in a further dimension a line of length 2 as the diameter of a unit sphere with shifted central point and projects all points of the cube uniquely into the boundary of this sphere by calculating the respective intersection points on the connecting line between cube points and the end point of the erected line - the North Pole - with the spherical boundary. Thus, the sphere has indeed finite extent and each point can be reached in finite time, but the spherical boundary contains infinitely many points that lie closest to the North Pole.

The n dimensions include not only the space, but all scaled substances (see reference theory), thus in particular the time. The beginning of the universe lies in the central point of the cube; that is diametrically opposed to the North Pole at the South Pole. If one assumes a beginning of time, the negative half-axis resp. its equivalent in the spherical boundary is missing. Around the South Pole are the simplest worlds, around the North Pole the most complex ones. With all these considerations, we should remember that L is not bound to any model of the universe, but each model helps us to understand the universe better and has its advantages and disadvantages. Its possible homogeneity speaks for the cube model, the finite reachability of each substance point for the sphere model.

However, we cannot prove how big the radius of the universe at all is, but only of our one, since we would need to know the coordinates that go beyond the three-dimensional space, as follows from the n-dimensional sphere equation. Time and space intervals on the unit sphere become shorter and shorter with time. This can be counteracted with the expansion of time and space.

The length of small distances can only be measured as larger than the smallest distance, if its total length makes up a smaller number of these distances than the number concerning the length measured with the smallest distance as standard, which is less than or equal to the total length. It is therefore definitely possible that a reduction towards the North Pole cannot be measured.

With every expansion of the universe from the potential of L, the existing worlds slip towards the South Pole. At the North Pole, the residence of L, the worlds are replenished from the new world level. It was tacitly assumed that no dimension is distinguished from another one, and deformations of the unit sphere or cube are implausible and unnecessary. For, an (almost) arbitrary possibility of shaping the worlds in the universe remains unaffected. Nevertheless, each world is strictly to investigate and to define by L, before it is released.

Mind that points in space have neither form nor extension, so one can push them together, arbitrarily close. They are still something and may have distances with nothing in between. It is our conception that can fill in the between, and provides extension. The faster moving universe makes sense and is wanted by L. Skipping intervals can counteract a too-fast. Analogous applies for all other substances. It is therefore important that L makes the laws of nature appropriate. This applies particularly for chaotic or strongly inhomogeneous worlds, and those with multiple time axes. It is measurable, whether a world is homogenous or not. Every creature has deserved a world in the universe according to its karma.

© 23.11.2009 by Boris Haase

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