We can interpret the universe infinite n-dimensional as, for example, a cube, ball, or sphere. Here, the maximum extent can be finite, since an infinite subdivision is possible. The cube best reflects the homogeneity, the ball or the sphere does the uniform extension in each direction, without distinguishing certain directions from each other. Homogeneity and curvature need not be measurable.
The n dimensions cannot only include the space, but all finitely or infinitely scaled substances (see Reference Theory), so in particular the time. God can arrange the universe very differently. On a ball, for example, the simplest worlds may lie around the South Pole, and the most complex ones around the North Pole. By way of illustration, a suitable generalisation of the Riemann number sphere may serve.
We may be able to determine the size of the radius in our world, but not in general. Smallest units of a substance like the Planck units may not exist in some world. The concept of infinity is not fixed on time, but can be extended to any (measurable) substance via the concepts of unity and scale. However, the successive measuring of a unit on a scale predestines the concept of time.
Spatial points may not have any form or extension, so they can be pushed together at will. They are nevertheless something and may have gaps with nothing in between. It is our intuition that can fill in the intervening and give it expansion. The same applies to all other substances: Different laws or (lawless) freedoms may be applied to the same substances.
Their assignments to us result in different experience or parallel worlds for us. This leads to a so-called penetration model. It is important that God makes the (nature) laws appropriate.
This is especially true for chaotic or highly inhomogeneous worlds and those with multiple timelines. References help to overcome endless distances. Every creature has deserved a world in the universe according to its karma.
© 2009-2019 by Boris Haase