(The following is an excerpt from Chapter Two of the book Christianity from a Different Perspective)
When concept of scale as a spacial dimension is introduced, the mathematical property of infinity could exist in nature. Infinity exists in two ways mathematically – as an increasingly larger series of whole numbers and as an increasingly smaller series of fractions. In three dimensions, infinity cannot exist in nature because it violates the physics law of the conservation of matter and energy. A perpetual source of new matter cannot exist.
The fourth dimension, however, introduces a new property – looping. If you look at a tesseract, the fourth dimensional analog for a cube, you see that its edges expand outwards in a loop and then return back to the original point. In four spacial dimensions, it is therefore possible that infinity could be a loop and that its outermost points join together in a fourth spacial dimension.
In nature, the property of scale, the movement at a point in space from the sub-atomic to the celestial, could potentially mimic the properties of infinity, but could it loop? There are two indications that this might be possible: 1) The strength of gravity is similar at these two extremes, and 2) Similar structures are predicted to exist at each extreme as well.
Regarding structures, String Theory predicts that a quantum foam-like mass of tiny vibrating loops exists at the very smallest scale of existence. If scale is a looping dimension, then these tiny vibrating loops could be galaxies and the “quantum foam” at the micro-scale could be the “cosmic foam” of galaxies that the Planck Millennium and Bolshoi cosmological simulations predict to exist at the macro-scale.
If this were true, then how would the loop occur? The answer, black holes! Black holes are known for their ability to disintegrate matter, and white holes, their theorized opposite, could serve to redeposit atomic scale matter (as cosmic rays?) back into the universe. If black and white holes serve as an intra-dimensional matter recycling facility, then the fourth dimensional scale loop would be complete and infinity could exist in nature. For a more detailed description of this proposition, and illustrations, see Chapter Two in the second edition of the book, Christianity from a Different Perspective.