This is Part III of a three part series on the Nature of Fractals. Readers can view the first two installments here: Part I and Part II.

In the previous part of this series, I introduced the thought that quantum mechanics are related to fractals. That combination further implies the idea that quantum objects represent the combination of spirit and matter, which themselves exhibit fractal properties.

The Hebrew Letter Kaf

A concept alluding to a transition akin to that seen in quantum mechanics can be found in mystic  interpretations of the Hebrew alphabet. The word “kaf” is made up of two symbols from the first letters of two other words – koach, meaning potential, and poel: “…suggesting that Kaf enables the latent power of the spiritual (the potential) to be made actual in the physical…”1  The symbol kaf represents a palm with a Yod in its middle where potential becomes reality and hearkens back to the concept of a quantum object collapsing into its matter form.

The combination of spirit and matter (see featured image) further suggests a direct link between Humanity and God. Our very thoughts may be thought of as quantum objects and underlie our reality, bringing into existence that which we interact with on a daily basis.

Imagine a being, a being so advanced and evolved, that he is One with the Word – he is indistinguishable from the Word. His thoughts are very special – they appear in his mind as quantum mechanical potential energy and take on a life of their own. Within the thought, there is Life – spirit and matter combine to form consciousness, one facet of the being as described in the dual-aspect theory.

In this manner, Sungsang and Hyungsang interact and form a human being. The thoughts or beings exist in the Universe of his mind, evolving themselves until they have each “had their due” and dissolve into nothingness. In this manner, each thought works to merge with the Word – thus further purifying the being. Thoughts beget thoughts of their own. which become fractal tessellations perpetuated throughout eternity. Fractals are left behind throughout the infinite hierarchy as evidence of the being’s work. At the End of Time, the being himself dissolves into nothing, a passing thought in a greater being’s mind.

Along similar lines, both the Bible and Mormonism support beliefs that are consistent with the previous paragraph. In the Bible we read in Romans (8:16-17):

“The Spirit itself beareth witness with our spirit, that we are the children of God and if children, then heirs; heirs of God, and joint-heirs with Christ; if so be that we suffer with him, that we may be also glorified together.”

In the Mormon faith, it is the belief that each individual can progress to the point to inheriting a universe of their own. 

“…Each one of you has it within the realm of his possibility to develop a kingdom over which you will preside as its king and god. You will  need to develop yourself and grow in ability and power and worthiness, to govern such a world with all of its people.”2

Lorentz Attractor

From a different perspective, fractal mathematics are a representation of chaos. “Fractals are related to chaos because they are complex systems that have definite properties.”3 It was discovered that there is indeed a pattern to chaotic systems. Using a number of different initial points for a given chaotic system and running the system for quite some time (a chore perfectly suited to automation), they all eventually resolve into a two-dimensional projection of a butterfly shape called the Lorentz Attractor. 4

When one thinks about the Earth and the moon revolving around each other due to gravitational attraction, the Earth is an attractor for the moon. In chaos theory, the “orbital” patterns seen in the butterfly shape seem to form orbits around what are called “strange attractors.” The butterfly shape is described in terms of fractal dimensions, which means that the shape’s dimensionality is not an integer (2-D, 3-D, etc.), but a fraction between two integers.

“…So, a fractal image is a visual representation of a strange attractor (or fractal space) that defines the orbit of a deterministic system that behaves chaotically…”5

So when we consider that fractals represent a form of order ubiquitous throughout Nature, it can be seen that they are indeed the embodiment of Ordo ab Chao – Order out of Chaos.

1 The Letter Kaf/Khaf, n.d.

2 “. . . the Matter of Marriage” [address delivered at University of Utah Institute of Religion, 22 Oct. 1976])  (Will Exalted Mormons Get Their Own Spirit Children and Worlds?, n.d.

3 Blumenthal, n.d.

4 Chaos VII : Strange Attractors, n.d.

5 Wrigley, 2017.