The Nature of Fractals – Part III: Our Chaotic Reality

The Nature of Fractals – Part III: Our Chaotic Reality

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.

Whence Came You? Recent Scientific Challenges To The Big Bang Theory

Whence Came You? Recent Scientific Challenges To The Big Bang Theory

From time immemorial, the thinking man has pondered the origins of the Universe and his role in the cosmos. Scientists in the early 20th century brought forth The Big Bang Theory to explain the creation of the Universe. Recent scientific research, however, provides compelling evidence that the age of the Universe could be infinite. Was there a singular starting point of the Universe? What if the Universe has existed forever?

Understanding The Big Bang Theory

The Big Bang Theory postulates that our Universe did have a definite beginning. Prior to that, there was nothing. After that moment, there was something: our Universe. According to this theory, our Universe came into existence as a “singularity” approximately 13.7 billion years ago.

Singularities are thought to exist at the core of black holes, which are areas of intense gravitational pressure. The pressure inside a black hole is thought to be so intense that finite matter is actually smashed into infinite density. The Big Bang Theory argues that our known Universe began as an infinitely small, hot and dense singularity.

This is an illustration showing the cosmic epochs of the Universe.Then there was an explosion at which time the singularity inflated and then cooled. The Universe changed over millions of years from something tiny and very hot to the Universe’s current size and temperature. And the Universe has continued to expand and cool throughout history.  Thus, the Big Bang Theory provided a scientifically-based explanation of what happened at the very beginning of our universe continuing until our current time.  

Evidence for The Big Bang Theory

In the 1920s, Edwin Hubble studied distant spirals in the deep skies, measuring the individual stars within the spirals and HubbleandTelescopedetermining the brightness of each star. By combining these measurements with their movement and brightness, Hubble deduced that the Universe was expanding from a once compacted state.

If the Universe was smaller and denser in the past, The Big Bang Theory argues that the Universe expanded from a smaller state to reach its current point. In the 1940s George Gamow added to the theory by postulating that if the Universe was smaller it must also have been hotter. Defined by its wavelength, radiation’s energy and temperature stretch as the fabric of space expands. Thus, if the Universe were smaller, radiation wavelengths were condensed and created a higher temperature.

Extrapolating backwards, there is a point reached when radiation becomes too energetic to form neutral atoms. In the 1960s, Arno Penzias and Robert Woodrow Wilson experimented with the Holmdel Horn Antenna, built to detect radio waves bounced off Echo balloon satellites. When Penzias and Wilson reduced their data, they discovered a persistent low, steady and mysterious noise. Certain that the radiation they detected on a wavelength of 7.35 centimeters did not come from the Earth, the Sun, or the Milky Way Galaxy, they eventually postulated that it was the radiation left over from an explosion that filled the Universe at the beginning of its existence. They termed this remanent energy, Cosmic Microwave Background Radiation. Their work helped to cement the wide-scale acceptance of The Big Bang Theory.

Recent Scientific Challenges to The Big Bang Theory

Modern scientific research demonstrates compelling evidence against the concept of a singularity as the beginning of the Universe. Astrophysicist Ethan Siegel argues that instead of the singularity point, the Universe transitioned from a prior state, not filled with matter, antimatter, radiation, neutrinos, etc. Undergoing a period of Cosmic Inflation, this pre-Universe was filled with a form of energy inherent to space itself and expanded slowly without a change in energy or temperature. In the phase of Cosmic Inflation, there was an exponential expansion that stretched the Universe flat and wiped out any ultra-massive relic particles and topological defects. Ending approximately 13.8 billion years ago, Cosmic Inflation set up the conditions that lead to a Big Bang event, thus creating our known observable Universe. This theory adds the fascinating possibility that we may be living in a multiverse and our observable Universe is just one of many Universes.

In February of 2015, two physicists, Ahmed Farag Ali, Professor at Benha University in Egypt, and Saurya Das, Professor at University of Lethbridge in Alberta, Canada, pub440px-CMB_Timeline300_no_WMAPlished “Cosmology from Quantum Potential.” Their work proposes a “corrected” version of Einstein’s Theory of General Relativity and demonstrates inaccuracies in the current Big Bang Theory.  In the new formulation, the Universe did not originate from an infinitely dense singularity. In fact, the “theory suggests that the age of the universe could be infinite” according to the study co-author Saurya Das.

Moreover, Das and Ali’s research utilized Bohemian Mechanics to reconcile two of the most dominant theories in physics, Quantum Mechanics and General Relativity. Using this form of quantum theory, the researchers calculated a small correction term that could be included in Einstein’s Theory of General Relativity. In the new formulation, there is no zero-point singularity, and the Universe is infinitely old.

Destroying Ignorance

The Masonic Philosophical Society was established with the primary ambition to destroy ignorance. Which begs the question, “What is ignorance?” Perhaps ignorance is accepting what others tell you or what you have been taught without qucosmologyestioning. Instead of blindly accepting a concept like The Big Bang Theory as fact, Masonry teaches an individual to question why we believe something, to do our own research, and to consider other points of view. By questioning our preconceived notions, we open new doors of insight into how our world works and our role in the cosmos.