What if the belief that the golden ratio is a foundational building block of the universe turned out to be true? Long thought to be the fodder of mystics and cranks, it now appears that once was thought to be myth may in fact be at the center of the math that defines reality as we know it.

Quantum Gravity Research (QGR) is a research organization which states its mission as:

“*QGR’s mission is to discover the geometric first-principles unification of space, time, matter, energy, information and consciousness. Our team of physicists, mathematicians and chemists are hard at work on what we call “emergence theory,” a new quantum gravity theory (or “Theory of Everything”) that unifies space, time, energy, matter, information and consciousness.*“

QGR produced a 2017 YouTube Video titled “What is Reality?” that explains how the golden ratio plays a significant part in this.

At the 20:42 mark of the video, this is explained, saying:

The golden ratio may be the fundamental constant of nature. It is a ratio that is fundamental to circumscribed equilateral triangles and it’s weirdly ubiquitous, appearing everywhere from quantum to celestial scales. Ever so interestingly, it appears in black holes.“

The golden ratio is the precise point where a black hole’s modified specific heat changes from positive to negative:“

M^{4} / J^{2} = Φ

It is part of the equation for the lower bound on black hole entropy:“

8πSl^{2P} / ekA = Φ

The golden ratio even relates the loop quantum gravity parameter to black hole entropy:”

2^{πγ} = Φ

Why does this support the claim that the golden ratio is the fundamental constant of nature? Because a theory of everything must unite general relativity with quantum mechanics, and a black hole is where these two theories converge at their limits.”

In matrix mathematics, the highest probability non-trivial eigenvalues that show up in binary matrices are Φ and -1/Φ!“

So we now see a deep root between black holes and quantum mechanics because the golden ratio appears deeply in both black hole physics and in quantum mechanics.”

The golden ratio appears to startling accuracies in many other ways throughout the universe in scales both large and small. It is so prevalent that its existence simply cannot be looked at as coincidental.”

In the past the appearance of this ratio has usually been ignored by scientists because they had no way to explain it, so interest in it was considered the stuff of amateur scientists. But now, for the first time, a rigorous quantum gravity is being developed which predicts the golden ratio’s existence is literally everywhere.”

As someone who has researched and written about the golden ratio for decades, I have to say that this is more than even I expected. As this site at www.goldennumber.net has grown, my research and articles have shown it to appear in the following areas:

- Life, from the proportions of the DNA spiral to those that define the human face.
- Beauty, including human perceptions of beauty in the human face and in the aesthetics of harmony and innate natural appeal in any of the design arts, from ancient architecture to modern day logos.
- Mathematics, including many ways that it can be derived.
- Geometry, including many fascinating ways that it is found in a variety of geometric constructions.
- Cosmology and physics, including appearances in the solar system and even in the relative proportions of the Earth and Moon.
- Financial market price and timing trends, and gaming strategy.

The proposition by QGR that it is “so prevalent that its existence simply cannot be looked at as coincidental” is not surprising, but is certainly fascinating and validating.

This perhaps explains why it has captivated some of the greatest minds and best artists in history, including Plato, Euclid, Leonardo da Vinci, Michelangelo, Johannes Kepler, Georges Seurat, Le Corbusier and more.

I’d like to thank QGR for their work and discoveries in this area, and recognize and thank Scott Beach, an independent researcher and long time contributor to this site, for bringing the video by QGR to my attention.

dan winter says

looks like klee doesn’t remember our chats- our scientific publications – how golden ratio /fractality electrically CAUSES gravity

http://www.fractalfield.com/vacuumenergy

are well known- also our tech makes gravity

Hans Hermann Otto says

Two fundamental numbers pi and phi = 0.6180339887 are connected with the architecture of the Great Pyramid at Giza. Its in-sphere volume to polyhedron volume is pi * fifth power of phi.

The fifth power of phi, on the other hand, describes phase transitions from microscopic to cosmic scale.

Gary B Meisner says

Thanks! See also my article on pi and phi in the Great Pyramid at https://www.goldennumber.net/phi-pi-great-pyramid-egypt/.

J Cook says

I arrived at very nearly the same conclusion via a Biblical route about 15 years ago. Matthew 16:18 is already a pivotal verse that describes the origin of the church and matches phi numerically to boot. It describes how Simon is renamed to Peter, a word which had never before been used as a man’s name. That word begins with the 16th letter of the alphabet and ends with the 18th. If you overlay the English alphabet over the popular AB-BC-AC phi construction diagram, you will see that the letter P occurs in a position that describes the phi formation. In a very similar sense, the Egyptians used pi and phi together to build the Great Pyramid in a way that allowed them describe the Earth with flat planes in a way that could only be done with two such irrational numbers. To them, pi and phi were akin to a greatly simplified statement of life-force. There are a number of alpha-numeric-symbolic precedents in the Old Testament and Hebrew language that give this “process” added validity, but the core lesson is that God is/was numerical and mathematical and that religion and science aren’t the enemies that many think they are. Our universe was “designed” …no question about it!

Ramzi Suleiman says

You are right in pointing out that the Golden Ratio is a fundamental number of the physical world. However, I disagree with the statement that the Black hole is Quantum field theory (QFT) and General Relativity (GR) combine. In fact, in the interior of black, holes GR collapses completely. Moreover, it is well accepted that the unification attempts between QFT and GR are no more than a theoretical playground, with none of the proposed theories capable of producing testable predictions, and more importantly, of answering the big questions of cosmology: Dark matter and Dark energy.

I invite you to look at my Information Relativity theory and see how it solves the above-mentioned mysteries. As for the Golden Ratio: it emerges in the theory mathematically, without any assumptions. At cosmological scales, the theory predicts that maximal energy density in the universe is achieved at redshift equaling φ +1, where φ =(√5-1)/2≈ 0.618. At quantum scales the theory shows that matter undergoes a critical quantum transition at velocity β = φ. In both cases the maximal energy density is proportional to φ^5 ≈ 0.09016994, which equals to the eighth decimal digit, Hardy’s maximum probability of obtaining an event that contradicts local realism.

Those who are interested to see how a theory of everything looks like are welcome to browse in the following paper:

Suleiman, R. Unity instead of unification: A local-realistic alternative to quantum gravity

May 2020

DOI: 10.13140/RG.2.2.22679.60329