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Reply  Message 1 of 89 on the subject 
From: BARILOCHENSE6999  (Original message) Sent: 18/07/2015 02:50
137 ~ Itzhak Bentov ~ Mystical Friend of Mine and the Swastika
“one of the good things about the system is that the system wants to teach you about itself”

The best quote in the video can be found starting @17:40

“one of the good things about the system is that the system wants to teach you about itself”

BUT what did Itzhak write in his book A Brief Tour of Higher Consciousness that he knew the mundane profane world was not ready to hear on TV?
And it reveals the work of Itzhak more profound because Itzhak was Jewish too.
He loved to meditate and this is what he ‘saw’ when meditating and it is central to his theory, his story recovered, part of the narrative recovered that effects you and me.

“This desire resulted in the process of creation, symbolized by the swastika within the creative center, representing a four-dimensional rotating universe.

It is interesting to note that if you merge your consciousness with that of the Creator, you discover within Him a rotating swastika.

In other words, swastika stands for both the Creator and the Creation – they are inseparable”

bfc added by me
Worth repeating one more time;

“one of the good things about the system is that the system wants to teach you about itself”

What kind of paradox would two opposed swastikas put onto the Emerald Round Table for discussion?


The Mystic Tower

3  Chambers
7  Levels

My Guide with his wand touched a small and hidden door in the rugged walls of the triangular Tower, which opened and admitted us, then he turned to me and said:

‘The Tower is high and it containeth seven levels, and on each level are three Chambers, and above all lieth one Chamber, and the ascent thereto is long and wearisome.’

I replied:

‘My Master, thy footsteps will I follow …’

source: The Mystic Rose from the Garden of the King

Ancient Egyptian Creation Myths

The sun rises from the mound of creation at the beginning of time.

The central circle represents the mound, and the three orange circles are the sun in different stages of its rising. At the top is the “horizon” hieroglyph with the sun appearing atop it. At either side are the goddesses of the north and south, pouring out the waters that surround the mound. The eight stick figures are the gods of the Ogdoad, hoeing the soil.

 Twenty-first Dynasty (c. 1075–945 BC)


Allow me to enter the evidence of a mystic/meditator/scientist/mediator/inventor/teacher and a guru to some.
Evidence of an IDEA that seems to be connected to the evolution of our CONSCIOUSNESS.

Another JC mystic in fact.
He was a Jewish Czech mystic.
Itzhak Bentov’s name is a recognizable name in many, many circles.
Those that knew him well simply called him Ben.

The following two images below were drawn by Ben and without a doubt the first one bears a resemblance to the above image from the Egyptian 21st dynasty on the left.

Can this be confirmed?
Does God’s name in the original Hebrew text YHWH literally mean
“He Causes to Become”

And the text that accompanies these images on pages 50-51 of Bentov’s book A BRIEF TOUR OF HIGHER CONSCIOUSNESS states the following: (highlights in red have been added by me)

“This desire resulted in the process of creation, symbolized by the swastika within the creative center, representing a four-dimensional rotating universe.

It is interesting to note that if you merge your consciousness with that of the Creator, you discover within Him a rotating swastika.

In other words, swastika stands for both the Creator and the Creation – they are inseparable”

Bentov died in 1979 in an air accident.

By no coincidence I turned 22 that year.
There are 22 letters in the Hebrew alphabet and this intuitive journey I find myself on requires I acquaint myself with the Hebrew alphabet…and the 22 chapters found in the last book of the bIbLE, Revelations and the 22 archetypes put on display as the Major Arcana in the Tarot, and the source of the Rotas Sator Magic Square is probably Hebrew/Jewish, not Christian.

“The front side of the Aleph is luminous and the back side is dark. This expresses two polarities. From the luminous side  emerges a stream of twenty-two interference patterns of Hebrew letters, in the correct order of the alphabet, hovering in space; on the black side, the twenty-two letters are in a jumbled sequence. You are puzzled and wonder what this means.

The explanation comes … ”
(refer to pages 49-54)
-Itzhak Bentov

Bentov and me together could have written Part 3 of his book entitled A Brief ‘Tour of Higher Consciousness, we arrived at virtually the same conclusions, but through different entry points.

There are no coincidences…soon that will become apparent.

Don’t forget that in the MEME game of associations based on a Law of Associations, evidence of unity is everywhere.
Evidence that time travels, it hops, skips and does quantum jumps and leaps of faith through Space and Time.

And using this Law of Associations has paid dividends in helping me conceptualize in my mInD, what cannot be put into words.
But I do try anyway, with the assistance of much imagery.
Don’t I?

If we remember, if our memory banks store data/info using images why do folks go on and on and on and on using wordy descriptions?
Why are bIbLEs today lacking images?
What happened to illuminated manuscripts?

Are images being ‘incepted’ as seeds into our fertILE minds?

Rosetta Mandala Fractal

Just recently I finally got around to associating this image that I photographed in 2006 in Peru, (a Kodak/Nikon moment that has changed my life forever) to the SQUARE or CUBE, which I am now associating with the numbers 137, placed between two GREEN pillars.

Is it because the number 137, referred to as a ‘dimensionless number’, which is associated with the two spectral lines** of a hydrogen atom,  is also placed between two lines similar to the pervading archetype of two pillars flanking an entrance.
(**spectral lines look like bar codes and reveals a unique fingerprint)

YES this association is so profound.

And right here in the HERE and NOW, I do declare, I finally realize WTF I have here.
What we have is a powerful MANDALA, it is without a doubt an archetype that we can associate with both the macro cosmic zodiac and something ‘atomic’ beyond the molecular…the ‘microcosm’.
A Model that can be applied to both the Big and the Small equally, with lessons learned with each application.

I feel what I have here, in this image, (circa 16th-18th century is a guess till I can authenticate) that I had nicknamed the ‘Rosetta Mandala Fractal’ (some time ago) is a MODEL for what befuddles the greatest mInDs today, certainly on the atomic level.

And it concerns the number 137 which the physicist has placed between two fine spectral lines.
And though I can place the CUBE between these two spectral lines, which appear as GREEN PILLARS, along with the number 137, the next step is placing a tetrahedron with a 137 sphere packing inside the CUBE.

Please note in this demonstration re: the evolution of the MiNd that the cutting edge of humanity is usually considered crazy.
The video gets interesting around 5 minutes.

Itzak’s demonstration in this video clearly illustrates why genius/crazy share the same space on the evolutionary curve, a convergence that is usually found not in the peaks but in the valleys of evolution.

Itzhak, or Ben as his friends knew him, is the fella who taught ME about …

137 sphere packing

note the 137 sphere packing model in the center

The above image was taken from The Kabbalah Unveiled translated by S.L. MacGregor Mathers

38. There are three qabalistical veils of the negative existence, and in themselves they formulate the hidden ideas of the Sephiroth not yet called into being, and they are concentrated in Kether, which in this sense is the Malkuth of the hidden ideas of the Sephiroth.

I will explain this. The first veil of the negative existence is the AIN, Ain = Negativity. This word consists of three letters, which thus shadow forth the first three Sephiroth or numbers. The second veil is the AIN SVP, Ain Soph = the Limitless, This title consists of six letters, and shadows forth the idea of the first six Sephiroth or numbers. The third veil is the AIN SVP AVR, Ain Soph Aur = the Limitless Light. This again consists of nine letters, and symbolizes the first nine Sephiroth, but of course in their hidden idea only. But when we reach the number nine we cannot progress farther without returning to the unity, or the Dumber one, fur the number ten is but a repetition of unity freshly derived from the negative, as is evident from a glance at its ordinary representation in Arabic numerals, where the circle 0 represents the Negative, and the 1 the Unity. Thus, then, the limitless ocean of negative light does not proceed from a centre, for it is centreless, but it concentrates a centre, which is the number one of the manifested Sephiroth, Kether, the Crown, the First Sephira; which therefore may be said to be the Malkuth or number ten of the hidden Sephiroth. (See Plate II.). Thus, “Kether is in Malkuth, and Malkuth is in Kether.”

Or, as an alchemical author of great repute (Thomas Vaughan, better known as Eugenius Philalethes) says, apparently quoting from Proclus: “That the heaven is in the earth, but after an earthly manner; and that the earth is in the heaven, but after a heavenly manner.” But inasmuch as negative existence is a subject incapable of definition, as I have before shown, it is rather considered by the Qabalists as depending back from the number of unity than as a separate consideration therefrom; wherefore they frequently apply the same terms and epithets indiscriminately to either. Such epithets are “The Concealed of the Concealed,” “The Ancient of the Ancient Ones,” the “Most Holy Ancient One,” &c

page 16 – paragraph #38

things are getting magical

more, more, and more ‘137‘ coincidences that have piled up to become evidence of a numerical unity we fail to comprehend.


by James P. Crutchfield, J. Doyne Farmer, Norman H. Packard, and Robert S. Shaw

There is order in chaos: randomness has an underlying geometric form. Chaos imposes fundamental limits on prediction, but it also suggests causal relationships where none were previously suspected.

A good example of a dynamical system is found in the simple pendulum. All that is needed t.determine its motion are two variables: position and velocity. The state is thus a point in a plane, whose coordinates are position and velocity. Newton’s laws provide a rule, expressed mathematically as a differential equation, that describes how the state evolves. As the pendulum swings back and forth the state moves along an “orbit”, or path, in the plane. In the ideal case of a frictionless pendulum the orbit is a loop; failing that, the orbit spirals to a point as the pendulum comes to rest.


STATE SPACE is a useful concept for visualizing the behavior of a dynamical system. It is an abstract space whose coordinates are the degrees of freedom of the system’s motion. The motion of a pendulum (top), for example, is completely determined by its initial position and velocity. Its state is thus a point in a plane whose coordinates are position and velocity (bottom). As the pendulum swings hack and forth it follows an “orbit”, or path, through the state space. For an ideal, frictionless pendulum the orbit is a closed curve (bottom left); otherwise, with friction, the orbit spirals to a point (bottom right).



p.s. It is all part of the design by the master mathematician, and it is very very cool as it reveals itself to you … the inter-connectivity is full of aha and awe and aums.

I also want to point out that I believe the orientation of the swastika that Bentov shows is incorrect for the direction he has indicated…

UPDATE March 2013

However after studying the movement of the swastika on the NANO scale I AM convinced either swastika oriented to the left or right can rotate in either direction.
And the direction that Bentov is indicating is probably correct.
The direction he is suggesting is due to high frequencies.

Go to APPLICATION #6 found at this link:

Optical forces induced on a light mill motor

Optical forces induced on a light mill motor by an illumination wavelength of 810 nm and 1700 nm. At 810 nm wavelength, light impacts the outer side of the arms, inducing a counterclockwise torque on the motor. At 1700 nm, light passes through the gaps and impacts the elbow of the motor, providing a clockwise torque. (Courtesy: Zhang group)

But in the image above take a look at the shadow that the swastika casts!

Does it look like the Hebrew letter aleph?
Yes of course it does.

Now that we have acquired NANO Lightmill/Swastika insights recall what Itzhak Bentov had said earlier …

“The front side of the Aleph is luminous and the back side is dark”

“This expresses two polarities.

From the luminous side  emerges a stream of twenty-two interference patterns of Hebrew letters, in the correct order of the alphabet, hovering in space; on the black side, the twenty-two letters are in a jumbled sequence…”

Leucippus and Democritus: atomist philosophers

The complex world is created by a whirling motion of atoms separated from the void.  This motion is like an Anaxagorean or Empedoclean vortex – spinning in a centripetal and centrifugal process.  Democritus took this accepted theory of the vortex and superimposed his atomic theory onto it so that the vortex would work in terms of atoms. The atomist theory creates a new mechanistic method at ground level.  However, these theories of scientific processes (so close to modern atomic theory) were, for these philosophers, pure speculation without experiment.  Amazingly, they were searching and postulating in the darkness of speculation.

A student then asked the question:  How does Democritus explain the weight of things if atoms themselves have no weight? 

Professor Hutchinson then said that Democritus answered that question in terms of centripetal and centrifugal forces.

UPDATE April 14, 2015

April 10 at 3:02pm Dan Winter: “worked with ben in boston and in italy- notes on his planet penetrating kundalini – physics”

source of image ~ Dan Winter

I have never seen Dan Winter mention the ‘swastika’ in any of his work.
It appears his entire theory defaults to ‘phi’ and  everything golden.

But let it be noted that in the theory recovered by ME+me building on the work of others, including Dan Winter and Livio Catullo Stecchini there exist at least two axis and Rene Schwaller de Lubicz identified three in the Temple of Luxor.

2B continued …

selah V



“A theory is more impressive the greater is the simplicity of its premise, the more different are the kinds of things it relates and the more extended its range of applicability…”
-A. Einstein




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Reply  Message 75 of 89 on the subject 
From: BARILOCHENSE6999 Sent: 25/07/2016 22:47
om: Alcoseri  (Original message) Sent: 25/07/2016 14:56
Hablemos de las Tres Fuerzas que rigen el Universo. La Masonería enseña que en cada manifestación obran tres fuerzas. Estas tres fuerzas se llaman Activo, Inmóvil y Neutra. En cualquier lugar de la Creación y del Espacio-Tiempo en que estas tres fuerzas se encuentran juntas surge una manifestación o un evento. "Cada manifestación que existe en el Universo es debida al encuentro simultáneo de estas tres fuerzas-Desde luego, esta es una cosa muy difícil de entender. Como dijo Una fuerza no puede crear una manifestación, dos fuerzas no pueden crear una manifestación, pero tres fuerzas que se encuentran juntas crearán una manifestación. Pero¿Cuál es el significado que da usted a una manifestación?" Y es: El de algo que es, que tiene lugar-. Como es sabido, en la ciencia moderna a esto se lo llama un evento en el Espacio-Tiempo —no en el Tiempo ni en el Espacio, sino en el mundo llamado Espacio-Tiempo—. Y , por ejemplo, si nace un niño, es el resultado de la unión de tres fuerzas. Usted desea tener un hijo; esto es sólo una fuerza —es decir, usted desea algo—. Pero este deseo no producirá un niño. Quiero decir, no creará un niño. Ante todo, para la creación de un niño, dos fuerzas llamadas Hombre y Mujer deben unirse, pero falta algo, o, cabe decir, que una fuerza no puede crear, dos fuerzas no pueden crear, pero sólo cuando dos fuerzas, Activa y Pasiva, se unen mediante una Fuerza Neutralizante que pone en relación a las dos, la creación es posible. Es interesante reflexionar sobre este arreglo Hombre-Mujer en la vida y pensar en la Fuerza Neutralizante que interviene entre ellos. En la tríada según la enseñanza esotérica. Habrán oído decir en este Trabajo que Dios es difícil de entender porque primero Él es Uno, luego Él es Tres, y después Él es Siete. Es sabido que en el cristianismo se basa en la Trinidad de Tres Fuerzas y ello no es nada nuevo con respecto a la antigua teología. La mayoría de las personas creen que si hay algo llamado Dios, Él es enteramente creativo, siempre con voluntad de crear, pero en la Trinidad. La fuerza, según la mitología griega , fue una hija del Titán Palas, que cuando los de su raza pretendieron escalar el cielo desertó del partido de su padre y se pasó al de Júpiter, al que prestó eficaz auxilio. Entre otros trabajos que realizó fue la ayuda que prestó a Vulcano a encadenar a Prometeo. La tercera Fuerza es una de los misterios de la Orden Masónica. Se halla simbolizada en los Templos Masónicos por unas estatuas de Hércules, Minerva y Venus y por los tres ángulos del triángulo misterioso o Delta Sagrado. La Fuerza está concentrada en pueblo Masónico, que son los hijos del viuda y de Dios " que se hallan esparcidos por todo el mundo, . Las tres luces del Ara sagrada.Dios es Tres Fuerzas, una creativa, la otra preservativa, y la tercera destructiva. Ustedes deben descubrir por qué estas tres fuerzas llevan nombres de distintos dioses. Supongamos que Dios fuera puramente creativo, todo el mar y la tierra estarían repletos de peces y animales creados por Dios. ¿No ven ustedes —en cuanto nos cabe entenderlo— que debe de haber una parte de Dios que destruye para mantener a raya la obra de Dios creador? La creación de las aves, digamos, de peces, de animales, no tiene tregua. ¿No están de acuerdo? ¿No ven que esto es así? ¿Y no ven también que en el mundo natural muchos deben morir? Un arenque da nacimiento a millones de arenques por el lado creativo, pero a no ser que peces más grandes se los coman, en unos pocos años el océano sería una masa de arenques. Y la guerra, el hambre, la enfermedad y todo el resto, nos ilustran sobre el aspecto de destrucción que pone freno al número de cosas creadas. Luego, nada cuesta ver que si Dios crea, debe de haber algo que preserva su creación. Tomemos como ejemplos los frutos de la tierra —qué hermosas envolturas tienen—. Tomemos las aves que anidan —deben empeñarse mucho para preservar el nido, haciendo así posible que la fuerza creativa sea protegida—. Tomemos un niñito que va a nacer. Observen con qué belleza la naturaleza ha arreglado todo, y la Madre que está pronta para protegerlo. Creo que todos pueden vislumbrar lo que significan los tres aspectos de Dios. Estaba hablando recientemente de esta tríada representada en uno mismo dejando a un lado la creación física, al número de niños que nacen, etc. Ha de haber un opuesto, desde luego. Tomemos a una persona que se cree muy buena. Tarde o temprano se encontrará con la segunda fuerza, tal como lo hizo Job en la Biblia. Ahora bien, en cuanto a Dios, se solía decir antes en los templos masónicos que no se puede comprender las tres fuerzas a menos de estudiarlas esotéricamente . : "La ciencia conoce la creación y la destrucción pero aún no está enterada de la tercera fuerza que hace que los opuestos se interrelacionen". "Es preciso estudiar la primera fuerza, luego la segunda fuerza en uno mismo antes que se pueda ver siquiera lo que significa la tercera fuerza". Es por eso por lo que se hace tanto hincapié en el Trabajo masónico acerca de descubrir en uno mismo la segunda fuerza. Esotéricamente , al considerar esa tríada en uno se establecen diferentes relaciones consigo mismo, porque la mayoría de la gente cree que puede hacer lo que desea o que no puede hacer lo que desea. Ahora bien, cuanto más se desea una cosa, tanto más la segunda fuerza o fuerza opuesta se enfrenta contra uno. Muchas personas creen que su vida han perdido porque lo que deseaban nunca, se cumplió. Ahora bien, si una persona estudia en si misma estas tres fuerzas, creadora, preservadora y destructora, ante todo descubrirá que cada vez que es negativa es también destructiva. Cuando es negativa, no puede ver el bien en ningún ser humano. Supongamos que alguien escribe un poema, esto es ser creativo en nuestro nivel. Instantáneamente una nube de langostas, tías y tíos, dice: "Si este niño se inclina por el trabajo creador, hay que destruirlo. Debemos poner fin a esta insensatez". Si este niño tiene una tía buena que se da cuenta que ha hecho algo más que lo que comúnmente hace su familia, esta tía es preservadora. De todo esto tenemos buenos ejemplos en el mito de Hiram Abiff, en el arquitecto solía hacer un extraño ritual al amanecer en el sanctasanctórum , cosa que ninguno de ellos hacia al amanecer, y desde el momento en que vieron ese extraño ritual desearon destruir a quien lo practicaba. Hablando ahora con más profundidad, la mayoría de ustedes son destructores y todos deben recordar que estando en este Trabajo Masónico tendrán que hacer frente a la gente profana: "¿Qué está usted Haciendo como masón? ¿Por qué no me lo puede decir, es un secreto?", le dirán . El hombre hace excepción de toda persona que difiere de él y así se vuelve destructor para con dicha persona, pero debe darse cuenta que aquel hombre a quien desea destruir por sus criticas es probablemente él mismo. Por lo tanto comienza a ver en sí mismo la misma cosa que critica en la otra persona. Empieza a moverse por el medio o tercera fuerza entre los opuestos y allí encuentra un Camino y ya no es más derrotado por lo que pueda ocurrirle en la vida. Recuerden que se dijo una vez en el Secreto de la Tolerancia Masónica: "Yo soy tú y tú eres yo." Eso es estar consciente de las tres Fuerzas - https://groups.google.com/forum/#!searchin/secreto-masonico/Arquitecto$20%7Csort:date/secreto-masonico/Nsk2r3BLgKs/lWmqkWnHWswJ

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From: Alcoseri Sent: 25/07/2016 17:03

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From: BARILOCHENSE6999 Sent: 21/12/2016 15:38
Resultado de imagen para mathematics star of david TOROID

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From: BARILOCHENSE6999 Sent: 22/07/2017 14:50
Resultado de imagen para ratio 2:3 salomon solomon

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From: BARILOCHENSE6999 Sent: 10/11/2017 03:17

RIOS DE BABILONIA- Salmo 137 (Rivers of Babylon-Boney M 3 ...

9 mar. 2015 - Subido por NORMA FLORES MÉNDEZ
RIOS DE BABILONIA- Salmo 137 (Rivers of Babylon-Boney M 3) .... imbecil que puso las imagenes a ...

Boney M Rivers of Babylon - Rios de Babilonia. Salmo 137. - YouTube

27 jul. 2016 - Subido por Paulo Generoso
Uma das musicas mais famosa no Brasil em 70 e 80.

SALMO 137 - BONEY M - YouTube

13 oct. 2015 - Subido por Valdinei Santos
S A L M O - 137 - Fontes rabínicas atribuem este poema ao profeta JEREMIAS, outras fontes atribuem ...

Reply  Message 79 of 89 on the subject 
From: BARILOCHENSE6999 Sent: 19/03/2019 18:35

Why 137?

“Why 137?” was the question Nobel Prize winning physicist Wolfgang Pauli (1900-1958) was preoccupied with throughout his life. You see the fine structure constant, a dimensionless fundamental constant of physics, has a value nearly equal to 1/137. Here’s an overview:




In his Nobel lecture delivered in Stockholm on 13 December 1946, Pauli expressed his goal was to establish a theory “which will determine the value of the fine-structure constant and will thus explain the atomistic structure of electricity, which is such an essential quality of all atomic sources of electric fields actually occurring in nature.”

The charge of an electron is equal to the square root of (fine structure constant x 4π) in natural units.

Pauli famously quipped, “When I die my first question to the Devil will be: What is the meaning of the fine structure constant?” Unfortunately Pauli died without accomplishing his goal in the Red Cross Hospital of Zurich in Room 137—and he was aware of that synchronistic irony before he died.

The great psychotherapist Carl Jung helped Pauli in his quest to find a mathematical basis for the fine structure constant by interpreting more than 400 of Pauli’s dreams, published in Jung’s Psychology and Alchemy. Jung believed that Pauli unconsciously comprehended “some grand cosmic order.” Arthur Miller wrote a book about their collaboration entitled, 137: Jung, Pauli, and the Pursuit of a Scientific Obsession.

The brilliant Nobel Prize winning physicist Richard Feynman had this to say about the fine structure constant:

“It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it. Immediately you would like to know where this number for a coupling comes from: is it related to π or perhaps to the base of natural logarithms [known as e]? Nobody knows. It’s one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the ‘hand of God’ wrote that number, and ‘we don’t know how He pushed his pencil.’ We know what kind of a dance to do experimentally to measure this number very accurately, but we don’t know what kind of dance to do on the computer to make this number come out, without putting it in secretly!” -Richard Feynman QED: The Strange Theory of Light and Matter (1985)

Belshazzar's Feast by Rembrandt (1635) — slightly altered by the authorBelshazzar’s Feast by Rembrandt (1635) — slightly altered by the author

Curiously, the Hebrew word קבלה, meaning Kabbalah, takes a Gematria value of 137. The Bible says Ishmael lived to the age of 137. The Koran says Ishmael is buried next to the Kaaba in Mecca.

Symbolically, this is the threshold between the physical dimension and the utterly spiritual dimension. In other words, at the boundary line of the physical world, the number 137 emerges…


Physicist Leon M. Lederman numbered his home near Fermilab 137 based on the significance of the number to those in his profession. Lederman expounded on the significance of the number in his book The God Particle: If the Universe Is the Answer, What Is the Question?, noting that not only was it the inverse of the fine-structure constant, but was also related to the probability that an electron will emit or absorb a photon. He added that it also, “contains the crux of electromagnetism (the electron), relativity (the velocity of light), and quantum theory (Planck’s constant). It would be less unsettling if the relationship between all these important concepts turned out to be 1 or 3 or maybe a multiple of π. But 137?” 

-Wikipedia article on 137 (number)

Cosmologist Robert L. Oldershaw reasons that 137 is the relationship of the strength of the unit electromagnetic interaction compared with the strength of the unit gravitational interaction. That sounds pretty fundamental to me.

Strangely, approximately 137 x 10,000,000 years have elapsed since the Big Bang.

In the Bohr atomic model, the innermost electron of a hypothetical atom with atomic number 137 would be orbiting just below the speed of light, and the next heaviest element would be impossible because its electron would have to exceed c. Atoms close to the theoretical limit of 137 are unstable and not found in the universe.

The fact is, the fine structure constant is not exactly 1/137. The currently accepted value is 1/137.035999074 (CODATA 2010). The denominator of the constant is called α (alpha) and it is slightly larger than 137.

In order of increasing accuracy, here are various thinkers’ attempts to discover the math behind 1/α.

The quest for a mathematical basis of 1/αThe quest for a mathematical basis of 1/α

I learned about most of these discoveries from an outstanding paper called Dimensionless Physical Constant Mysteries by Ke Xiao.

My illustration of the golden angle below is coincidentally exactly equal to Bohr’s formulation of alpha, 360/(Ф^2). The golden angle controls plant patterning of repeated biological units (called phyllotaxis) and governs the geometrical optics of rainbows. More info on these subjects is available in The Divine Proportion. It is worth pondering whether phyllotaxis and/or rainbows are ultimately governed by the golden angle or alpha? They are 99.7% equivalent.

The golden angle, from The Divine ProportionThe golden angle, from The Divine Proportion

The equation by D. Beere (1973) above is actually from his book USP-A: Physics for Flying Saucers. I had to work out the math to find the hidden formula for alpha and it turns out to be an elegant one, which comes out of comparing electrical inductance in a loop with the fluid mechanics of a vortex. It is fascinating that putting the math together from these two different but analogous phenomena (magnetic vortex vs. material vortex) yields an approximation of alpha. This might be an avenue for more research.

W. A. Harrington contacted me a few days ago because of my work on the Divine Proportion and shared some of his complex equations related to the fine structure constant (one of his is shown above). What little I understand of them inspired me to dig deeper and attempt to answer Pauli’s question myself, “Why 137?” and this blog post (and my fortuitous formulation of 1/α) is the result.

W. R. Mellen’s equation is elegant because it is simply the hypotenuse of a Pythagorean triangle. However, it doesn’t tell us anything about where 137 comes from.

The hypotenuse is αThe hypotenuse is α

In my final formulation of 1/α (revised Jan 2016), the repetition of digits was the key and it resonates with the fact that 137 is the 33rd prime. I was able to figure it out because one of W. A. Harrington’s formulas for 1/α has a value of 137.037037037… and I recognized that repeating pattern.

When I cracked Jules Verne’s code in Quantification (20,000 Leagues Under the Sea was a journey of 111,111 km), I realized that 33.333…^3 = 37037.037037037… and this led to the following equation, with error in parts per million. The bars above 3 of the digits indicate eternally repeating digits.


An approximation of the ratio of a circle’s circumference to its diameter can be expressed in terms of alpha and repeating threes.


The way I exactly expressed Ф and its reciprocal in The Divine Proportion was another repetition of digits.


Feynman called Euler’s Identity “our jewel” and “the most remarkable formula in mathematics.” It normally takes the form you can read about on Wikipedia but I came across an alternate formulation of Euler’s Identity in Xiao’s paper that I think is even more beautiful because it relates e, i (√-1), π, Ф, and ϕ, fundamental constants others have used to express α:

The most beautiful equation in mathematicsThe most beautiful equation in mathematics

The above equation is a kind of mathematical poetry connecting 4 of the most important constants. The poetry is beautiful because of this elegant interconnection. Having 1 and 0 in the standard formulation is better than -1 but I think that the most pleasing formulation includes the golden ratio Ф (≈1.618) and its reciprocal ϕ (≈0.618) because this expresses the unique nature of the divine proportion whilst simultaneously forming a elegant relationship with e, i and π.

Astrophysicists measured variations in the fine structure constant in 2011. WTF!

“While the data from just one telescope seemed to suggest that alpha varies in time, data from the two telescopes show that alpha also seems to vary in space. Such a discovery could have major implications, starting with shattering the basic assumption that physical laws are the same everywhere in the universe. The results also violate the Einstein Equivalence Principle, and suggest that the universe may be much larger than currently thought – or even infinite in size.


If alpha were just 4% bigger or smaller than it is, stars wouldn’t be able to make carbon and oxygen, which would have made it impossible for life as we know it to exist. 

One intriguing possible implication is that the fine-structure constant is continuously varying in space, and seems fine-tuned for life in our neighborhood of the universe.” –PhysOrg.com

Fortunately for us the amount of variation is 4.1σ – 4.2σ, which means we only have confidence in α to 99.99%.

The mystery about α is actually a double mystery. The first mystery – the origin of its numerical value α ≈ 1/137 has been recognized and discussed for decades. The second mystery – the range of its domain – is generally unrecognized. —Malcolm H. Mac Gregor, The Power of Alpha (2007)

It will be harder to elicit the true math behind the fine structure constant until we understand precisely how such a fundamental constant changes.

“There is no need to suppose that all the laws of nature sprang into being fully formed at the moment of the Big Bang, like a kind of cosmic Napoleonic code, or that they exist in a metaphysical realm beyond time and space…If we want to stick to the idea of natural laws, we could say that as nature itself evolves, the laws of nature also evolve, just as human laws evolve over time. But then how would natural laws be remembered or enforced? The law metaphor is embarrassingly anthropomorphic. Habits are less human-centred. Many kinds of organisms have habits, but only humans have laws.” –Rupert Sheldrake

The reason 137 has obsessed so many thinkers to try and find the math behind it is
clear. Einstein wrote, “In a reasonable theory there are no numbers whose values are only empirically determinable.”

“It is impossible for human minds to construct something as infinitely rich as mathematics, that so successfully describes our universe down to the finest detail. Given that it is impossible for anything else to describe our world so accurately, it is also impossible to conclude that the universe is not mathematical.


It’s often said that the whole of biology is explained by chemistry, the whole of chemistry by physics and the whole of physics by mathematics, the queen of the sciences. If all physics is contained within mathematics, it has the most radical consequences. Advocates of the Multiverse seek to argue that life in our universe is an accident, an outcome of a random version of physics that applies to our universe. If, however, there’s only one physics, defined entirely by ontological mathematics (which is a single, interlocked edifice) then the fact that there is life in our universe is no accident at all. It implies nothing less than that our universe is alive. It is designed for life because it IS life. 

The fundamental constants of physics are finely tuned for life precisely because they are manifestations of a living system.[emphasis my own]


A living universe is a universe of mind. The ideology of scientific materialism is thereby refuted. Many scientists are so blindly wedded to materialism that they would rather invoke infinite universes and infinite versions of physics and infinite sets of varying fundamental constants than embrace mind and life. Yet infinity does not help them. How can infinity convert the inanimate into the animate? How can consciousness come from mindless atoms? These are impossibilities, pure and simple. EVERYTHING makes sense as soon as it’s accepted that the universe, in its most basic aspect, is living not dead, and minded not mindless.” –Mike Hockney


Yours is the eye perceiving atop the pyramid, the answer to the question, “Why 137?”


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