CENTER FOR PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY GOALS_MARCH.2021
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Power of Spheres, Circles & Pi (π)
Deepest Structures of the Universe Drive the Economics of Value
by Bruce Camber Also: [1], [2], [3], [4] and [5]

Our Key Evocative Question: Could the key structures of pi (π) also be key structures of our universe (as well as economic theory and valuation)? Yes, think about it. The three faces of pi (π) permeate everything. Continuity gives us the never-ending, never-repeating numbers and uniqueness. Symmetry is for spatial relations and gives us the perfections of the sphere. Harmony is for the harmonic functions of the Fourier Transform (emergent dynamics).

Hypothesis. Take as a given, a key structure of the universe is an infinitesimal sphere defined by units like those from Max Planck or George Stoney. Those numbers for time and space are many orders of magnitude smaller than any known particle. What can we say about that primordial sphere?
[1] It is defined by pi (π).
[2] It is approximated by Stoney units, Planck base units, or even better numbers from people like John Ralston, or official groups like the ISO.
[3] It is defined by other dimensionless constants.
[4] This very-first infinitesimal sphere will exhibit a primary quality of pi — it is a never-ending, never-repeating number, always the same and forever changing.
[5] That quality redefines continuity. It creates order and numbers and it is the first moment of time and the very nature of time.
[6] To visualize this event, know that the rate at which these spheres are manifesting is very-very high. It is unbelievably high.

[7] This image on the right of sphere stacking doesn’t at all capture the dynamics. It is, however, one of the earliest examples of sphere-stacking, 1611, by Johannes Kepler, of cannonballs on the deck of a ship.

[8] A second quality of these most-infinitesimal spheres is their symmetry, a relation which creates space.
[9] There is an abundance of college courses about the many types of symmetries.
[10] Our focus is on cubic-close packing (ccp) of equal spheres and the creation of lines, tetrahedrons and octahedrons, including a five-tetrahedral cluster, a five-octahedral cluster, and a twenty-tetrahedral icosahedron, all with gaps that become squishy geometries that become quantum fluctuations.

[11] And, a third quality of this sphere is harmony which creates dynamics which creates a space-time moment defined by the Planck base units.
[12] This image takes pi and spheres and makes them dynamic, extending through time. It is called the Fourier Transform and we are now researching possible faces of it and the harmonic functions uniquely created.

Within these three images, space-time and mass-charge become the Janus face of each other. Here, too, we should begin to see how electromagnetism and gravity have been yoked (through the spin states [direction and type] of the Fourier Transforms and other integral transforms).

Continuity, symmetry and harmony are conceptual words with exacting meanings within the infinitesimal scale. These words also are generalized observations that are applicable on the largest-possible scale. Yes, these words have applications from the most finite to the infinite and in so doing, create a de facto value structure for things.

Continuity-symmetry-harmony are extended throughout the 202 base-2 notations that encapsulate everything, everywhere for all time. Yes, these three facets of any given moment lay the foundations for the expansion of the universe, the very nature of value, and the beginnings of economic theory.

Continuity, Symmetry, Harmony. Think of gold and silver coins. Think of fine homes, fine cars, fine clothes, and fine food. The first quality and value of each is that these things are the instantiation of continuity. Continuity establishes standards for the best of what is. It is not unpredictable. It transcends time (as it creates time).

Continuity is the beginning of value.

Now think of the people involved with the making, selling, and maintaining of all these fine things. Here are symmetries of many relations over time. All circles and spheres, here are affirmations, texturing, and imparting continuity. Every relation establishes, sustains and increases the inherent values.

Symmetry brings balance and stability and knowingness to value (continuity).

Now think about how those fine things bring joy, pleasure, and moments of perfection. As all the finer things are used or consumed, life is enlivened. There is a sense of a deep harmony and joy. The values created are experienced and confirmed and life is good. These are valuations that we yearn and strive for and though seemingly illusive, they are everywhere, just a bit deeper within.

Harmony opens the richest dynamics of life.

Conclusions: The three primary facets of life — continuity-symmetry-harmony — coming from deep within pi, are the definition of the essential structure of the sphere, which ultimately give rise to very structures of our little universe. These facets manifest the deep nature of the finite and the infinite.

PS. What about quantum fluctuations? This link opens all references on this site.

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Footnotes & Endnotes
[1] An atom or any known particle. To grasp how small these spheres are, we apply base-2 notation to the Planck base units. If we take as a given that the Planck units define these infinitesimal spheres, we can account for all the spheres within natural groups. Most of it is quite straightforward, yet rather remarkable. It takes no less than 64 to 67 doublings before reaching the size of a neutrino and other elementary particles. The periodic table of elements ranges from about Notation-70 to Notation-80. Life comes alive between Notation-90 to Notation-103. The size of the earth and its environment come to manifest around Notation-144 where the Planck Time doubling has just passed one second. The size of our solar system manifests at about a light year within Notation-169. According to big bang cosmology, large structure formation requires 150 million years to begin. One million years manifests within Notation-189. One billion years manifests within Notation-199. Our current time is within Notation-202. To review these numbers, please see our horizontally-scrolled chart that we developed in 2016. It is still being developed! Notwithstanding, one can see that our infinitesimal sphere within Notation-1 is orders of magnitude smaller than a neutrino (and trillions upon trillions of neutrinos pass through us every day).

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[2] The Planck base units, Part I. My hope is that we grasp the essence much faster than the academic-scientific community did. With few exceptions they took over 100 years to begin to understand Max Planck’s 1899 work. Here were units of time and space defined by four universal physical constants such that it is inconceivable that a smaller or shorter unit of time could exist. It is well worth the time to engage the Wikipedia accounts. My writing about these units has been on the job learning which will continue for my lifetime. There is that much more to learn.

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[3] Other dimensionless constants. If these constants are dimensionless, where do they exist? Do these numbers exist only within themselves? There is so much to learn about dimensionless constants. Coming in two flavors, physical dimensionless constants and mathematical dimensionless constants, our all-important Pi (π) is purely mathematical. Scholars work to define which constants are necessary for the Standard Model of Particle Physics (a)(b). Perhaps 31 is as good an answer as any in 2012. However, I believe we all have a huge amount of work to do to reconcile not just the 31 constants, but also the 300+ constants defined by NIST and the all those defined by Simon Plouffe (over a billion). This work is just getting started!

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[4] Always the same and forever changing. The pure number and dimensionless constant, Pi (π), deserves its own day. Making pies and demonstrations are fun, yet this day should become a day that we all return to our foundations. It is here we can begin to grasp a bit of the perfection that is ours. How can something always be the same and be forever changing? That is the Great Enigma! We are all participating within it all the time. Life is a profound mystery that can actually be banal! It is everywhere within everything through all time.

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[5] The very nature of time. For many years now, our leading scholars and scientists have been telling us that time is an illusion. We laughed at them. “Hardly true. Just take a look at my arrow of time. I look terrible, I’m 50 years beyond my prime. It’s only a fool who makes such statements.” And then, I joined them, but my take on it is quite different. “I have 201 notations that are complete and symmetric; and, the current notation– that is Notation-202 — is directional. It is not an illusion; here time is directional, but only until you sleep. During sleep, all your uniqueness is recompiled into the universe. It is like throughout your waking hours, you are out mining gold — perfections of continuity, symmetry and harmony. And while you sleep, you make either a positive impact or a negative impact on the universe. It is a a rather novel, rough concept, but it is all that I have so far. Time provides part of the labeling of everything you do, think, believe, and process. I believe that is its most basic purpose. You uniquely label everything you do, think, believe, and process. Nothing is exempt.

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[6] Unbelievably high. Six postings and this overview make for a lot of reading, however, if we are going to join the crowd debunking the infinitely-hot big bang, we’ve got to some work to do. Breaking free from a worldview that starts infinitely hot (big bang) where time and space go on forever (Newton’s absolutes) is not easy. Learning very large numbers to describe things that are infinitesimally small is not easy. Yet, once you begin to become comfortable with those very large and very small numbers, you can begin to grasp 539 tredecillion spheres per second, the very raw calculation for an expansion of the universe per second. That rate of expansion would be about the size contained within the current orbit of the International Space Station around the earth. This expansion would be quiet because these spheres are many, many orders-of-magnitude smaller than sound waves. It’d be deafeningly silent. Plus, this expansion begins superconductingly cold, not infinitely-hot. Yet, within just one second, the mass — 4.85×10³⁴ kilograms — would be considered like a neutron star and the temperature would rise to support the quark-gluon plasma. The dark energy and dark matter experts should take a look. We may have a candidate here.

Consider a few simple calculations base on Planck Time, 5.39116(60)×10⁻⁴⁴ second:
• 539,116,000,000,000,000,000,000,000,000,000,000,000,000,000 planckspheres/second
.. Read: 539.116 tredecillion or 539116000000000000000000000000000000000000000
• 436,117,076,900,000,000 seconds (approximately 13.82 billion years)
.. Read: 436 quadrillion, 117 trillion, 76 billion, 900 million seconds or 436117076900000000
• 4,361,170,769 times 539,116 equals 2.35117694×10¹⁵
• Add the eight zeros from seconds and 39 zeroes from the planckspheres per second
• Estimated total number of planckspheres in the universe: 2.35117694×10⁶² planckspheres

We’ll continue to check the math.

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[7] Cannonballs on the deck of a ship. The best-known person to engage cubic-close packing of equal sphere is Johannes Kepler. We need to know his work and that of Thomas Harriot and a dozen others on the way to Thomas Hales in our day. Much more fundamental than the CCP that China proclaims, this ccp (1) (2) is a deep, fundamental process that evolves out of sphere stacking. It doesn’t get any more basic! And, with 539 tredecillion spheres expanding our universe every second, it is an image that our very finest cinematographic minds have not yet imagined.

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[8] Creating relations which create space. The relation, a ratio also known as a formula, with continuity (time) is what is fundamentally real. Everything else is derivative. Creating relations with balance or love is the purest form. Those whose hearts are bleeding the most for others, those who want everything for everybody, feel this fact even if they can not elucidate a concept around it. The problem is creating value to give to others takes away the possibility of that person creating their own unique value. I’ll come back to this footnote often; it needs to become a major discussion.

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[9] Types of symmetries. Every symmetry is a key. We are just scratching the surface. Some geometers have been at it for decades; they know remarkable things about pi and symmetry. Yet when I ask them about the interiority of the octahedron and they can not tell me about those four hexagonal plates within, I know too much that is fundamental has been missed.

We all need to be celebrating every honey bee in the world. Somehow they are in harmony with those hexagonal plates and everything that comes out of them has a deep hexagonality. We all need to know and experience every natural symmetry.

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[10] Lines, tetrahedrons and octahedrons. Our earliest work was with points, lines, tetrahedrons and octahedrons. Even though we knew the sphere was important, we didn’t know what to do with it. It seemed rather removed from our basic building blocks. Then, cubic close packing of equal spheres showed up in a search. There is lattice generation. It changed everything. Yet, it still takes awhile to absorb; and to this day, there is still a lot to absorb and a lot more to learn.

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[11] The Planck base units, Part II. We are all in search of an essential universe. Religious people of our world are often more stridently in search of what is essential. And, many are sure that they have what is most essential. Yet, until we understand more about the parts-whole relations, our talk is barely textured. We paint with such broad brushes, we often miss fine details that add to the majesty, the miracle, and the mystery of belief. All the dimensionless constants, both mathematical and physical, are the fine and extra-fine paint brushes. Until we know them, we don’t naturally use them. We can’t use them effectively. We may well use them unwittingly, but there is an art form, a perfection, within each of them. Here transformations may open new dynamics that have not even been imagined except for the most loving of our science fiction writers. Perhaps a new generation of artists-scholar-scientists can open ways to these dynamics and lead the way.

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[12] The Fourier Transform. There are no less than six dynamics that naturally come with spheres. All can be applied to the Planck scale and to each notation thereafter.
• Cubic-close packing of equal spheres: Though lifted up within this website first (2016), this image naturally builds on the next five dynamic images.
• Sine-Cosine-Waves: We’ll all learn about the wave’s fundamental relationship to the circle.
• Focus on Sine: We’re all going to learn a little trigonometry and calculus, too.
• An all-natural polarization: An open metaphor and analogical construction (mimetic).
• Lagrange points: All Lagrangians come home.

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References & Resources
A More Simple Model: Six top postings, a summary overview
• Worldviews to UniverseView: Engage a Planck-scale Defined Universe.
• The three: Continuity-Symmetry-Harmony will take time to incubate.
• History: Change the Metaphor – Rewrite the History.
• Expansion: One plancksphere/plancksecond, a natural-but-unorthodox expansion
• First Instant: Remember Pi, a primordial, constant, ever-changing, always the same
• Consciousness: Who am I? Who are you?

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Communications: Emails & Instant Messaging

3:37 PM · Jan 30, 2021 @franlebowitz We all need a lift… outta the blues. We need a new view on life. Worldviews are too small. How about the universe? Here’s one for you: http://81018.com It’s real and it has pi, and spheres, and logic, and real moments of perfection. What’s not to love?

3:59 PM · Jan 31, 2021 @PNASNews Perhaps there’ll be a convergence here. We are starting at what we think is the first instant where Planck’s base units encounter pi and give us our first mathematical sphere: https://81018.com/challenge/ But at 539 tredecillion spheres per second, how are we going to sort things out?

4:43 PM · Jan 31, 2021· @walkingthedot You might enjoy this take on the first instant of the universe defined first by pi and the Planck base units. Gives the start of a full-blown view of the universe instead of little worldviews.
PDF: https://brucecamber.files.wordpress.com/2021/01/challenge.pdf
or https://81018.com/challenge/

5:39 PM · Jan 31, 2021 @mthomps I’ll start working on a koan for the first instance of the universe with pi and Max Planck’s base units (Nobel, 1918, mentor of Einstein, began quantum theory). Basic, basics. Webpage: https://81018.com/challenge/ If you get there first, please let me know!

6:01 PM – Jan. 31, 2021 @SarahZielinski – Why not start a different take on pi? What would be the most basic-basic use of pi? Could we start the universe? What if we were to use the Planck base units and add pi? I thought about it a bit: https://81018.com/challenge/ Perhaps it could add to the Pi Day discussions. Thanks. -Bruce Please Note: This little message was sent from within Sarah’s website from her comment page. She had written an article for Pi Day, March 14, 2011. Although the many links, i.e. the first to Pi’s history might best go to Wikipedia’s listing. There is also the book, the movie, a song, and a uniquely-focused, specialized website (with many more options).

1:14 PM · Feb 3, 2021· @ScienceWriters @SarahZielinski @sciencedirect @APSphysics @JAMA_current Pi Day is coming up. Here’s a different take on pi: “Pi is necessary for the start the universe!” Max Planck’s 1899 base units require pi (and the Fourier Transform) to get it all moving: https://81018.com/challenge/ Let’s go deeper with all the Pi Day discussions. Thanks. -Bruce

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Zzz’s
Afterthoughts. Like so many pages on this website, this is the first time we have so pointedly equated pi with the first sphere, the first moment of space-time, and continuity-symmetry-and-harmony. A sequel posting will be developed by merging this document with the one just before it, https://81018.com/essentials/

It is titled, The First Instance of Our Universe. It also reflects the many other pages including: https://81018.com/instant/ https://81018.com/expansion/ https://81018.com/conscious/

So, yes, there will be much more to come on this topic…

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Key Dates for this document, Challlenge

• This document was started on January 28, 2021.
• First posted for collaborations: January 28, 2021
• The URL for this document is https://81018.com/challenge/
• The Prior Homepage: https://81018.com/essentials/
• First Tagline: Pi Day: Something New? Challenging?
• Second Tagline: Deep Structures of the Universe Drive Economics of Value
• The last update of this page was on August 20, 2022 (modest updates).
• Challenge PDF as of January 31, 2021

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