PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY. GOALS.September 2023
PAGES: π (pi) | .FIRSTS.|.FOOTS | ENDS |.REFERENCES |.EMAILS.| TWEETS | Zzzzs

Supporting Everything-Everywhere-for-All-Time
by Bruce E. Camber

Abstract. Initially this page was posted as an eight-minute lesson to context the universe in an approachable manner so to encourage people to follow the developments of the James Webb Space Telescope (JWST) and the many gut-wrenching analyses about it. The JWST has turned cosmology upside down. We have not fully analyzed all the possibilities within the smallest scale of the universe. The most logical place to start is with Planck Time, the denominator of Planck Length.

Planck Length and Planck Time and an exquisite infinitesimal sphere start our universe.^[1] The essence of this universe are the dimensionless constants that make up the Planck base units and continuity-symmtery-harmony, the essential three facets of pi(π) and every sphere.

Early in the 20th century, Max Planck was a world-renown physicist. He was one of leading scholars to encourage and nurture a young Einstein. In 1918 Max got his Nobel prize for conceiving a quanta of energy opening the door to quantum physics.^[2]

Around 1900 he made unusual mathematical calculations that resulted in very, very small numbers of length and time, but that work was largely ignored until the year 2001. As his work began getting recognition,^[3] some scholars concluded that these were the smallest possible “really-real” units of length and time.

In 2011, our first-year geometry students^[4] had begun working with what seemed like an infinite regression of basic geometries (tetrahedrons and octahedrons) that perfectly encapsulate each other. Going smaller and smaller, we needed a place to stop. When we learned about the Planck Length-and-Time, we decided, “That’s it.” We learned about cubic-close packing of equal spheres and postulated that the sphere would be the smallest thing those Planck numbers could define. So, in his honor, that infinitesimal sphere was called a Plancksphere.

We slowly concluded that these exquisitely-small, natural numbers describe an infinitesimal sphere and that the sphere is the most-basic building block of the universe. We eventually began to see how those numbers and spheres could be the basis of a grid or matrix that binds the universe together. We turned to the experts for help.

Encouraged, we used Planck’s numbers to outline the universe: Just a rough cut, we began by applying base-2 notation, a fancy way of saying “multiplying by 2.” So, we multiplied that PlanckSphere by 2 and we have two spheres. Multiplied again, we have four. Again and again, we have eight, 16, 32, 64, 128, 256 and so on. Assume each time you multiply that it pushes out equally on all sides so that first sphere is on top and goes higher and higher.

Quarks: Let’s go to Notation-56. That’s 56 doublings from the start (10^-18 meters). Some scientists speculate that this just might be where quarks are generated. There are 1.8014398×10¹⁶ spheres. That’s 180,143,985,094,819,846 infinitesimal spheres inside the area of an assumed quark that calculates to have a mass of 1.25467×10¹⁰ kg or 12,546,700,000 kilograms. The Empire State Building in NYC is about 331,122,430 kg (3.31122430⁸ kg) between 3-to-4 times more mass. Our simple logic and commonsense have a difficult time absorbing such calculations so we will let those concepts simmer for awhile, maybe for years. It certainly is not as great a stretch as what was known as “the big bang singularity.”

By the 67th doubling (10^-15 m), we can begin identifying particles. And, by the 83rd doubling, we finally see a little hydrogen atom (10^-10 m).

The first recognizable unit of time also takes awhile to be identified. The first measurable unit is within the 78th doubling. It’s about a trillionth of a billionth of a second. That measurable unit of time is called a zeptosecond. The very first second of the universe is within, Notation-143, which is the 143rd doubling.^[5]

Most of us have a relatively-good intuitive sense of a second. But, this first second is the most important second in the universe; it involves well over two-thirds of all notations.

Following the definition of Planck’s numbers, there is one sphere per unit of Planck Length and Planck Time.^[6] Thus, there are over 18.5 tredecillion spheres per second. That’s 185 followed by 42 zeroes. Stacked end-to-end, they are highly compressed. it is an obvious candidate to account for dark matter and energy: 1) That would be mass and energy below the thresholds of measurement. 2) It may be nonlocal. 3) It would be located within those spheres where the core of moons, planets, solar systems, stars, and galaxies that are already quite dense.

That’s a grid that has been expanding every second from the beginning of time.^[7]

The first second of the universe is driven by spheres and dimensionless constants which includes the most ubiquitous-and-versatile constant, pi (π) with its three primordial facets, continuity-symmetry-harmony. It is predictive, entirely mathematical and geometrical, and it’s all driven by a most-simple logic.^[8]

So, let’s keep doubling. Within the 169th doubling, the universe is finally a year old. That is just over 31.5 million seconds. Within the 179th doubling, 1000 years, that’s over 31 billion seconds. Within the 189th doubling, the first million years gives us over 31 trillion seconds of spheres. ^[9]

Now, that accounts for basic, formative growth of an exquisite infinitesimal grid or matrix.

By the 199th doubling, 1.37 billion years, and just over 31 quadrillion seconds, that’s a repetitive, substantial expansion.

We still have Notation-200 which is 2.7 billion years and Notation-201 (5.49 billion years). Notation 202, is 10.9816 billion years. It contains today, the Now, this very day and time, along with everything-everywhere in the universe from that first moment in time.

Just 202 doublings, all defined by geometries, equations, and numbers, we have the universe.

This is an outline and the most-simple mathematical map of the universe. Again, you just went from the smallest thing to the largest in just 202 steps. It is a highly-ordered system. And ultimately, it is all based on pi and pi’s perfect continuity, perfect symmetry, and perfect harmony.

That is a lot to take in, but there are five more things I would like you to observe about your universe:

1. It’s manageable. You can learn and know this stuff. The same 202 doublings that define the universe also define you.
2. It’s useful. Everything-everywhere can be understood. It’s all exquisitely connected.
3. Some of it is perfect. Yes, within those first 50-to-64 doublings –there is so little time-and-space and so much density there is no room for error. Errors are inefficient and take time. This part of the grid appears to have perfect continuity, symmetry, and harmony. And, there is an abundance of new information and value within these notations. It should be inspirational.
4. Some of it is imperfect. You can lighten up and be easier on yourself. The imperfect has gaps yet also plenty of places to be creative and adventuresome. You can make mistakes; that’s part of the challenge. This is your work effort. If you will — it’s in here you find your uniqueness. As you do what do, it is who and what you become.
5. All of it should add value — continuity-symmetry-harmony. Those three will begin to define so much in your life.

Right now, everything is upside down. Our current thinking is, “You’re a nobody on a typical little planet within a rather insignificant solar system, in a very ordinary spiral galaxy.”

What if we were to hypostatize a radical, new reality — “You are being groomed to populate and develop an otherwise uninhabited galaxy. Every living person alive is needed to come up to the task! There are trillions of galaxies and we only have 8 billion people so far!”

The theater of the absurd: Of course, on it’s face, that last statement is an absurdity. There’s no way to get beyond our own galaxy, never mind populating others… but, what if we really do not grasp the essence of space and time? What if those 202 notations are linked by any number of wormholes? What if we were to begin uncovering the algorithms to find them and to identify their unique features?

We now know there are very old galaxies that started within 300 million years of the start of our universe.

Increasingly, I believe the evidence that our universe begins with a primordial infinitesimal sphere grows stronger with every passing day.

If we all had grown up thinking so openly, what a different world we would live in. The fact is that our basic assumptions about life are being redefined right now. Those three basics of our core — space-time and infinity — are being redefined. The continuity-symmetry-harmony inherent within pi(π) are all taking on added dimensionality and importance. We have so much to learn to make things more simple with a whole lot less obfuscation. And when we finally have some clarity, we’ll all really begin to work! Thank you. -BEC

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Footnotes
Working on the footnotes and endnotes today.

1. http://en.wikipedia.org/wiki/Planck_length retrieved from Wikipedia on September 14, 2023
2. Max Planck, The Theory of Heat Radiation (PDF), trans. Morton Masius, P. Blakiston’s So & Co., 1912
3. Oxford University Press, “The most favoured concept of the origin of the Universe is the Big Bang theory” retrieved on September 14, 2023.
4. JWST’s First Glimpses of Early Galaxies Could Break Cosmology, Scientific American, September 2022
5. Charles W Misner, John A Wheeler, Classical physics as geometry, Annals of Physics, Volume 2, Issue 6, December 1957, Pages 525-603
6. Rajendra Gupta, JWST early Universe observations and ΛCDM cosmology, Monthly Notices of the Royal Astronomical Society, Oxford Academic, 2023
7. The Big Bang: Third Edition, Joseph Silk, W.H. Freeman & Co. , 2001, ISBN13: 9780805072563
8. Eleanor DiValentino, Alessandro Melchiorri, & J. Silk, Planck evidence for a closed Universe and a possible crisis for cosmology. Nat Astron 4, 196–203, 2020
9. John H. Barrow, Pi in the Sky: Counting, Thinking, and Being, Little Brown, Oct. 1993
10. Unity and Disunity in Mathematics, Bernhelm Booss-Bavnbek, Philip J. Davis, 2013

Endnotes ____ Going over points already made within this website.…

*An Exquisite Grid or Matrix fills the universe from Planck Time to the Now. Given the early results from the JWST, the big bang is being most-pointedly questioned. Though many have had their doubts for years, this maybe the confluence that makes it a relic of history. There is a new physics beyond the Standard Model. It is our belief that the obvious has been overlooked. Long before quarks or particles, the Planck base units are doing something. By applying base-2 notation or doublings, we can spread it out for analysis. Perhaps our idiosyncratic-but-simple theory is too simple for most. We don’t know. Not one of our scholars or budding scholars (pre-docs and postdocs) has actually reviewed it. That tells us something. In the course of thinking about 56 notations before quarks and the 64 notations before particles, 35 unique ideas have been put forth. All are quite simple, but with dramatic consequences. Not even Max Planck was aware that he unwittingly redefined light whereby Planck Time is always the denominator of Planck Length.

All predictive numbers generated from the Planck base units, this theory builds on pi (π), the most ubiquitous-and-versatile of our dimensionless constants. Yet, here are new challenges to our basic understanding of things. There are perfections prior to quantum indeterminacy! That will be the focus of the next homepage.

This homepage is a quick rewrite of an eight-minute lesson to context the universe in an approachable manner so to encourage people to follow the developments of the James Webb Space Telescope (JWST) and the ongoing analyses of its results.

[1] The calculations of Planck Length and Planck Time. If you believe that particles, especially Higgs bosons, are the starting point of the universe, these calculations look impossibly small. If you remain open to any possibility, the first thing you might do is look to see what goes into making those calculations. Among the dimensionless constants that are used, pi (π) stands out; and, as it begs the question, you might get the feeling that your high school definition of pi (π) is not quite complete. It is too limiting, and that ubiquity-and-versatility of pi (π) is giving us our first big clue, “It is an archetypal form that embeds within everything as continuity-symmetry-harmony.”

[2] Quanta of Energy: You can read the words of Max Planck in his book, The Theory of Heat Radiation (PDF) which was officially translated by Morton Masius of Worcester Polytechnic and initially published by P. Blakiston’s Son & Co. in 1912. Link to it and read a little bit at a time; it is well worth it.

[3] An adoption curve within academia of Natural Units and the Planck base units:

• G. Johnstone Stoney, On the Physical Units of Nature, Scientific Proceedings, Royal Society of Dublin, 1881 (paper first read in 1874 at British Association, Belfast)
• Max Planck, The Theory of Heat Radiation (PDF), trans. Morton Masius, P. Blakiston’s Son & Co., 1912
• C. Alden Mead (UMinn) In 1959 he began his struggle to publish his work about the Planck Length. Though finally published in 1964, the article, Possible Connection Between Gravitation and Fundamental Length, Phys. Rev. 135, B849 (10 August 1964), was ignored by the scholarly community. Planck Length commanded no respect as a fundamental unit of length.
• John Barrow (1982): With an extraordinary depth and range of scholarship, and a sensitivity to young students, my first letter to John Barrow in 2013 was an earnest request for help, “What do we do with these numbers?” He never commented about my naive attempt to shoehorn everything-everywhere-for all time into 202 base-2 notations. Barrow died on September 26, 2020. See: Natural Units Before Planck, Quarterly Journal of the Royal Astronomical Society, Vol. 24, P. 24, 1983
• Thanu Padmanabhan: His 1985 article — Physical significance of planck length (PDF) — captured my attention. His nonperturbative approach produced a quantum cosmological model free from singularities and the horizon problem. I was very surprised and gratified to see that his article was published so early in his career. He was just 28 years old (born March 10, 1957). Yet, with guidance from India’s renown astrophysicist, Jayant Vishnu Narlikar, he became a most prodigious scholar.
•  John Archibald Wheeler, Physics at the Planck Length, International Journal of Modern Physics A, Vol. 08, No. 23, pp. 4013-4018 (1993).
• Joseph Polchinski.  Quantum gravity at the planck scale, 1998 Polchinski
• Frank Wilczek (2001) became a Nobel Laureate in 2004, yet he continued his wide-eye, open, and enthusiastic approach to the unknowns within life. He was one of the first of those within his caliber who encouraged our explorations. His three articles about Planck units truly opened the door for the rest of us.
• Other considerations: Hypothesized is that the Planck base units, defined by dimensionless constants, do not go smaller, but define the bridge between the finite and infinite.
  1. Long before George Johnstone Stoney and Max Planck worked to discern natural units, scholars have tried to discern the most basic units that define reality throughout all time. In the 1800s that effort became an international collaboration and by 1992, it became a global standard, ISO-31, defined by the International Organization for Standardization (ISO). Within that framework, in 2016, Peter J. Mohr, David B. Newell, and Barry N. Taylor published “CODATA Recommended Values of the Fundamental Physical Constants” in the Journal of Physical and Chemical Reference Data.
  2. Discussions about the necessary dimensionless constants needed to construct the universe are helpful. In 2005, the work of Frank Wilczek, Anthony Aguirre, Martin Rees, and Max Tegmark emerged; they thought 31 physical constants would be required to start the universe. A bit later in 2011 John Baez wrote How Many Fundamental Constants Are There? and assumed 26. The simple question is then asked, “From where do those 26 or 31 originate?” and the answer is, “Deep within pi on a bridge between the finite and the infinite.”
• In July 2023, before AI was applied to the search engines, there were 2632 articles just within ArXiv that explored “Planck scale physics.” On September 15, 2023 there were 35,700 (same search: “Planck scale physics” + “ArXiv”). Even our most distinguished physicists, people like Cumrun Vafa of Harvard, have problems with the Planck scale. This homepage opens with it (July 2023).

[4] Teaching geometry. Perhaps now we will begin putting the textbooks aside and let AI uniquely organize each student’s curriculum of questions and answers. In our textbook in 2011, there was about a quarter of one page to introduce the five most basic solids. There was no discussion of these objects as the building blocks of chemistry and biology. There was no discussion of the interior components of each building block. Within that geometry textbook, it was as if the first principles of geometry were of no concern. Here we say that it is all geometry and mathematics from the Planck base units to around Notations 64-67 where we give that logic and construction a name and call it a particle.

[5] A Predictive Model: You can follow these numbers. These projected numbers can be researched, tested, and re-tested. There are so many unique equations, assumed at every prime number, between Notation-1 and Notation-199. These are as follows: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 197, and 199.

Our working chart (https://81018.com/chart/) is an exponential expansion that returns a rate of inflation acting like a natural inflation. Those first 64 notations readily account for dark matter and dark energy. For more, go to: https://81018.com/tredecillion/ https://81018.com/ni/ https://81018.com/dark/

[6] One sphere per unit of Planck Length and Planck Time. Common sense for some, it will be debated primarily because it invokes infinity. The word, infinity, connotes an unpleasant (some might say diabolical) history which we choose to believe that at some point along this path we might have enough wisdom to know how to context it all and properly respond. For me, that’s not today. I can only hope that someone in our sphere has such wisdom and will respond.

[7] The One-Second Grid (about twice the size of the earth). It seems that this kind of an infinitesimal grid has not been proposed heretofore. Frank Wilczek talks a bit about a grid, but he has not embraced the Notations 1-202 defined by planckspheres. Once one of our leading scholars embraces it, a critical review of this nascent model will begin, dark matter and dark energy will be defined, and I can get back to doing other things.

[8] Pi(π), her continuity-symmetry -harmony, is predictive, mathematical, geometrical, and logical. In one of these recent footnotes or endnotes, I said, “The ubiquity and versatility of pi (π) is giving us the first big clue. It is an archetypal form that embeds within everything as continuity, symmetry, and harmony.” The key words, archetypal form, may begin to involve some of our philosophers and theologians in this discussion, yet it is intended for the mathematicians of Langlands programs and string theories.

[9] The first million years. The grid can now be measured (approximated) for the first million years. It is a most-substantial 31.5+ trillion seconds in duration. Those experts in star-and-galaxy formation can begin filling in the blanks both the earlier processes as well as those going forward to our current observations from the JWST.

Refine it. It is collaboration time. Your ideas and thoughts are most welcomed.

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References & Resources
As these references are studied, more key references and resources could be added.

New Scientist, 6 September 2023

• Jon Butterworth (NS), Alex Keshavarzi, Clare Burrage, Surjeet Rajendran, Emily Adlam and Matt Strassler, Six ways we could finally find new physics beyond the standard model
• Abigail Beall, An alternative way to picture the standard model of particle physics
• Jon Cartwright, A brief history of the standard model, our theory of almost everything

Spatial variations of fundamental constants, John D. Barrow, Chris O’Toole, Monthly Notices of the Royal Astronomical Society, Volume 322, Issue 3, April 2001, Pages 585–588, https://doi.org/10.1046/j.1365-8711.2001.04157.x, 11 April 2001

Cosmic Star-Formation History, Piero Madau and Mark Dickinson, Annual Review of Astronomy and Astrophysics, Vol. 52:415-486 (August 2014) https://arxiv.org/abs/1403.0007 https://doi.org/10.1146/annurev-astro-081811-125615 Also, engage other articles that use the words, “cosmic-star formation.”

Bright, early galaxies surprise astronomers, Kelly Kizer Whitt, Earth-Sky, November 18, 2022

Thomas Kuhn,  The Structure of Scientific Revolutions, University of Chicago Press, 1962 The images from thge JWST change the rules of the game.

CTMC, continuous Markov chain, retrieved from Wikipedia on. September 3, 2023.

ArXiv: The brightest galaxies at Cosmic Dawn, C.Mason,  M. Trenti, T. Treu, Jan. 2023
…fast parameter forecasts from the cosmic 21-cm signal, Charlotte A. Mason, Julian B. Muñoz, Bradley Greig, Andrei Mesinger, Jaehong Park, December 2022 (updated July 2023)

Emails
There will be emails to many of our scholars about key points.

29 September 2023: Jon Butterworth, London
27 September 2023: Malcolm Fairbairn, London
26 September 2023: Timothy Revell, London
22 September 2023: Amina J. Mohammed, NYC, UN Deputy-Secretary, Chair, SDG
22 September 2023: Eric Weisstein, Champaign, IL
21 September 2023: Benjamin Guiot, Valparaiso (Chile), Newport News, and Nantes
18 September 2023: Alexey Milekhin, Fedor Popov UC-Santa Barbara, NYU
17 September 2023: Oscar Greenberg, U.Maryland, College Park
16 September 2023: Neil Turok, Edinburgh

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IM
There’ll also be instant messages to thought leaders about key points within this article:

10:04 AM · Sep 23, 2023 @vonderleyen (President, European Commission) I hope you are sending Vladimir Putin and Xi Jinping daily emails with off-ramps from Ukraine. They’ll listen to you, and not many others. For more, see: https://81018.com/vladimir/ and https://81018.com/marx/. We’ve all got to migrate from our little worldviews: https://81018.com/exquisite/

7:31 AM · Sep 23, 2023 @nasdaily (Amazing story) Congratulations on your 65M. Yet, I am with you on the 0. Nas Daily, huh. I’ll take a look…
Now look at you! Just too sweet. Wholesome. (Is that the word?)
Stay on track.
How? Get a view of the universe! https://81018.com/exquisite/ for continuity-symmetry-harmony.

7:15 AM · Sep 23, 2023 @melissakirsch (New York Times Culture) Your DVD recon sounds like you’re in my camp at 76. It’s humbling. Make it a game. Give it 8 minutes. The cosmic fabric lets it go when you’ve forgotten the context. https://81018.com/8-minutes/ Let’s break free of little worldviews and grapple with the universe.

11:31 AM · Sep 22, 2023 @hamdiulukaya (Founder/CEO, Chobani) We need a bigger picture —https://81018.com/sdg/ — to break through our narcissism and solipsism. We also need a more simple picture of our universe — https://81018.com/8-minutes/ — is an attempt at it.

11:31 AM · Sep 19, 2023 Larry Fink, @BlackRock Larry wrote to investors on Thursday, March 24, 2022. He also needed to write directly to Putin https://81018.com/vladimir/ and the heads of the global investment banks https://81018.com/finance/ and to the UN Security Council and UNESCO. https://81018.com might help.

3:47 PM · Sep 17, 2023 Stephanie Pappas @sipappas We followed the regression of tetrahedrons-within-octahedrons-within-tetrahedrons —https://81018.com/tot/ — back to the Planck base units, then used base-2 to come back out to the edges of the universe all in 202 steps. It’s a happening: https://81018.com/exquisite/

7:36 AM · Sep 14, 2023 Jade Tan-Holmes, Sydney, @UpandAtomDaily I thought your work on aperiodic tiling was sensational. So from the heart. Now, let’s look at a container universe whereby we find out why it all happens: https://81018.com/

6:04 PM · Sep 13, 2023 @nathanlump (Editor-in-chief) NatGeo’s brand is quality. The JWST’s findings are so radical, everyone is asking questions. Within that light, Nat Geo’s articles-videos need review. i.e. https://www.youtube.com/watch?v=HdPzOWlLrbE Which of you will be the first to embrace something new? Here’s a possibility: https://81018.com

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Participate

You are always invited.

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Keys to this page, exquisite

• This page became a homepage on September 23, 2023 at 3:23 PM
• The last update was in April 2025.
• This page was initiated on September 23, 2023.
• The URL for this file:  https://81018.com/exquisite/
• It is based on the prior homepage: https://81018.com/8-minutes/
• And, this homepage prior to it: https://81018.com/third-way/
• And, this homepage prior to that one: https://81018.com/jwst/
• The headline for this article: Touching Everything-Everywhere-for-all-time
• First teaser* is: An exquisite grid or matrix of infinitesimal spheres fills our universe

*Or, wicket, kicker or eyebrow.

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