New ideas that become key concepts usually start as a simple idea.

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On creating a place to study the 202 base-2 notations
Those 202 base-2 notations need to be more deeply and widely researched.
by Bruce E. Camber (a first draft)

Abstract. Conceptually, 202 base-2 notations mathematically and geometrically encapsulate the universe. There is no other mathematical model that actively defines our universe quite so simply. Since December 2011, we’ve been studying the mathematical and geometric potentials within this model. Although we started innocently and naively, but quickly learned that we were doing original research, blazing a new path; and though exciting, it was also confusing. It was idiosyncratic and we were just high school teachers doing simple geometries (. ), so we’ve turned to scholars for help through letters, emails, instant messages, and an occasional visit. We actually had hoped that one of these scholars within academia (. ) would say, “Been there, done that, and here’s why it is wrong,” but, nobody has.

After ten years of study and many emails1 we have concluded that there is something right about these charts of the universe that we’ve created over the years. Our goal now is to evaluate the differences between the facts and our guesses.2

The Planck Scale.
The 202 base-2 notations create a dynamic grid. The first 64 of the 202 notations start at the Planck scale and go up to just below the scale for quantum fluctuations and particles-and-waves where the Standard Model begins. There are legions of scholars within specialized studies with well-defined domains of consistent information but they’re not on this grid. That list includes Langlands programs, string and M-theory, SUSY, and hypothetical particles.3

Further, many specialized mathematical studies are also off the grid; there has been no coherent, integrative model to help them. See:

Base-2 from the Planck base units to particle physics is a basic container within which to begin to figure out how to integrate these studies. Those first 64 notations are necessarily hypostatic, the mathematical foundations of the foundations. It is a challenge that begs people to hold back judgments of the unknown and to make thoughtful time to entertain the potential of a domain defined by no less than 64 base-2 notations, all well-below direct measurements. New conjectures have to go substantially beyond our current work. As stated in earlier posts, I believe it would be good to generate at least three articles for ArXiv about the 202 notations and that we should ask multiple authors with long ArXiv histories to help craft each properly.

The net-net.
1. The 202 notations are given a chance to become an intellectual reality within some part of our scholarly community. After all, that container is already a mathematical and logical reality. Once the 202 notations are recognized, we believe essential paradigms. — will begin to shift.

Our chart of numbers — — is more right than wrong.

2. STEM: The 202 notations simplify one’s view of the universe by interconnecting everything, everywhere for all time. It is a penultimate teaching tool that inspires creative thinking within a well-defined container with a multiplicity of possibilities.

Our working document — — I believe is more right than wrong.

3. Fluctuations. If the two most simple gaps, currently referred to as a five-tetrahedral gap or a five-octahedral gap, can be definitively related to structures and functions within quantum theory, it will deepen our grasp of the very nature of quantum fluctuations and will have an impact on quantum computing. I believe quantum fluctuations are a product of the geometry of the gap. If so, that’s a revolution. It’ll be like sand thrown under our wheels to keep them from spinning. If we are able to stop some wheels from spinning, new directions will open.

Geometries may well be just as important as the numbers —


Here we believe there will be new functions and structures with which to work. We will be researching space-time beginning at the Planck scale. We will be engaging infinitesimal, primordial spheres. We’ll learn the nature of the first “particles” — — and so much more.

Open the Standard Model. A long-term goal is to define places on the 202 notational grid for major studies including Langlands programs, string and M-theory, SUSY, hypothetical particles, causal set theory (CST), causal dynamical triangulation (CDT), scalar field theory (SFT),  spectral standard model (II, III)  and loop quantum gravity (LQG). The Standard Model is re-opened for geometries and any and all studies looking for a place on the grid. Our conjecture is that every study will be included.

Short Term. We have five short-term goals:
(1) Explore Notation-0 and Notation-1 as another plausible start of the universe whereby people engage an encapsulated universe defined by all 202 active base-2 notations.
(2) Further engage those scholars currently doing thought experiments within the domain from the smallest Planck scale up to particle-wave duality to explore their questions and answers about the Planck base units. There are many such scholars-researchers.
(3) Answer the key question, “How might these units become the start of the universe?
(4) Focus on the infinitesimal, primordial sphere as the first manifestation of space-time.
(5) Further research sphere stacking, especially cubic-close packing of equal spheres and the dynamics with the Fourier transform and the role of attractors and repellers (Smale & Milnor).

All five may result in new, highly-strategic insights about the nature of things.

The 202 Notations are understood to be a very plausible reality. To date we have relied on the work of many scholars for insight. A few of these scholars share some of our insights: Stephon Alexander of Providence (Rhode Island, Brown University), Espen Garner Haug of Norway, Tim Palmer of Oxford, and Xijia Wang of China. The work of scholars who research the first instants of the universe, especially the work regarding the Planck base units, are key.

Scholars in the USA who work between particle-wave boundary of quantum fluctuations and the Planck scale include some of our most rigorous scholars. I would also include work by people like Monika Schleier-Smith and her lab at Stanford. They recognize the boundaries of entanglement by attempting to correlate quantum systems to phases of matter found in nature. That work may be specifically correlated within actual notations out of our 202 base-2 notations. 

Other work could add most-valuable parameters. At Santa Barbara’s Kavli Institute there is a range of research being done between the Planck scale and particles-waves. Key research by Isabel Garcia-Garcia and David Gross (with his long legacy with the Solvay lectures) may well open new paths. And, we will continue to explore for possible correlations with those first 64 notations.

The people of the Simons Foundation have frequent insights about foundations of science. Their writers within Quanta Magazine are constantly on the edge of research. Their own work within the Flatiron Institute, SUNY-Stony Brook Simons Center for Geometry and Physics, and their Qubit collaborations all hold new keys.

Of all the dimensionless constants, pi is most senior and most ubiquitous. It is the core of continuity, symmetry, and harmony which redefines the finite-infinite and the quantitative-qualitative. We can better understand spin, bonding, and attractorsrepellers.

There will be a thrust to communicate results to the world’s people. Growing relations with NIST and the ISO network, and with key science communicators around the world will facilitate.

All the scholars whose work is being analyzed will be the first to begin to communicate this model to others. These are all people who have the greatest motivation to understand a very idiosyncratic view of the universe. They will also all be the initial group of interpreters of that view of the universe. A very large second group of people will be all the professors and their extended groups of support people, the professional science writers, and the undergraduates, graduates, and postdocs (who will be adjusting current research). And, the third group will be the general population. To drop our limited worldviews will not be easy for most people. To engage an integrated universe view, however, will be liberating. To see the universe in 202 notations will be fun. All information will become approachable and ordered. Our experience in our high school classes and a sixth grade class showed us a relatively-fast adoption curve.

The original team will be immediately expanded with those scholars in the USA whose published ArXiv articles have been used within our work and with whom we have been in communication over the years. -BEC


Endnotes & Footnotes

[1] Emails. Very early in our quest, we realized that email was no longer respected like it had been. It seemed that email from an “unknown” was either ignored or blocked. These were not “email blasts.” I had genuine questions based on that person’s scholarly work. Yet, admittedly I sent so many, it was easy to get confused. So, I began gathering up those references by the scholar, particularly those that intrigued me, and placed them on a page with my notes below. It was to be a memory aid. Slowly my “/alphabetical/” page emerged. Now, it is more than a memory jog for me. Every tweet and every email, is about key issues for these times. We can no longer be cavalier about our constructs. What you believe really makes a difference within our world and this universe. -BEC

[2] Facts & Guesses. The 202 base-2 notations are not a guess. It’s simple math and geometry. It has a logic structure that defines at least 64 notations that science heretofore has not considered. It is a simple, but extraordinarily challenging concept.

Pi is not a guess. It is the oldest, most-widely used, mathematical equation, yet the very essence of pi is summarily ignored as if Richard Feynman’s 1964 summation was the final word (See the Krulwich NPR 63-second summary). It is not an experiment and it is not wrong.

The sphere is not a guess, it is the most simple object in geometry. Scale invariance is not a guess; we see it everywhere. It is not an experiment and it is not wrong.

Yet, space, time and infinity are all a guess and we just love to argue and guess about the nature of each. What were once our presuppositions have now become a checklist; so, of course, there is more to come. Think about the qualities of infinity, spheres, and pi, as well as particles and hypothetical particles. Many specialized mathematical studies will soon have a place to interconnect to everything everywhere.

[3] Hypothetical particles. Wikipedia, List of particles, Retrieved 7 June 2022)

There’ll be more to come…. Simons Foundation, Flatiron Institute, SUNY-Stony Brook Simons Center for Geometry and Physics, Qubit collaborations, Solvay lectures


References & Resources

•  Wikipedia, List of fictional elements, materials, isotopes and subatomic particles, 2022

• Quantum fluctuating geometries and the information paradox (PDF), Rodolfo Gambini, Rodrigo Eyheralde, Miguel Campiglia, Jorge Pullin, 2017

• What every physicist should know about string theory, Ed Witten, Physics Today, 68, 11, 38 (2015)

•  John Willard Milnor (1985). “On the concept of attractor”. Communications in Mathematical Physics99 (2): 177–195. doi:10.1007/BF01212280S2CID 120688149.

•  John Willard Milnor is one of the five mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize (the others being SerreThompsonDeligne, and Margulis.)

•  Bell’s Theorem, Non-Computability and Conformal Cyclic Cosmology: A Top-Down Approach to Quantum Gravity, T.N. Palmer, arXiv:2108.10902, August 2021



• Dharam Vir Ahluwalia, Center for the Studies of the Glass Bead Game, June 7, 2022
• Johannes Buchner, June 5, 2022
• David J. Gross, Kavli Institute, University of California at Santa Barbara, June 5, 2022
• Espen Gaarder HaugNorwegian University of Life Sciences (NMBU), May 24, 2022
• Paola Zizzi, University of Padua, June 5, 2022 @ 4:24 PM
• National Science Foundation, Washington, DC, May 31, 2022
• Monika Schleier-Smith, Stanford University, May 30, 2022
• Matthew J. Strassler, June 6, 2022

There are many more to add….



More messages to follow in July 2022

10:08 PM · Jun 11, 2022 @Pontifex You say, “Abba. Father.” To give those comments deeper credibility, we need to steer people beyond limited worldviews and to a highly-integrated view of the universe. The simplest is base-2 from Planck units till today: for more.

8:08 AM · Jun 9, 2022 @7homaslin @nattyover Congrats. You all have been doing sensational work for ten years. Natalie has been excellent, but many others are as well. I’ve written a letter to you here — The top of that page is my tribute to the magazine and to Simons people.

2:57 PM · Jun 8, 2022 @CSRDay An email and a tweet in one day! Please forgive my exuberance, but I had backed into our page about your work here — and just had to write a year to the day since the last time! We are making a little progress.

3:00 PM · Jun 6, 2022, @MattStrassler Can you help us unfold this base-2 chart of the universe: The current homepage is always my latest struggle with it all:



The world is increasingly nihilistic. Many parts of it are dystopian. We all need to do something. We are preparing special pages so virtually anyone can become a teacher of an integrated view of the universe whereby we all begin to understand as profoundly as possible that what we do each and every moment effects the quality of life within this universe.

This is a key document. Click on the “Back Arrow” or “Left Arrow” at the top of this page to go back to three or four other key documents. If you agree and you will begin to teach others about this integrated view of the universe, we will list you within our soon to-be-added “Teachers” page. Thank you.


Keys to this page, idea

• This page became the homepage on Saturday, June 11, 2022
• The last update was Sunday, June 30, 2022.
• The URL for this file is
• The headline for this article: On creating a place to study the 202 base-2 notations
• First byline is: New ideas that become key concepts usually start as a simple idea.


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