**CENTER FOR PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY • GOALS** • October.19-20,.2019

**HOMEPAGES**: ASSUMPTIONS|DARK |HOME|INFINITY|Inflation | KEYS|REVIEW|Transformation

**A Common Ground Despite Radical Diversities**

###### by Bruce Camber (This is a first draft and it continues to be updated.)

Are there concepts that could possibly transcend all our diverse-and-sometimes-opposing points of view among all the people of this world?

Of course, along with many other people, I have long thought there were. Over the years I have turned to those scholars who work to understand the essence of this life and universe because I thought their concepts *just might* might help to make a difference in the way we understand ourselves and interact with others. Then one day we began discovering what might be common ground within our own simple work.

**In 1899 Max Planck came up with several compelling concepts**, but he was not able to sell them. Though rather novel, only a few scholars^{1} picked up on his numbers over the next 100 years. In 2001 Frank Wilczek^{2} began to pull those Planck numbers free from numerology,^{3} and the Planck’s units began getting more consistent attention. Today, science tends to recognize the place of the Planck units, i.e. their potential to become part of (1) an integrative theory about the nature of things, even a starting point for creation, and (2) the beginnings of complexity, a concept that helps us to understand the foundations of the sciences, mathematics, logic, and epistemology.

**Geometries**. Now, for a little perspective on our work, we were high school geometry people^{4} who in 2011 followed a very simple tetrahedral-octahedral complex ^{5} back 45 steps (halving at each step) down among elementary particles and then another 67 steps to the Planck scale.

Being rather naive about it all, we then decided to start with Planck’s base units and multiply by two (2). Sure enough, in 112 steps we were back in the classroom and in another 90 steps we were at the current expansion of the universe.^{6} We asked, “*Did we just encapsulate everything, everywhere, for all time?* …the entire universe in just 202 base-2 notations or doublings?

**The Chart**. Seemingly the beginning of a simple map of the universe using base-2 (doublings),^{7} the conceptual foundations of base-2 (exponential functions) were introduced to the world around 1740 by the Swiss mathematician, Leonhard Euler, yet it seems that we were the first to have taken base-2 to the 202nd power in context with the nature of creation, space, and time.

We had been unaware of the 1957 work by Kees Boeke in his private school, De Werkplaats, in Bilthoven, Holland. Boeke did his base-10 chart, *Cosmic View: The Universe in 40 Jumps*.^{8} Over time it became sensationally popular. Our chart is a bit different. First, we have our geometries. Second, we start with the Planck units. Third, we have a scale of the Planck’s units from the smallest units of space and time to the largest. Fourth, we have the current expansion of the universe within the 202nd notation. Fifth, our chart is 3.333+ times more granular than base-10. Sixth, we mimic so much of life’s natural doublings. And seventh, our base-2 chart has a built-in, all natural inflation.^{9}

That is quite a lot, but then, it really started to give us something about which to think:

**• Mathematical confirmation of the speed of light**. We discovered between the 143rd and 144th notation, a simple mathematical confirmation of the speed of light,^{10} that validated both the distance and the time units. That’s a key; it actually completes the logic. This chart has mathematical and conceptual wholeness.

**• Dark energy and dark matter defined**. Looking further, we observed the first 64 notations couldn’t be reached by CERN laboratories in Geneva, Switzerland or by the experts at the Max Planck Institute in Garching Germany; they hold the record^{11} for the shortest unit of measured time. Those first 64 notations are too short and too small to ever be measured by physical tools. So, what is all that aggregating mass and energy? A simple, logical conclusion: it is the impossible-to-find dark energy and dark matter.^{12} As we bring it into the light of day, I believe we will discover it is also our long-sought-for common ground.

*Granted, that’s rather radical for simple people using simple logic*. Yet, once opened for inquiry, this virtually unexplored domain of just over 64 notations looks like it can also give us the footings to create the bridge between quantum mechanics and general relativity. Here is a range for the Langlands programs and string theory to work it out. Not incompatible concepts but different faces of a common foundation, in the few transformations that precede the 67th notation, particles and waves are finally observed.

In 1999 when NATO gathered the leading scholars of structure formation, the Planck base units were still largely ignored. Nobody was asking, “What could be the earliest manifestation of the Planck base units?” For us, it was the only question worth trying to answer.

**• Space-time defined by spheres**. Looking around the scholarly world, it became obvious that we were unwittingly jumping on a bandwagon with Carlo Rovelli and Robert Muller who found space-and-time to be derivative, discrete and quantized. In our model, each notation builds on the prior notation(s). Each notation is part of the operational whole. Each is active and seemingly forever. Space and time are defined by pi (π), continuity, symmetry, and harmony. A simple circle, then a sphere, a nexus for transformations, all functions with qualities that describe (1) the infinite, (2) a finite-infinite bridge^{13}, and (3) an inherent quality of the finite itself.

Such a different perspective… then, we come full circle because profoundly inherent, within pi (π), space, time, continuity, symmetry and harmony are the foundations of ethics and aesthetics.^{14} Of course, altogether too simple for most, I know this will be a bit difficult sell. But, sell it we will. What are our options? …continue on the way we are going?

*More work to be done over the weekend, October 19-20, 2019… thank you for your patience.*

Some time ago, in one of my many statements online, I said it would be wise for science to be critical but attempt to respect the history of religious belief. Those beliefs just might have some deeper insights upon which to build. Given the Abrahamic faiths command the attention of over 57% of the world’s population (that includes Jews, Christians and Muslims as well as the Druze, Bahá’í and Rastafarians), an example of such critical respect could be this interpretation of the Genesis story^{15} which they, all the Abrahamics, all share.

**The antithesis of violence and nastiness**. In the face of hostility, there is symmetry and harmony as a foundational understanding of the very nature of who we are and how we are to be/have. Given all notations are always active, what we consider to be history is the active encoding on our universe. That is, we would conclude, that everything you say, do or think impacts the look and feel and quality of our little universe. You make a difference.

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It is refreshing to find people out on the web who are also shining their light in these seldom visited spaces and who are open and joyful in the process. If you, or anybody you know, have such a vision, please let us know! We would enjoy meeting you online. Thank you. –BEC

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## For more, go to these prior homepages:

**A Simple Model**– 12 points absorb the universe in 202 steps.**It’s been “top down” too long**. It’s time to build from the “bottom up”**Every concept**can be improved even if it seems complete unto itself**Transformations**– Cubic close packing, period doubling, Fourier transform**Questions, questions, and more questions**

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**Endnotes and Footnotes:**

(most heavily edited area of this work)

^{1 } **Scholars**: We are now aggregating all articles and papers about Max Planck’s base units prior to 2001.

To date, these are most substantial that we have found.

^{2 }**Frank Wilczek**: In his *Physics Today* article, “Scaling Mount Planck II: Base Camp,” Wilczek says: “*The strong and weak couplings equalize — at roughly the Planck scale! Planck, of course, knew of neither the strong nor the weak interaction, nor of quantum field theory and running couplings. The reappearance of his scale in this entirely new context confirms his intuition about the fundamental character of the Planck scale” *(fifth paragraph).

These are not coincidences. Numbers are numbers. Functions are functions. And, as well, our chart of numbers tells an important story of our time: “Here is a highly-integrated mathematical scaling of the universe.”

Academic openness and integrity should subject this new conceptual frame of reference to a rigorous analysis.

^{3} **2004 Nobel Laureate and the Planck numbers**: Wilczek’s three articles about the Planck base units in *Physics Today* stirred the pot; yet, when he received his Nobel Prize in 2004, all his writings took on a new vibrancy and importance. Wilczek became part of an elite group of celebrity physicists. His analysis of the Planck scale set these numbers apart in a most-special category.

^{4-5 }**High school geometry people**: Straying just a bit from the textbook, the teachers were fascinated with the way the octahedron and tetrahedron, two of Plato’s solids, were inextricably woven. Some of the students became equally fascinated. https://81018.com/home/ https://81018.com/tot/

^{6} **The chart**: Starting with Planck Length in December 2011, Planck Time was added three years later, and Mass and Charge were added in February 2015. Today’s working chart emerged in April 2016. It was our first horizontally-scrolled chart whereby any one of the Planck numbers could be readily tracked. https://81018.com/chart/

^{7} **Map of the Universe Using Base-2 or doublings**: Euler was a mathematician’s mathematician. He opened the way to infinitesimal calculus and a most-penetrating analysis of the infinite. We believe Euler will be instrumental in helping us interpret our charts. In 1988, 240 years after being published, one of Euler’s most seminal work, *Introductio in analysin infinitorum* (1748), was finally translated into English by John D. Blanton. We will be using an online translation by Ian Bruce. Of our 202 doublings, from the first notation to at least the 67th notation, could readily be considered infinitesimal. Our goal is to begin to understand the relation between the infinite and the infinitesimal, and we invite you on this journey with us.

^{8} **Kees Boeke’s base 10 work**. Here is a precedent for our work. In 1957 in a high school in Holland, headmaster Kees Boeke developed a wonderful teaching tool showing the relative sizes of things with his book, *Cosmic View: The Universe in 40 Jumps*. Within a short time, it had its champions and today it has become well-known through the world as an IMAX production and several online iterations. It appears that at no time did any scholar attempt to establish causal efficacy between successive notations.

*Using base-2, the challenge becomes apparent.*

^{9} **All Natural**. With the work of Alan Guth (MIT) and so many others in the astrophysics community, the rapid expansion and continued inflation of the universe had become a major issue and stumbling block. Causal efficacy is stretched and strained. In the 1999 conference on structures, the most-elite inner circle of of cosmology threw up their hands and said, “Let’s come up with a better theory.”

In our simple model a natural inflation is readily observed from the start. Several doubling mechanisms have been identified, however, the most-simple doubling, sphere stacking at the infinitesimal domains, could readily account for most all other doubling phenomenon.

This explanation is sweet because it is so simple.

^{10} **Speed of light**. Let us start a deep search of the literature that explore the first bandwidth of the first possible visible light within the 94-and-95th notations. The electromagnetic spectrum in some sense of the word extends from Notation 1 to 202. What is the source of that initial very, very small charge? Does each new sphere bring and equal charge and do the aggregate with each doubling? Within the chart of number, it is assumed so. Between the 143rd and 144th notations there is a mathematical confirmation of the speed of light.

^{11} **Measuring the speed of light**. The Max Planck Institute in Garching Germany holds the record for measuring the shortest interval of time.

References: https://81018.com/a84 https://81018.com/formulas/ https://81018.com/dark/

^{12} **Dark energy-matter**. Just look at the chart and observe the line for coulombs and the line for mass. Each notation “fills up” so the every notation has a percentage of dark energy and dark mass. *This would be the most simple explanation for dark energy and dark matter*. A science writer was complaining, “I’m the only one who doesn’t have a dark energy and dark matter theory.” So, I wrote to her and said she would be most welcome to adopt ours as her own. You would be welcomed to do the same!

^{13} Bridge Finite-Infinite-Divide: Not often discussed, a Google search in October 2019 with delimiter quotes rendered just 674 results, most referring to a May 24, 2016 article in Quanta Magazine. By using the word, *bridge*, as a noun, i.e. the “Finite-Infinite Bridge,” Google pulled up just six results of which three are from this work. The next article for this site will use both expressions in the title and subtitle.

## Please send along your comments or questions:

Editor’s Notes: This area will remain dynamic until 2020.

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## References, research, and resources:

- Set Theory
- Zermelo-Fraenkel Set Theory
- Future Summary, Wilczek
*Ars Conjectandi*- Twelvefold way
- The zeta function
- Euler’s formula
Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory, Meer Ashwinkumar, Meng-Chwan Tan

Quantum q-Langlands Correspondence Mina Aganagic, Edward Frenkel, Andrei Okounkov

- 2007 – No time – Rovelli as seen in Disccover magazine