**CENTER FOR PERFECTION STUDIES**: CONTINUITY•SYMMETRY•HARMONY. GOALS.MARCH.2021

**PAGES**:.ALTERNATIVE.|.DARK.|.CHINESE |.MISTAKES.|.PHILOSOPHY.|. PI (π).|.RELATIONS.|.TIME.UP

**PRIOR POST**:.CLAIMS.|.**ENDNOTES**.| **FOOTNOTES**.|.REFERENCES |. EMAILS.| TWEETS | **Zzzzs**

First instance of the universe is still “in process.”

Pi (π) Shapes Our Universe

A Cold-Start becomes “QGP-Hot”

A Most-Simple Assist for Lemaître-Hawking-Guth Cosmology

by Bruce E. Camber Pi Postulations & More analysis

**ABSTRACT**

A different start of the universe is postulated so basic structure could be analyzed in light of the Planck base units. Can the most basic forms and functions within science logically and systematically unfold? (1).Here, the.progenitor of the circle and sphere, pi (π), has a pivotal role as one of our earliest working equations. (2).Pi.comes out of the seminal concepts of continuity, symmetry and harmony, simple perfections. (3).Spheres come alive and there is a rate of expansion. (4).Building on such concepts, Kepler and others give us sphere stacking and cubic-close packing of equal spheres. (5).Joseph.Fourier’s work on basic transformations (circa 1822) expands our understanding of pi and periodicity. (6) Our initial value formulation used the 1899 logic of Max Planck’s natural base units of length, time, mass and charge; these four numbers and all the dimensionless constants used to define them are fundamental. (7).To.create.order out of such a large number of spheres within the infinitesimal, we apply Euler’s base-2 notation. From PlanckTime to this day, there are just 202 notations. (8).The.first.64 notations are below the thresholds of direct measurements. In this model, these first 64 of the 202 are most foundational (superconductingly cold). (9).This.is my laboratory for explorations. (10).Here let us engage causal set theory, causal dynamical triangulation, string theory, Langlands programs and so many other logically-constructed environments, too small to be measured, i.e. within the first 64 notations of this mathematical laboratory. -BEC

1. **INTRODUCTION **

The infinitely-hot start of the big bang theory has key unanswered questions. In his 1927 reflections, Georges Lemaître advocated a cold-start, yet, by 1931 he had changed his mind and is now known for a rather-hot start. Max Planck’s 1899 calculation for Planck Temperature may have had something to do with that change, yet any explanation for this fundamental shift by Lemaître has yet to be discovered. [1] If Lemaître’s cold start had been adopted, I believe the fundamentality of pi would have been entertained in that process. Pi is a numerically-rich, universally-engaged, geometric, dimensionless constant; it is never-ending, never-repeating, invariant, irrational, and transcendental. These qualities are necessarily among the most fundamental processes that define our universe. The basic structure of the most-fundamental things tends to be spherical where the role of pi is pivotal. Herein, the hope of this article is to encourage a deeper analysis of the role of pi in shaping the first instant of the earliest universe.

Please note: We continue to build on this 2021 Pi Day article — https://81018.com/challenge/ Green Wall

**2. CONTINUITY, SYMMETRY & HARMONY**

Scale invariant, pi renders the qualities of continuity, symmetry, and harmony. First, there is the continuity of the never-ending and never-repeating numbers; there is also the continuity of all other dimensionless constants involved. Symmetry analysis begins within one of the five fundamental symmetry classes — dihedral, cyclic, tetrahedral, octahedral, and icosahedral. Each is a setting within which the dimensionless constants shape space-time, and mass-charge. Also, we assume Leibniz law of continuity and his transcendental law of homogeneity. The finite-infinite relation is a constant dynamic.

Harmonies of motion, symmetries extended through space-time, are described by the Fourier transforms. It is a new order and value for all numbers; everything-everywhere-for-all-time has deep-seated, dimensionless, dynamic relations. Subjects and objects are derivative and the relations are primarily real. The first dynamic moment is the face of continuity-symmetry-harmony and it captures the very nature of space-time, mass-charge, and electromagnetism-gravity. These fundamental expressions of reality are each Janus-faced, then each to the other.

Continuity, symmetry and harmony are conceptual words with exacting meanings within the infinitesimal scale. These words also are generalized observations that are applicable within 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.[2]

**3. OUR UNIVERSE COMES ALIVE –** **THE PLANCK SPHERE***

The “*first manifestation of thingness*” is the very first instance of space-and-time and mass-and-charge. These four faces of light are the fundamental shape within our universe and PlanckTime sets approximates an initial rate of expansion.

We had learned how the tetrahedron is derivative of the sphere, and that spheres stack and discover each other. A simple graphic helped us to grasp that phenomenon (below).

PlanckTime has been said to be the time it takes light to travel one PlanckLength. Here it is assumed to be *one PlanckSphere* per PlanckSecond* (a unit of PlanckTime). Here the very nature of light renders Planck’s calculation of a natural unit of time which is 5.39116×10^{−44} seconds. A simple calculation gives us a rate of expansion of 539.116 tredecillion planckspheres per second.**

Using base-2 to group those spheres, we find just 202 notations from PlanckTime to the current time. The more we engaged these numbers, the more every notation comes alive, fully interdependent with the others. The first 64 notations as such are relatively unknown and have hardly been explored. Those 64 notations are below the reaches of our measuring devices and most methodologies.

**Quark-Gluon Plasma**. For perspective, by Notation-136 the energy densities and temperatures are high enough for the Quark-Gluon Plasma (QGP) processes to begin. The numbers are there within our chart. The first second of the universe emerges between Notations-143-and-144. Each notation is being defined by a Planck-base unit multiple, by prior notations, and then by each subsequent notation.

Thinking about Lemaître’s primeval atom, Wheeler’s geon, and Pati-and-Salam’s preon, with the introduction of the first 64 notations, these can no longer be considered “point interactions” with no known extension. By the 64th notation, concepts like the preon and geon will have deep, rich textures and many extensions.

To help make the shift from the infinitely-hot Big Bang theory to include a Cold-Start UniverseView, consider this comparison, a simple chart. If so defined and understood, the PlanckSphere becomes the most essential, foundational unit that begins to quantize our universe. It provides immediate insights into the *raison d’être* and the very nature of homogeneity and isotropy, which taken as a whole is the aether, and measured as an effect, is dark matter and dark energy. [3]

* **PlanckSphere**: Not formally recognized, there are nevertheless many references to the word, Plancksphere, on the web (and within ArXiv).

** If this model is anywhere close to correct, this expansion of our universe is, for most people, a very different image, second-by-second. Consider the simple calculations:

• 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 is equal to: 2.35117694×10^{15}

• Add the eight zeros from seconds and 39 zeroes from the planckspheres per second

• Estimated total number of planckspheres in the universe: 2.35117694×10^{62} planckspheres

4. **SPHERE STACKING & CUBIC-CLOSE PACKING OF EQUAL SPHERES**

To review, although orders-of-magnitude smaller than an atom or any known particle such as the neutrino, that very-first infinitesimal sphere, is always “never-ending, never-repeating, *always the same and forever changing*.” Along with the inherent qualities of all other dimensionless constants, the very nature of continuity is redefined. It is a new order and value for all numbers; everything-everywhere-for-all-time has many dynamic relations.

Here, subjects-and-objects are derivative and the relations become primarily real.

That first dynamic moment is the face of continuity; it captures the very nature of time, space, mass and charge, and the first thing that happens is the spheres necessarily stack and begin creating dynamic relations. The earliest stacking is best described by cubic-close packing of equal spheres. Structure builds on structure.

Symmetry brings balance and stability and knowingness to values of continuity. [4]

5. **THE FOURIER TRANSFORMS OPEN THE DYNAMICS OF HARMONY**

Harmony opens the richest dynamics of the universe and of life.

Another quality of the sphere dynamics is a range of harmonies, Fourier pairs, symmetries in motion, each creating a space-time moment defined by the Planck base units, dimensionless constants, and a rich variegation of numbers. There are many faces and forms of the Fourier Transform. To associate these with the infinitesimal universe will empower many new insights about the nature of things and the very nature of life. *More to come*…

The three primary facets of pi and of life — continuity, symmetry, and harmony — are the definition of the essential structure of the sphere which ultimately give rise to the very structures of our little universe and the deepest nature of both the finite and the infinite. I believe these three qualities define a perfection and a perfected state within space-time. Within the earliest notations there is a *thrust of perfection*. There is no room or time for imperfections. [5]

6. **THE FOUR PLANCK BASE UNITS AND PI**

That first instant, defined by Planck’s four base units, are all so small, the first sphere is necessarily cold. From where would heat be generated? As each notation incorporates more units of Planck Charge – Planck Mass, there is a progression of forms, structures, substances, qualities, and systems. The initial guess is that systems begin to emerge around Notation-50 and one of the systems is the Mind. Here may be the first manifestation of what might be called ontic fluctuations, well prior to physical measurements, yet mental events that are not perfect, but discontinuous, asymmetrical, and not harmonious. What will be known as quantum fluctuations become measurable within Notation-64 to Notation-67. Of course, quantum fluctuations are not measurable until the advent of measuring devices within Notation-202. Thus, there is a domain of perfection from Notation-1 to those notations when and where ontic fluctuations begin. Yes, aspects of that perfection — continuity, symmetry, and harmony — are extended throughout the 202 base-2 notations that encapsulate everything, everywhere for all time.

**This model is primarily about the infinitesimal universe**. From the first instance with Notation-1 to Notation-144 includes the first second. The first year is within Notation-169, the first 1000 years is within Notation-179, the first million years is in Notation-189, and the first billion years is in Notation-199.

Today, Notation-1 to Notation-201 are fully symmetrical. Notation-202 contains the current time and will do so for another 7.9 billion years. Notation-202 is 10.89 billion years in duration. The sum total of all durations up to Notation-202 is also approximately 10.89 billion years. A simple calculation tells us that only a total of about 2.9 billion years of Notation-202 has been filed. There is what appears to be a* flow of time* experienced as *time’s arrow*. Within this model there is only one time, the Now. Our hypothesis is that the uniqueness of any moment-and-day is recompiled within the larger universe every time there is sleep. Of course, such a statement will be more deeply analyzed.[6]

7.** BASE-2 NOTATION AND EULER’S EXPONENTIATION **

To organize all this simple data — pi, spheres, continuity-symmetry-harmony, sphere stacking, cubic-close packing, the Fourier Transform, and an expansion rate of 539.116 tredecillion planckspheres per second — required a simple tool. Such a tool, introduced by Leonhard Euler in the 1700’s, is base-2 exponentiation. Those 539.116 tredecillion plancksphere (per seconds) could fill a circle slightly larger than the current low-earth, orbital paths, yet have a density of a neutron star that is orders of magnitude greater than the mass of the sun. If you can imagine that is happening every second, you have an image of a possible expansion of this universe.

The densities between Notation-2 and Notation 144 are unlike anything we can intuit. It would seem that such densities necessitate that the most simple symmetries emerge first. Nothing is by chance alone. No college course today imagines how symmetry groups flow within such densities and how cubic-close packing (ccp) occurs. We ask, “Do lines, tetrahedrons and octahedrons flow naturally within such density?” We are in search of scholars within the neutron-star disciplines who can help with these issues. [7]

8.** THRESHOLDS OF MEASUREMENT **

Although not formally named by NIST, CODATA, BIPM, ISO or any other international governing body for scientific naming and standards, some refer* to that very first spherical unit as a PlanckSphere (10^{−44}). There are six infinitesimal ranges that are yet to be named: 10^{−27}, 10^{−30}, 10^{−33}, 10^{−36}, 10^{−39 }and 10^{−42}. The 10^{−42} group includes 10^{−44} where that unit of time is currently informally referred as the PlanckSecond. Reference: https://81018.com/codata/

Here Notation-1 through to Notation-64 (9.945379×10^{-25}seconds) have no common name for time by which each is known. A naming convention has not been convened since 1991.** That’s a statement. This part of the scientific identity *de facto* has been deemed to be secondary, yet these may be the numbers necessary for deeper considerations of the proper definitions of dark matter and dark energy. Although dark matter and dark energy can be indirectly measured and we’ve known of their existence perhaps since Lord Kelvin (1884 lecture) or Poincare (1906 lecture), our lack of names for the infinitesimal does not facilitate discussion. We have reservoirs of infinitesimal data to couple with the growing reservoirs from large-scale CMB data. Names for these domains would help. So, as a result, we have become advocates that these high commissions name these six sets of numbers. [8]

* As of February 20, 2021, there are 1,420 online references to the “*PlanckSphere*.” Quotes are used to limit the search.

** Guide for the Use of the International System of Units (SI), Ambler Thompson and Barry N. Taylor, NIST Special Publication 811 2008 Edition, See Section 4.3, *Decimal multiples and sub-multiples of SI units: SI prefixes*, Table 5, p 7 PDF URL: https://physics.nist.gov/cuu/pdf/sp811.pdf

9. **OUR “NEW” LABORATORY OPENED IN 2016 **

This lab will be more than an advocate for the clear recognition of this infinitesimal universe; it will be constantly refining our views of it. For example, we will continue to refine the work we did for the NASA SpaceApp innovation program to define a clock for the universe. We will continue to refine the horizontally-scrolled Chart of the Universe and our UniverseTable. But most importantly, we will continue to develop our understanding of the first 64 notations to bring dark energy and dark matter into the light. We will continue our understanding of how it all defines a new aether and renders a structure of homogeneity and isotropy. Yes, continuity-symmetry-harmony are three facets of any given moment and these lay the foundations for the expansion of the universe, the very nature of value, and the beginnings of economic theory. Some of our most important work will be interpreting this model as a value structure that inculcates aesthetics, ethics, morals, purpose and values.

**Continuity is the beginning of value**. Think of gold and silver coins and things made of these precious metals. 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. Each establishes standards for the best of what is. It is not unpredictable. It transcends time (as it creates time).

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.

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 and enriched. There is a sense of a deep harmony and joy. The values created are experienced and affirmed, and life is good. These are valuations that we yearn and strive for; and though seemingly illusive, they are everywhere, and always just a bit deeper within. Harmony opens the richest dynamics of life. [9]

**10. Strings, Langlands, causal set theory, causal dynamical triangulation…**

Empowered by concepts at the edges of our knowledge, here our students will engage causal dynamical triangulation, causal set theory, scalar field theory, loop quantum gravity, string theory, Langlands programs, Spectral Standard Model… the cutting edge of research of the very nature of our universe. We’ll also begin to grasp the very nature of value. Returning to these roots to go over it just one more time, we want to see what we have missed in order to give us a more-complete picture of the structure of our emergent universe. Our three most general concepts — continuity-symmetry-harmony — render space-time and mass-charge as the Janus face of each other. Here, too, we believe that we’ll begin to grasp how it is that electromagnetism and gravity have also been yoked through the Fourier transforms. [10]

Our list of naive claim*s* continues to grow and so this commentary will also grow.

**SUMMARY**

Does pi have a role within emergence, especially the first moments and seconds of the universe?

Max Planck’s base units were ostensibly ignored for over 100 years. Today, we recognize their reality but those numbers radically change with just these four working assumptions:

- The four Planck base units manifest as a basic building block, an infinitesimal sphere many orders of magnitude smaller than a neutrino (64 base-2 notations). It is the first moment of spacetime.
- This sphere is also defined by pi and other dimensionless constants, then further defined by cubic-close packing of equal spheres and the Fourier Transform.
- Planck Time, 5.391 16(13)×10
^{-44} seconds, defines a rate of expansion, one PlanckSphere per PlanckSecond renders 539.116 tredecillion units per second. - Apply base-2 to that expansion; and, all those spheres and the universe are encapsulated within 202 notations. The first 64 are below the reaches of our measuring devices. Notation-1, the first moment in time, is that first sphere. The current time is within Notation-202. Those notations encapsulate everything, everywhere, for all time and our chart of those numbers provide a map to understand our universe.

We can begin to learn about a new aether, dark energy and dark matter, and the basis of homogeneity and isotropy which ultimately will help mitigate our inherent proclivity toward solipsism.

For Pi Day: https://81018.com/challenge/

**CONCLUSION**

The three primary facets of pi and of life — continuity, symmetry, and harmony — are the definition of the essential structure of the sphere, which ultimately give rise to the very structures of our little universe. It all starts superconductingly cold. Yes, and, these facets manifest the deepest nature of the finite and the infinite.

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Footnotes (To return, click on the number inside the brackets.)

[1] **Lemaître, Georges, 1927**

• Aguirre, Anthony N. (10 April 2000). “The Cosmic Background Radiation in a Cold Big Bang”, *The Astrophysical Journal*. **533** (1): 1–18. Bibcode:2000ApJ…533….1A. doi:10.1086/308660. ArXiv.

• D. Layzer and R. Hively, “Origin of the Microwave Background“, Astrophys. J.179, 361 (1973).[30] Ya. B. Zel’Dovich, Adv. Astron. Astrophys.3, 241(1965)

• Odenwald, Sten, Quantum Physics, Knowledge in a nutshell, Arcturus Publishing Limited, 2020

• P.J.E. Peebles and R. B. Partridge, Finding The Radiation from the Big Bang (PDF), January 9, 2007 (Note: 341 pages can be slow loading. -BEC)0

• Simon D.M. White, Cold Dark Matter paradigm,

[2] **Continuity**, Symmetry & Harmony (at the top of most every homepage)

• Dihedral, cyclic, tetrahedral, octahedral, and icosahedral

• Law of continuity

• Transcendental law of homogeneity

[3] “**PlanckSphere**” (or “Planck Sphere“): An unofficial word with a limited history — as of 23 February 2021, there were just 210 (or 1420) Wikipedia references. Until there is formal recognition of the word by some official international agency for naming conventions, we will attempt to update this footnote as often as possible. The concept of a most basic unit of the universe defined by something like Planck’s base units is essential. Planck’s base units have gained a level-and-status within the academic and scientific communities, many related words have followed. To date, there are no agreements about how these four Planck base units might manifest. Of the 1420 postings using the word, Planck Sphere, there is a wide range of implied definitions. We’ll continue our studies of the usage and update this footnote appropriately.

[4] **Sphere stacking and packing: Cubic close-packing of equal spheres**.

• Johannes Kepler, ** ****Harmonices Mundi**, Linz, 1619

• Thomas Hales, ** ****A** proof of the Kepler conjecture, Annals of Math. 162 (2005), no. 3, 1065–1185

• Maryna Viazovska, The sphere packing problem in dimension 8, (PDF)

• Jeffrey C. Lagarias and Chuanming Zong, *Mysteries in Packing Regular Tetrahedra* (PDF), AMS, Volume 59, Number 11, pp 1540-549 December 12, 2012

**NOTE**: Spheres, sphere stacking, and sphere packing have been profoundly studied. For our purposes, the two most important dynamics are (1) The dynamic image of spheres generating triangles, tetrahedrons, and then octahedrons and (2) dynamic images of the Fourier Transform. Both are derivative of pi.

[5] All things Fourier – symmetries in motion:

• The role of symmetry in fundamental physics, David J. Gross, PNAS, December 10, 1996 93 (25) 14256-14259; https://doi.org/10.1073/pnas.93.25.14256

• Fourier pairs: Grasping essential relations and dynamics

[6] Planck’s four base units: *Three new roads to the Planck scale*, Valerio Faraoni (Physics Department, Bishop’s University, 2600 College Street, Sherbrooke, Québec J1M 1Z7, Canada), American Journal of Physics, 85, 865 (2017); https://doi.org/10.1119/1.4994804 https://aapt.scitation.org/doi/10.1119/1.4994804

[7] Base-2 exponentiation and Euler: This project got its start unwittingly doing a base-2 progression from a classroom tetrahedron inside the smaller octahedron within it, then into 112 successive steps back inside smaller and smaller octahedrons and tetrahedrons. We learned base-2 through geometry. It is how we learned about Euler and exponentiation. It was just a few months after that fateful day in class, December 19, 2011, when we began that I posted this article in Wikipedia. I was sure that our chart was already a STEM tool on the web somewhere, developed by different people, and that we only needed to find each other and pull our concepts together. It took four years to feel assured that we were outliers who had a very idiosyncratic view of cosmology.

[8] The Thresholds of Measurement: Since 2011 two measurement records for a unit of time have been broken by the Max-Planck-Institut für Quantenoptik in Garching, Germany. Prof. Dr. Ferenc Krausz group was able to measure an attosecond (10^{-18} seconds), then a femtosecond (10^{−15}) and most recently a zeptosecond** **(10^{−21}). It is still a long way to go to the Plancksecond 10^{−44}). A hopeful glimmer on the horizon is the work of three doctoral candidates, Andrea Di Biagio (La Sapienza), Marios Christodoulou (Oxford), Pierre Martin-Dussaud (Aix-Marseille Univ, Université de Toulon) who are trying to formulate an experimental environment to determine time sequences as short as the shortest, the Plancksecond. They will also determine if time is ultimately discrete and digital.

[9] A Laboratory for the Infinitesimal: Three keys of the infinitesimal have not been explored:

• The very first notation that is still generating *one Plancksphere per Plancksecond*

• A domain of perfection from the first notation, perhaps to at least through Notation-50

• A domain for the Mind and for Systems, perhaps from Notation-50 to Notation-60

• Going back in time: Our earliest explorations (2011-2012)

[10] **Out on the edges of our knowledge**:

• **Causal dynamical triangulation**: “…theorized by Renate Loll, Jan Ambjørn and Jerzy Jurkiewicz, and popularized by Fotini Markopoulou and Lee Smolin, is an approach to quantum gravity that like loop quantum gravity is background independent.”

• **Causal set theory**: David P. Rideout, **David Malament**, Graham Brightwell, Ruth Gregory. *Space-time as a causal set*, Rafael Sorkin, Luca Bombelli, Joohan Lee, David Meyer (1987) See also: Nick Huggett, **James Owen Weatherall** and **Christian Wüthrich**.

• Scalar field theory: Michael Peskin, Pierre Ramond

• Loop Quantum Gravity: Abhay Ashtekar, Carlo Rovelli, Jorge Pullin and Jerzy Lewandowski, Francesca Vidotto, Israel Gelfand, Mark Naimark, and Irving Segal

• **String theory** and superstring theory: Witten, Dean Rickles

• **Langlands programs**: Emil Artin, Ngô Bảo Châu, Vladimir Drinfeld, Edward Frenkel [1], Stephen Gelbart, Robert Langlands [1], Laurent Lafforgue, Vincent Lafforgue, Gérard Laumon, Michael Rapoport, Andrew Wiles

• **Spectral Standard Model**: Ali H.Chamseddine, Alain Connes, W.D. van Suijlekom

Note: No page on this site is ever truly ready or complete. There are still just too many blanks to fill-in. Thank you for your understanding. The next page being developed is about the 539 tredecillion plancksphere per second. It will be building on this page as well as an earlier page about expansion.

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Endnotes

**• Orders of Magnitude Smaller Than Any Known Particle**. In the prior posting, the size of things using base-2 notation from the Planck base units was explored. Planck Length and Planck Time are so infinitesimal spheres, the first 64 notations are difficult to conceive. Also, beyond imagination are the 539.116 tredecillion planckspheres by the first second between Notation 143 and Notation 144. The overall picture is reviewed in that prior posting, https://81018.com/challenge/#1f 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).

•.**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. Lagrange points: All Lagrangians come home.

• **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 already 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.

***Birds & the Bees**: Our neighbors left a little package of honey at our door before they retreated back to their family home in North Carolina. It couldn’t have been more gracious and inspirational. I began to think about the bee, honey and the bee’s hexagonal containers. What other living thing naturally, automatically, instinctively constructs such a basic shape, a most-simple geometry, without thinking about it?

I wondered, “What bees are likely to give us the most pure honey of the world?”

I decided it would have to be in a remote place with the fewest number of humans (we rather naturally mess things up). I rediscovered the *Mutiny on the Bounty* (circa 1788) and the little island of Pitcairn in the South Pacific. They have honey! I also rediscovered the honey in New Zealand called Mānuka honey. Along with our neighbor’s gift from a little farm in Chocowinity (Happy Honey Bees), we will be having a blind taste testing of four (we’ll add a commercial brand from Florida). It should be fun, plus informative, plus inspirational. How do these bees know basic geometries? -BEC

PS. I’ll make up a taste-test rating sheet with ten questions and share that and the results of our first tests at a later date. The mānuka honey has arrived from New Zealand. Now, we are waiting for our Pitcairn honey to arrive! More later! -camber

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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?

**•** *Fine-Tuning, Complexity, and Life in the Multiverse*, Mario Livio, Martin J. Rees, Jan. 2018 Two assumptions about the universe.

• The emergent universe: inflationary cosmology with no singularity, George F R Ellis, Roy Maartens, IOP Publishing, Classical and Quantum Gravity, Volume 21, Number 1, November 2003

• *The Arrow of Time*, David Layzer, *Scientific American*, December 1975.

• *Fourier Transform Pairs*, A Listing, Peter Joseph Bevelacqua, 2010

• The Uncanny Precision of the Spectral Action, A. H. Chamseddine and A. Connes, ArXiv, 2008

**•** **Research centers**: Today, you can find people, their references-and-resources, in just seconds. So much is on the web. I just tweeted the following: *@CKinstitute, @4pt0schools*,* *@UCICove , @RichardSudek (UCI Beall Applied Innovation, Chief Innovation Officer & Executive Director, UC-Irvine within minutes the following:

*“The biggest impediment to personal growth is a limited worldview. We live in the universe and need to see all things within that context. We’ve started on an integrated universe-view in a New Orleans high school: https://81018.com/stem/ Today: http://81018.com*

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Communications: Emails & Instant Messaging

Fine-Tuning, Complexity, and Life in the Multiverse, Mario Livio, Martin J. Rees

**4:01 PM March 1, 2021** An email sent to old contacts with whom I haven’t heard for awhile:

Quick questions. Have you ever thought:

1. Here we are 13.79 billion years of history and we barely know much about it, or think about it in order to context and understand our own time. Are we limiting ourselves?

2. Here we are in a splendid universe but we rarely think about it, we rarely think beyond our home’s bounds (or the country’s bounds during the evening news)! Do we need to expand?

3. What if we had an integrated view of the universe, everything, everywhere for all time that entirely encapsulates it all within 202 base-2 notations? Don’t you think that would give us a new perspective and it just might help us break free of our naturally solipsistic views of things? Don’t you think a highly integrated view of the universe could open questions we usually do not entertain? Might it give new insights to all the old, open questions about life (and physics and cosmology)? Might it help us get beyond worldviews with inherently limited points of view? Interesting? Thanks.

7 PM 21 March 2021 to Ben J. Green, Oxford:

Dear Prof. Dr. Ben Green:

- Have you ever considered Lematre’s 1927 model of a cold start with his primeval atoms?
- If not, why not?
- If so, might those primeval atoms be simple spheres defined by the Planck base units?
- If not, why not?
- If so, might Planck Time 5.39116×10
^{-44} per second set a rate of expansion such that there are 539.116 tredecillion spheres per second? - If not, why not?
- If so, might we apply base-2 notations simply to group these spheres in a logical progression whereby from Planck Time to the current time there are just 202 notations and the process is still active?
- If not, why not?
- If so, might we assume cubic-close packing of equal spheres whereby tetrahedrons and octahedrons are generated?

May I go on? If it is so entirely naive that I lost you with any one of these questions, I kindly ask that advise such. Thank you.

Instant Messages & Tweets

2:56 PM · Mar 18, 2021 @HarveyMasonjr Thank you for all you do to make this universe a better place. We’re all held down and back with little worldviews with no value equations. Solipsism is easy: https://81018.com/solipsism/ We need values: https://81018.com/ethics/ We need an integrated view of the universe. Harvey Mason, Jr. is the CEO of the Grammy Awards.

11:28 PM · Feb 24, 2021 @tara_taylor How about expanding our understanding of pi? Could it be involved in the very first instance of space-time? Could be involved with the defining of a PlanckSphere generated from the Planck base units? http://81018.com is where we struggle for answers. -Bruce

6:46 PM · Feb 21, 2021 @RepKinzinger We all need a different vision of who we are and why. All our little worldviews tend to trample anything in the way. Globalism is too small. We need an integrated view of the universe so we can get grounded in the basics: http://81018.com is my simple start.

6:34 PM · Feb 23, 2021 @Gary_D_Cohn Possibly our most basic problem is our worldviews are too small and solipsistic when we need to have an integrated view of the universe. http://81018.com started in 2011 by applying base-2 to the Planck units to encapsulate the universe in 202 steps!

2:50 PM · Feb 25, 2021 @TrenaWilkerson Math should be engaged, not according to our world, but to the universe. Apply base-2 to Planck’s base units and we have a simple, mathematically-integrated view of the universe: https://81018.com Just 202 notations to consider. See chart: https://81018.com/chart/ -BEC

3:59 PM · Feb 26, 2021 @FryRsquared Pi has to be more than the banality of so many Pi Day’s celebrations. Here’s a simple alternative: https://81018.com/challenge/ Puts Pi back at the beginning of it all. Here’s another: https://81018.com/instance/

@KurdistanRegion@IKRPresidentand 2 others A most important thing we can do is break free of our limited worldviews and adopt an integrated view of the universe. We’ll begin thinking about everything, everywhere for all time: https://81018.com is just a start, but start we must! The numbers: https://81018.com/chart/

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Zzz’s

**Afterthoughts**. Let us all begin to pointedly equate pi with the first sphere, the first moment of space-time, and continuity-symmetry-and-harmony. When pi is brought back to the first moment of space and time, everything changes.

*More to come…*

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Key Dates for this document, *Instance*

**This document** was started on January 27, 2021.**First posted for collaborations**: February 8, 2021**The URL**: https://81018.com/instance/**The Prior Homepage**: https://81018.com/challenge/ **Headline**: Pi (π) Shapes Our Universe**Subheading or Subline**: Cold-Start beats Infinitely-Hot Start**First Tagline**: The first instance of the universe **Second subline**: A Simple Alternative to Lemaître-Hawking-Guth Cosmology**The most recent update** of this page: March 26, 2021