Symmetries within the first 67 notations actually create space.

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(L-R) KEPLER CONJECTURE, CCP-FCC/HCP, FEIGENBAUM CONSTANT, HEXAGONALS INSIDE THE OCTAHEDRON AND OLYMPICENE MOLECULE

Symmetry defines our universe.*

by Bruce E. Camber  Most recent update: July 2020 Also see: Continuity Harmony Infinity

We say, “Symmetry begets relations which beget geometries which beget space.”

  1. Consider the perfect symmetry of a circle. Go inside the circle, find the lattice, (top left image) and follow it until it becomes a simple tetrahedron. Discover the octahedron within it, and then the four hexagonal plates around the centerpoint of the octahedron. These appear to be the simplest possible beginnings of geometry as well as our universe. Yet, within our simple chart of the universe within its 202 doublings from the Planck scale to the Age of the Universe, geometry seems to lose its functional applicability around the molecular level, i.e. the tetrahedral methane molecule (.72 nm or notation 86). Of course, just because we can’t measure it per se, doesn’t imply that finer structures are not there.  Throughout the years, science has developed tools to measure lengths, time, mass and charge at smaller and smaller increments. Our limit on length today seems to be defined by CERN (Geneva) and labs like it. That brings us down into the range of the 67th notation. Given all the continuity equations we know there is something within the 66 smaller notations. Referring back to our base-2 chart at the 66th,  our scaling vertices alone number 4.0173451×1059  which gives us enough vertices to construct every possible potential geometry. One could assume that includes the geometries that make up the foundations of universe! In this model each doubling builds progressively and each actively defines our expanding universe!
  2. Begin with the Planck base units. Within the nexus of equations that define these units, might we hypothesize that each equation is a circle that is part of a sphere? Perhaps experts can help us to see how Langlands programs, scalar field theory, or even loop quantum cosmology (LQC) actually define the simplest geometric relations? Of course, we do not have answers and we may never have answers qua answers. Yet, we might hypostatize an answer (more than hypothesizing and less than reifying). Each doubling has time, length, charge and mass, and scaling vertices. Simple geometries necessarily emerge within a natural inflation. Though the possibilities quickly seem endless, we will need to make choices (i.e. line 12 of the chart) being somewhat guided by our initial analysis of just six sets of numbers out of the 202.
  3. Yes, there are many experts to whom we will turn with our questions. Our model is such a stretch it is difficult for most scholars to engage. Yet, we will continue researching and trying to find those who are open enough either to pull us back into the real world or to encourage our explorations. We will delight with any judgment by those with knowledge, insight and wisdom.
  4. Though just dynamic ratios, we believe each notation does unique work to structure our universe. We first began by exploring the workings of just numbers; now we will begin to watch every possible geometric relation within those numbers. Our goal is to get this new paradigm to start shifting the old to discover how every notation is always active.
  5. Symmetry bridges the finite and infinite. Symmetry is infinite and it extends throughout the finite yet is not finite.  More

It could be said…

“Science gives space and time too much space-and-time.”

DaVinci
 Vitruvian Man (ca. 1487) by Leonardo da Vinci

Isaac Newton was the stinker who got us going in this direction. It may have something to do with being the Lucasian Professor at Cambridge University. He became the second person to hold the title. He oversold absolute space and time and had no respect for anyone who didn’t buy into it. A rather novel story about geometry The deep history of space, time and geometry has been captured by experts like Brown, Davies, DiSalle, Lightman,  and Penroseamong many other scholars. None of these people had ever seen a model of the universe that started at the Planck units and naturally expanded using base-2 notation. We are in search of scholars who would truly considered analyzing this nascent model.  Though ours is a bit more recent and at least six-times more detailed, in 1957 Kees Boeke introduced a similar model using base-10. Getting our geometry chops up Changing our orientation to space and time is not easy. This site will struggle with it as long as there is a web and air to breathe. Some have asked, “Why haven’t we seen this model until now?


* Symmetry: The second face of the infinite.

Of the many faces of symmetry, we focus on symmetries in mathematics (particularly scale symmetries such as fractals, symmetry groups, symmetric groups  including Galois theory, Lie groups, and more), and symmetries in physics.

The first article in this series is about continuity. The next article focuses on harmony. It is followed by an article about hypostatic structure. Our introduction to it was written in April 2017 called, Hypostatic Way of Learning & Knowing.

For more:

Mathematically-Integrated Model of the Universe

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Universe-67x675
An artist’s rendering of our universe: Earth and Solar System on the left. Where did it all start?

Assumptions – Presuppositions

by Bruce E. Camber | Prior Homepage|All links below go to earlier pages|Email | Tweets |Comment

Take as a given:

  1. Start with Planck base units of time, space, mass and energy (2011).

  2. Map the universe everything, everywhere for all timewithin 202 base-2 notations (or doublings that could also be known as domains, groups, layers, jumps, ratios, sets or steps from Planck Time at the beginning to the current time today (2011).
  3. Assume the sphere, initially called the PlanckSphere, is the first expression of physicality to begin to define the universe (2018).

  4. These spheres instantiate the finite from the infinite. It is an open universe. (2016).
  5. Sphere stacking begins the expansion of the universe (2016).

  6. Cubic-close packing of equal spheres generates tetrahedrons and octahedrons (2019).
  7. Cubic close packing of equal spheres at the Planck scale opens the functionality within the Poincare sphere and the Fourier transform (2018).

  8. The totality of these spheres from the first notation through to the 202 notation account for dark energy and dark matter (2018). 
  9. The infinite is defined by continuity (order), symmetry (relations) and harmony (dynamics) (1972).

  10. Values and ethics are the byproducts of this redefinition of the infinite (just above, #9).
  11. By the first second of the universe, which is within Notation-143, the temperature of the universe would have become hot enough to initiate the quark-gluon plasma (2017).

  12. The first 64 notations are the domain of string theory and Langlands programs. These two conceptual frameworks can be mathematically integrated within the first 64 notations (2016).
  13. The 7.35+ degree gap of just five tetrahedrons is the beginning of quantum fluctuations as well as individuality, identity, consciousness (2015).

  14. There is a domain of perfection in the physical world that exists before quantum fluctuations and indeterminacy and uncertainty.

  15. Let us begin to demythologize the concept of a singularity.  More…
  16. Time’s illusions and asymmetry exist only within Notation-202.

  17. Consciousness and sleep are on this grid that includes everything, everywhere for all time. Sleep is considered like the recompile of a computer, but is individual. (2019)
  18. As base-2 encapsulates the universe, all other prime number doublings, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37… may well define what have been called wormholes or shortcuts throughout the universe.

  19. Euler was right. The universe is foundationally exponential.
  20. Time measurement varies between the 202nd notation and all other notations. Notation-202 seems directional and linear, it is asymmetric. Notations 1-201 are all symmetric and the notations have been filled with infinitesimal spheres that are defined by the Planck base units.

  21. The finite number of seconds in the universe can be readily estimated.
  22. The expansion of the universe is driven by Planckspheres per second. That rough number of planckspheres is a new concept of the aether (or matrix or grid), a natural inflation, and  homogeneity and isotropy.

  23. At the Planck scale within the dynamics of the Fourier Transform, there are the internal dynamics that create a pull within and  external dynamics that push out such that we are projecting that electromagnetism projects out and gravity pulls in and the two forces are the Janus-face of the other.
  24. Calling for units of measurement between the femtosecond and the Planck Second be formally named. These are 10−27, 10−30, 10−33, 10−36, 10−39, and 10−42 seconds.

  25. There are two calculations for the Hubble Constant (H0). One number results from measuring from within Notation 1 to 201 which are all fully symmetric and the other results from measuring within Notation-202 which is asymmetric and seemingly directional (the arrow of time).
  26. The entire model, based on the Planck base units, becomes scale invariant.

  27.  Max Planck calculated Planck time to be 5.39116(13)×10-44 seconds which converts to 53.9116 tredecillion spheres per second  at one Plancksphere per Plancksecond. (2020)
  28. Pi is first defined by continuity-order that is the never-ending, never-repeating numbers. It is defined by the symmetries of circles and spheres and the transformations within cubic-close packing to tetrahedrons and octahedrons. It is defined by no less than five Fourier Transforms creating perfection harmonies and dynamics.

  29. The Planck base units uniquely identify every moment and everything; and, that identification is constantly evolving.

Here is an earlier version of these claims.

Current work: If time is derivative and finite, is the red shift measuring distance only? The best estimates for the age of the universe stand yet if time is always now and everything is always dynamically expressed, what does it mean? Yes, within this model of the universe, all 202 notations are active today in a similar fashion as when each notation became manifest as a space-time moment… perhaps just a lot of silliness.


Endnotes & Footnotes

[1] The Planck base units basic fundamentals. In our earlier years of this study, 2011 to 2015, we thought the smallest-to-the-largest possible measurements would establish working parameters, boundaries and the boundary conditions, by which we could understand our universe. These Planck units seemed to us to be conceptually so important, we tested these concepts with our most advanced sixth grade class. With our special naïveté, the sixth grade students seemed to grasped the conceptual framework and they appreciated it!

For more, do a search on the words, “Planck base units.”

More footnotes and endnotes will be forthcoming


Email

I think you’ll enjoy this little chart of the universe:
It starts with our back up against Planck’s Wall.
It is all wonderful madness replete with
idiosyncratic assumptions and first principles.
After a hard day, yes, “Let’s have some wine.”
Thanks.
-Bruce
_____
Dear Editorial staff:
Work on this mathematical model began in a New Orleans
high school. Blissful naïveté, we were just playing with Zeno’s
idea with our little tetrahedrons. Little did we know, within 112 steps,
we would be at Max Planck’s wall. Curiously, that was going smaller
and smaller to the smallest. “What happens if we multiply the edges
Beyond belief. It is a little like Kees Boeke’s 1957 work, but this
is a working model with stacking spheres and an ontology and
cosmology and even a values equation. It’s all online. No secrets.
It’s not a book yet. It’d need some good editors and a lot of hustle.
Notwithstanding, I have thick skin.
Warmly,
Bruce

Tweets

@dintersmith You are so right. We need a system where anybody can vote from any computer but once you vote, it’s verified in a dozen ways. We can secure the voracity of a vote. We also need an integrated view of the universe and graduate from all our little worldviews: http://81018.com

@JoJoFromJerz (and @waltshaub and @nytimes ) Hi Jo – We’ve all got to break out of our little worldviews for a highly-integrated view of the universe. It’s not easy, but possible, and it breaks of us free of Horizon Vision. http://81018.com is a modest start but the numbers are here: https://81018.com/chart All keys!


Your Comments:

Please send along your comments or questions!

__


Key Dates for Claims-2020

The original article, Claims, was initiated on Friday, February 14, 2020.
The first time Claims was a homepage: March 1, 2020.
This version was initiated on Sunday, July 12, 2020.
It became a homepage on Monday, July 13, 2020.
Last update: Sunday, January 24, 2020
The Prior Homepage: https://81018.com/integrating/
The name of this page is: claims-2020.
The URL is https://81018.com/claims-2020/.

Original top header: “Request for a critical review of these claims: Mathematically-Integrated Model of the Universe, aka Quiet Expansion or Integrated UniverseView”


If you appreciate what we are trying to do here, please “like” and “share” this page. Thank you.


To Johannes Kepler: A open letter from an admirer

Motivation: Johannes Kepler and Thomas Harriot had a working correspondence. They were interested in many of the same questions. Among all the issues of their time, a focus was sphere stacking and cubic close packing of equal spheres. It seems they are the first in history to raise key questions.

For our time: Kepler and Harriot were concerned about stacking cannonballs on a ship. Here we are concerned about the logical progression of stacking and how a most fundamental sphere could rapidly expand within the dynamics of light, charge, mass, and dimensionless constants such as pi. What would be the dynamics? What would be the first symmetries to evolve?

The focus: The Kepler Conjecture

Articles: NASA
ArXiv: The Starry Universe of Johannes Kepler, Christopher M. Graney, 2019
Books: Harmonices Mundi
CV
Google: Sphere Packing
Homepage on Wikipedia
Twitter
YouTube: Johannes Kepler (In Our Time), BBC, 49 minutes, Aug 6, 2018

First email: Monday, 12 April 2021

Dear Johannes Kepler:

I have been reading your 1611 paper about sphere stacking. Your title, “On the six-cornered snowflake” does not do justice to the topic. Of course, your challenge was to stack cannonballs most densely on the deck of a ship. Our challenge is to understand the limit to the size of a sphere. By the way, I am glad you opened your discussions with Thomas Harriot; the two of you are such creative thinkers. Over 300 years later, people are still talking about your conjecture and major efforts have been focused on it (See Thomas Hales, Jeffrey C. Lagarias, and Chuanming Zong). For about hundred years, scholars have been trying to figure out waves and particles. My thought, originating back within a high school geometry class, is there are many layers of activity just below our abilities to measure more finely. Max Planck opened that ideation for me with his calculations from 1899 and 1900 of a fundamental length and fundamental time. Those calculations have been questioned by a few scholars and currently I am studying those objections raised by John Ralston. We’ll eventually get to the bottom of that discussion and we will see if there is a size of the smallest possible sphere. Of course, I would love your thoughts and would ask that you complete my little survey: https://81018.com/questions-1/ At this point, I would speculate that you would answer every question, “Yes” because each of the questions begins with the word, “Might…” and I would quess that you are always opened to possibilities.

Thank you for all your work. I will continue to return to it because I have only scratched the surface!

Thank you. Thank you very much.

Warmly,

Bruce

Planck Constant: In process, April 2021

The four base units: Planck Length, Planck Time, Planck Mass and Planck Charge need to be studied and analyzed as carefully as possible. Perhaps most important is the Planck constant because it is involved in defining all four.

Planck Length. In 2011 my journey with Max Planck began in earnest through the Planck Length. Ultimately, it did not much matter what Max Planck’s calculation was for Planck Length, it was so small and we were so close to it, our system of going within using the tetrahedron and octahedron was more important than the actual numbers when our goal was just to get into the range of 10-35 meters.

Planck Constant. Fundamentally defining all four Planck units, the Planck Constant would appear pivotal to the entire system and our understanding of our base-2 mapping. In 2016 our base-2 numbers were placed on a horizontally-scrolled grid. Where Planck Length and Planck Time were most infinitesimal, Planck Mass and Planck Charge were larger than some current measurements of both.

Please note: There is a tension within academia about the usefulness of the Planck Constant. Several of these articles are just now being developed (5 April 2021).

  • Frank Wilczek
  • Thanu Padmanabhan
  • J.C. Mohr and W.D. Phillips (“Dimensionless Units in the SI”, Metrologia, 52 40–47 ArXiv, 2015)
  • John P. Ralston, Dennis Sivers, Properties of a classical confining medium in SU2 gluon dynamics, Phys. Rev. D 28, 953 (15 August 1983)

Also see:

Universe before Planck time: A quantum gravity model, T. Padmanabhan, Phys. Rev. D 28, 756, August 1983

Pattern of perturbations from a coherent quantum inflationary horizon

Craig Hogan

It is proposed that if quantum states of space-time are coherent on null surfaces, holographic Planck-scale fluctuations of inflationary horizons dominate the formation of primordial scalar curvature perturbations. It is shown that the reduction of quantum states on nearly-spherical emergent horizon surfaces around each observer creates a distinctive pattern whose correlations in the angular domain differ from the standard quantum theory of inflation. Causal constraints are used in a semiclassical model to formulate candidate directional symmetries. https://arxiv.org/pdf/1908.07033.pdf

Sunday, 14 March 2021

Pi Day throughout our world
Also, see: https://81018.com/pi-2021-3/ and https://81018.com/pi-2021

Dear cosmology and theoretical physics aficionado:

Might we take as a given: A key structure of the universe is an infinitesimal sphere defined by the Planck base units. It is, of course, orders of magnitude smaller than any particle. What can we say about that sphere?
[1] It is defined by pi (π).
[2] It is defined by the Planck base units.
[3] It is defined by the other dimensionless constants that define those units.
[4] This very-first infinitesimal sphere is never-ending, never-repeating, always the same and forever changing in relations to all other spheres.
[5] This quality redefines continuity. It creates order and numbers and it is the first moment of time and the very nature of time.

[6] Now, to better visualize this event, know that the rate at which these spheres are manifesting is defined by Planck Time: 539 tredecillion spheres per second.
[7] Sphere stacking necessarily begins, but this is just the beginning.

[8] The second quality of this most-infinitesimal sphere is its symmetries which create relations which create space. Think of cubic-close packing of equal spheres.

[9] Continuity and symmetry are simple perfections.

[10] Focusing on cubic-close packing (ccp) and the creation of lines, tetrahedrons and octahedrons, many different types of symmetries emerge including a five-tetrahedral cluster that will become systemic or ontic and quantum fluctuations within given notations.

[11] A third quality of spheres is harmony and it, too, is a simple perfection.
[12] With this image, pi and spheres are dynamic, extending through time. Called the Fourier Transform, we are now researching possible faces of it and the harmonic functions uniquely created.

We’ve applied base-2 to order these spheres and there are 202 notations from the first instant to the current time. If Notation #1 is close to absolute zero, by the notation-136, the temperature has risen high enough for the Quark-Gluon plasma processes to begin. By Notations-143-to-144, the first second of the universe is defined. Agreeing with Neil Turok and James Peebles (Princeton, Nobel 2019) that big bang cosmology is wrong, this cold-start model is more like Lemaitre’s original ideas of 1927.

Your comments are most welcomed.  Thank you.

Warmly,

Bruce

**************

Document: https://81018.com/pi-day-email-2021/
Another document like it is: https://81018.com/pi-2021-3/
Yet another: https://81018.com/pi-2021/

In the beginning…

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First instance of the universe is still “in process.”
Pi (π) Shapes Our Universe
Within a Second, Cold-Start Becomes “QGP-Hot”
Remaking Lemaître-Hawking-Guth Cosmology

by Bruce E. Camber Pi Postulations & More analysis


ABSTRACT

…..

A cold-start of the universe is postulated so basic structure can be analyzed in light of fundamental constants. 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).Primordial spheres come alive and there is a rate of expansion that is symbolically represented by a number like Planck Time. (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: length, time, mass and charge. Questioned by the current studies of the concepts that define the Planck Constant, we propose using the most primeval base units and dimensionless constants. (7).To.create.order out of such a large number of spheres within the infinitesimal, we apply Euler’s base-2 notation. So, for example, using PlanckTime as the first moment of time and going to this day, there are just 202 notations. (8).The.first.64 notations are below the thresholds of direct measurements. These first 64 of the 202 are most foundational (and all superconductingly cold). (9).This.is a new laboratory for explorations. (10).Here let us engage causal set theory, causal dynamical triangulation, M-theory, Langlands programs and so many other logically-constructed environments, too small to be measured, yet 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 is 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: Building on this 2021 Pi Day article — https://81018.com/challenge/

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 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 fundamentals of shape, an infinitesimal sphere, many orders of magnitude smaller than our elementary particles. The fundamental unit of time sets a rate of expansion.

We had learned how tetrahedrons-and-octahedrons are derivative of the sphere, and how spheres stack and quickly build off of 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 we use Planck Time as a symbolic fundamental unit of time (whatever its actual value is) and we assume one Primeval Sphere* per Primeval-part-of-a-Second. The very nature of light renders a natural unit of time which was calculated by Planck to be 5.39116×10−44 seconds. That simple calculation gives us a symbolic rate of expansion of 539.116 tredecillion planckspheres per second.**

Using base-2 to group those spheres, we find just 202 notations from that Primeval-unit-of-time to the current time. The more we engage 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.

QGP. For perspective, by Notation-136 the energy densities and temperatures are high enough for the Quark-Gluon Plasma (QGP) processes to begin. The first second of the universe emerges between Notations-143-and-144. Each notation is being defined by these symbolic “Planck-base unit multiples,” 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 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 this Cold-Start UniverseView, consider this comparison, a simple chart. If so defined and understood, the Primeval Sphere 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]

  • Primeval sphere or the symbolic PlanckSphere: Not formally recognized, there are 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: 2.35117694×1015
    • Add the eight zeros from seconds and 39 zeroes from the planckspheres per second
    • Estimated total number of planckspheres in the universe: 2.35117694×1062 planckspheres

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 or quark, 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.

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

Sphere to tetrahedron-octahedron couplet

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 sphere dynamics is a range of harmonies, Fourier pairs, symmetries in motion, each creating a space-time moment defined by the base units of that primveal sphere, dimensionless constants, and a rich variegation of numbers from necessary dimensionless constants. 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 PRIMEVAL BASE UNITS AND PI

That first instant, defined by a Primeval Sphere’s four base units, are all so small, the sphere is necessarily cold. From where would heat be generated? As each notation incorporates more units of Primeval Charge – Primeval 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 ontological fluctuations, well prior to those physically measured. These mental events may not be perfect, but discontinuous, asymmetrical, and not harmonious. What will be known as quantum fluctuations become measurable within Notations 64-to-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 ontological 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 (9.945379×10-25seconds) 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. [10]

Our list of naive claims 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:

  1. The four primeval base units manifest as a basic building block, an infinitesimal sphere many orders of magnitude smaller than a neutrino. It is the first moment of spacetime.
  2. This sphere is also defined by pi and other dimensionless constant, then further defined by cubic-close packing of equal spheres and the Fourier Transform.
  3. Primeval Time, acting a bit like Planck Time, 5.391 16(13)×10-44 seconds, defines a rate of expansion. Using PlanckTime, one PlanckSphere per PlanckSecond renders 539.116 tredecillion units per second.
  4. 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)

[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 Fouriersymmetries 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, 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: Rafael Sorkin, David P. Rideout, David Malament, Graham Brightwell, Ruth GregorySpace-time as a causal set
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

[1] 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.

[2] 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 with 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:

  1. Have you ever considered Lematre’s 1927 model of a cold start with his primeval atoms?
  2. If so, might those primeval atoms be simple spheres defined by the Planck base units?
  3. 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?
  4. 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?
  5. 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. Note: 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 determinant of the first moment of space-and-time, everything changes. When the first moment of space-and-time is constantly being pushed forward, it stands to reason that the first moment is still the first moment and the current expansion that defines the NOW.

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 31, 2021

Pi, the first formula defined by continuity-symmetry-harmony

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CENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY GOALS_MARCH.14,.2021
PAGES:.ALTERNATIVE. .| CHINESE |.DARK | MISTAKES | PHILOSOPHY | RELATIONS | TIMEUP

PRIOR POST | CLAIMS | ENDNOTES-FOOTNOTES | REFERENCES | EMAILS | TWEETS | Zzzzs

Power of Spheres, Circles and Pi (π)
Deepest Structures of the Universe Drive the Economics of Value
by Bruce Camber Also: [1], [2], [3], [4] and [5]

Our Key Evocative Question: Could the key structures of pi (π) also be key structures of our universe (as well as economic theory and valuation)?

Hypothesis. Take as a given, a key structure of the universe is an infinitesimal sphere defined by the Planck units (orders of magnitude smaller any particle). What can we say about that sphere?
[1] It is defined by pi (π).
[2] It is defined by the Planck base units.
[3] It is defined by other dimensionless constants.
[4] This very-first infinitesimal sphere will exhibit a primary quality of pi — it is a never-ending, never-repeating number, always the same and forever changing.
[5] That quality redefines continuity. It creates order and numbers and it is the first moment of time and the very nature of time.

[6] To visualize this event, know that the rate at which these spheres are manifesting is very-very high. It is unbelievably high.
[7] This image on the right of sphere stacking doesn’t at all capture the dynamics. It is, however, one of the earliest examples of sphere-stacking, 1611, by Johannes Kepler, of cannonballs on the deck of a ship.

Sphere to tetrahedron-octahedron couplet

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

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

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

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

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

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

Continuity is the beginning of value.

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

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

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

Harmony opens the richest dynamics of life.

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

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

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

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

________

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

________

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

________

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

________

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

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

We’ll continue to check the math.

________

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

________

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

________

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

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

________

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

________

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

________

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

________

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?

________

Communications: Emails & Instant Messaging

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

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

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

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

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

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

________

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

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

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

________

Key Dates for this document, Challlenge


Economic Theory, Value and the Structure of our Universe

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CENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY GOALS_FEBRUARY.2021
PAGES:.ALTERNATIVE..| CHINESE |.DARK | MISTAKES | PHILOSOPHY | RELATIONS | TIMEUP

PRIOR POST | CLAIMS | ENDNOTES-FOOTNOTES | REFERENCES | EMAILS | TWEETS | Zzzzs

Power of Spheres, Circles and Pi (π)
Deepest Structures of the Universe Drive the Economics of Value
by Bruce Camber

Introduction. I did a cursory check and it seems that nobody is writing about how the structures of pi (π) are also the key structures of our universe, economic theory and valuations. I’ll try to keep this posting simple and short to encourage feedback. I will also try to tighten up the endnotes and footnotes. So please, let me know if it is still too abstract and convoluted.

Structures. Assume the key structure of the universe is an infinitesimal sphere that is much, much smaller than an atom or any known particle. [1] It is defined by pi (π), the Planck base units [2], and other dimensionless constants. [3] The very-first infinitesimal sphere exhibits a primary quality of pi; it is a never-ending, never-repeating number, always the same and forever changing. [4] That quality redefines continuity. It creates order and numbers and it is the first moment of time and the very nature of time. [5]

Now, to better visualize this event, know that the rate at which these spheres are manifesting is very-very high. It is unbelievably high. [6] This little image on the right of sphere stacking doesn’t at all capture the dynamics. It is, however, one of the earliest representations of sphere-stacking, 1611, by Johannes Kepler, of cannonballs on the deck of a ship. [7]

Sphere to tetrahedron-octahedron couplet

The second quality of this most-infinitesimal sphere is its symmetries which create relations which create space.[8] There are college courses about the many types of symmetries [9] involved; however, for our purposes we will focus on cubic-close packing (ccp) and the creation of lines, tetrahedrons and octahedrons. [10]

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

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

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

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

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

Continuity is the beginning of value.

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

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

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

Harmony opens the richest dynamics of life.

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

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

________

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

________

[2] The Planck base units, Part I. These Planck base units become solid gold (after 69 notations). My hope is that you’ll grasp their essence much faster than the academic-scientific community did. With few exceptions it took over 100 years to begin to understand Max Planck’s 1899 work. Here were units of time and space defined by four universal physical constants such that it was inconceivable that a smaller or shorter unit of time could exist. It is well worth the time to engage the Wikipedia accounts. My writing about these units has been on the job learning which will continue for my lifetime. There is that much more to learn.

________

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

________

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

________

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

________

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

Consider a few simple calculations base on Planck Time, 5.39116(60)×10−44 second:
• 539,116,000,000,000,000,000,000,000,000,000,000,000,000,000 planckspheres/second
.. Read: 539.116 tredecillion or 539116000000000000000000000000000000000000000
• 436,117,076,900,000,000 seconds (approximately 13.82 billion years)
.. Read: 436 quadrillion, 117 trillion, 76 billion, 900 million seconds or 436117076900000000
• 4,361,170,769 times 5,391,247: 2.90655442×1013
• Add the eight zeros from seconds and 37 zeroes from the planckspheres per second
• Estimated total number of planckspheres in the universe: 2.90655442×1058 planckspheres

We’ll continue to check the math.

________

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

________

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

________

[9] Types of symmetries. Every symmetry is a key. We are just scratching the surface. Some geometers have been at it for decades; they know remarkable things about pi and symmetry. Yet when I ask them about the interiority of the octahedron and they can not tell me about those four hexagonal plates within, I know too much that is fundamental has been missed. We all need to be celebrating every honey bee in the world. Somehow they are in harmony with those hexagonal plates and everything that comes out of them has a deep hexagonality. We all need to know and experience every natural symmetry.

________

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

________

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

________

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

________

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?

________

Communications: Emails & Instant Messaging

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

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

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

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

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

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

________

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

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

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

________

Key Dates for this document, Challlenge


In Search of the Essential Universe*

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PRIOR POST | CLAIMS | ENDNOTES-FOOTNOTES | REFERENCES | EMAILS | TWEETS | Zzzzs

Sphere to tetrahedron-octahedron couplet
Sphere Stacking-Packing
Fourier-A
File:Circle cos sin.gif
Fourier-B
Fourier-C
Fourier-D
Lagrangian point
Fourier-E

Harmony, a deep dynamic* of our universe
by Bruce E. Camber

Is there a more-simple but rigorous explanation for the beginning of this universe? 1 Anxieties surround the big bang theory — there are too many unanswered questions. There has been a long-standing search for a better theory. Yes, the infinitely-hot start is just a theory and it has been enigmatic right from the beginning.

There’s got to be a better way. 2

Try a cold start defined by Planck’s base units; it opens new dynamics and questions: 3
Is the first instant of space-time of our universe defined by the Planck base units? 4
If so, would it manifest as a primordial sphere defined by the Planck units and pi? 5
Would that include the de facto harmonies of the Fourier Transform? 6
If so, might we assume there is one PlanckSphere per PlanckSecond? 7
Is the rate of expansion 539.116 tredecillion planckspheres per second? 8
Planck Time: 5.39116(13)×10−44 seconds
. Review aether and dark matter-energy.
Is the PlanckSphere the most essential, foundational unit to define the universe? 9
Is that PlanckSphere foundationally defined by pi? 10
Is pi (and the sphere) defined by continuity-symmetry-harmony? Is our universe? 11
Do the Planck units uniquely identify every instant and everything within the universe? 12
Are these Planck’s base units constantly expanding in number with every instant? 13
Might we apply base-2 notation to instantiate a system for grouping planckspheres? 14
Result: Just 202 notations from that first instant to this very moment in time
Observation: The first 64 notations are below our thresholds for measurement.
Is this a domain for Langlands programs and string theory? 15

There will be more questions based on our growing list of naive claims. Also, compare the infinitely-hot Big Bang theory to this Cold-Start UniverseView.

These ideas and concepts have had a slow and painful growth. One could click back (over 200 times) on the top, little-yellow arrow on the left and review top-level postings back to July 2016. You could also cursor over the word, HOME, on the top navigation bar; a drop down will give you access to all those listings. Also, here is a listing of all those top-level postings.

Summaries: Three major breakouts
1. The universe starts with the Planck base units, spheres, and the deepest definitions of pi.
2. 202 base-2 notations encapsulate the universe. All notations are active. The first 64 notations are relatively unknown and have hardly been explored. These notations are below the capability of our measuring devices.
3. Notation-202 is 10.89 billion years in duration and only about 2.9 billion years of it have been fulfilled creating what feels like a flow of time; it’s called time’s arrow. The uniqueness of any moment is recompiled within the larger universe every time there is sleep.

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Footnotes & Endnotes
* Dynamics and Six Dynamic Images. In 1971-1972, just thinking about the most perfect moments of life, I concluded that there were moments of perfection. These moments required continuity for order, symmetry for relations, and harmony for dynamics. I had deep-seated intuitions about the meaning and value of such moments but found it most difficult to articulate what it all meant in light of current philosophy, psychology, and physics. That would take another forty-to-fifty years.

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

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

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[2] Big Bang Theory Is Wrong: The most poignant advocate for something other than the big bang is Neil Turok. He was Stephen Hawking’s friend, colleague, and co-author. Most importantly he said the universe is perpetually starting. That’s true. The first notations are always the first notations for today’s expanding universe. Planck Time defines a very dramatic expansion rate — 539.1 tredecillion planckspheres per second — and provides justification to apply base-2 notation just to track of the numbers systemically.

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[3] Cold start defined by Planck’s base units. In our earliest explorations, we didn’t think abut temperature. We had followed Zeno back to the Planck units using a tetrahedron and the octahedron with it. Dividing each edge by 2, it was relatively easy to create a new map of the universe [1][2] base on the Planck base units. It was our own STEM tool and it just seemed logical. What could possibly be wrong with dividing edges by two? Although ignored for over 100 years by the mainstream scientific and academic communities, these Planck base units became the focus of Frank Wilczek. In 2001 attitudes began to change substantially. Now in the mainstream, these units have yet to be reconciled with the big bang cosmology. It is not possible, so the old theory continues to be saddled by questions.

Twelve of our unique questions follow and the answer to each question is believed to be a resounding, “Yes.”

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[4] Yes, here is the first instant of space-time of our universe: What are the smallest possible units of space and time? …the Planck base units? I have asked some of the finest scholars and most adventurous living physicists of the world. Nobody has had an answer. …not even Alan Guth (MIT). The best response was, “That’s a very, good question.” The definition of that first instant could well be best described by the Planck base units of time, length, mass and charge. Given that we have heard no objections, we hypothesize, instantiate and hypostatize that the statement is true. Now, we should either prove it or disprove it.

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[5] Yes, a primordial sphere is defined by the Planck base units and pi: It seems that primordial spheres of some kind have always been with us. From Democritus to Lemaître to spherical blackholes today, yet it seems everyone forgets to include pi in their analysis. It’s curious. It is also quite incomplete. Spheres, the Planck units and pi are made for each other. Pi defines continuity, symmetry, and harmony. It tests the concept of scale invariance. It defines the beginning and the end of multiscale modeling. It is the epitome of dimensional analysis. And, as we have seen, it is all simple logic and simple math.

There is always something new to learn. While studying spheres one more time, we began considering the Riemann sphere. We’ll find an expert scholar to ask, “Is the Reimann sphere possibly the first sphere within the first notation, and then it evolves one Möbius transformation after the next, as it is pushes through all the next notations?”

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[6] Yes, primordial spheres include harmony and the Fourier Transform: Six key images are at the top of this page. The first (left-to-right) is for the transformation from pi-circles-spheres to straight lines-tetrahedrons-octahedron. This key functional process of the universe builds upon the other five images, all symmetries-in-motion, each a possible expression of infinitesimal harmonies. The Fourier Transform is scale invariant, however, at the infinitesimal level the only test for it is logic; this scale redefines the quantum scale. It gives it an approximate beginning within the Notations-50 to 60. It gives it a transformation from the mathematical to the physical around Notation-65. Here our historic understanding of the Fourier Transform will be expanded through a base-2 notational extension of the Planck base units. We are now looking for an expert, a scholar’s scholar who might work with us to discern the nature of the Fourier Transform at Notation-1, then at each subsequent notation.

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[7] Yes, there is one PlanckSphere per PlanckSecond. This simple logic is telling us the story of our universe. “One PlanckSphere per PlanckSecond” changes everything. It quietly and respectfully opens the door to a new model. And relatively speaking, there is always the same infinitesimal sphere, one after another, filling the universe, all starting 13.81 billion years ago.

If you were to do a search on those four bold words, you’ll only get references to pages within this website. How can something so simple and so basic have been overlooked for so long?

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[8] Yes, there are 539.11 tredecillion planckspheres per second. Not long into this project, I said, “I’ll have to learn more about numbers, especially the extremely large and extremely small.” Wikipedia has a section just on large numbers that is worthy. Of course, the conversion from Planck Time at 5.39116(13)×10−44 seconds to one second readily computes to the 539 tredecillion infinitesimal spheres per second. I think it is a figure that the kids in the sixth grade would enjoy getting to know. It seems like a good number with which to poke fun with your friends, “What? …you don’t know the rate of expansion for our universe?”

Here, too, are major discussions about the aether, and dark matter-energy. The universe is wall-to-wall filled with Planckspheres. The implications are ginormous.

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[9] Yes, the PlanckSphere is the most essential, foundational unit to define the universe. Nobody else is currently making such a strange and strained statement. Even the word, PlanckSphere, can be questioned. I have been asking the international governing bodies to inject themself in the naming convention — NIST, CODATA, BIPM, and others. I think Max Planck defined the Planck base units from dimensionless constants and universals such that these are the best possible;e natural units with which to begin. Certainly, these numbers can be tweaked and they will be tweaked, but the conceptual structure remains the same. There will be an infinitesimal sphere that is orders of magnitude smaller than atoms and particles whereby mathematics and logic must prevail.

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[10] Yes, the PlanckSphere is foundationally defined by pi. I am not sure why the leading scholars within physics do not re-engage the essential natural of pi. There should be motivation. So much of what defines life is circular and spherical. It comes up in the leading-bleeding, thoughtful articles all the time. But if you look for pi, you will not find it. That’s a mistake. There are so many opportunities within a systemic progression from the first moment-to-now to go back and review it. There are so many opportunities within all the symmetry conditions… why not? And now, there is so much within the Fourier Transform, it seems blatantly obvious, “We are missing something fundamental within pi. What is it?” The first thing we miss is its perfection — its never-ending and never-repeating is so enigmatic, we’ve got to confront it and acknowledge there is a perfection within numbers and we do not understand it. One of the recent articles on this site touches on it. The PlanckSphere is foundationally defined by pi. It has a deep-seated perfection. The universe begins within that perfection. We all manifest some elements of that perfection. We shouldn’t be afraid of that minuscule part of us that is perfect. Yes, we quickly adopt quantum indeterminacy and it manifests throughout the rest of our beingness, but it is derivative and secondary. We shall overcome…

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[11] Yes, Pi and the sphere are defined by continuity-symmetry-harmony. Continuity-symmetry-harmony define both pi and the sphere because it defines a moment of perfection and as such it also defines the finite and the infinite. As such, it thus defines our universe.

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[12] Yes, the Planck base units uniquely identify every instant and everything within the universe. Yes, every thought, word and deed. Yet, these numbers are always changing. Though seemingly written in stone, like the enigmatic nature of pi, we are constantly being redefined. It is a bit like the old images of Santa Claus, having that list and checking it twice. Here is the area within which we can begin to understand the mythopoetics of the Akasha. I often tell our political class, “Stop all the lies. It is weighing down your soul and confusing your life. You do not need that added burden.”

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[13] Yes, the Planck base units are dynamic numbers. There is a thrust within our universe and everything, everywhere for all time is constantly changed by that thrust. Nothing is static. It is all constantly expanding with every instant.

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[14] Yes, we need to apply base-2 notation (doublings). It is a system to track planckspheres. There are many folks who have said, “Base-2, base-10, you can use any system you want.” And finally I say to them, “You are intellectually correct but practically wrong.” The most simple system for ordering massive amounts of data is base-2. Finding what it is that is doubling may seem illusive, but in this system, it is clear: the Planck base units. The doubling action is simply keeping a count of the spheres by each notation. We now have a number with which to work: 539.11 tredecillion per second. We even have a calculation for an approximate total, yet with base-2 we have a system that most school children can understand. We have a system that naturally groups within a time, by a size, with an energy and with a certain mass. It is a group. And, with each notation because of prime numbers and dimensionless constant, entirely new things evolve.

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[15] Yes, the first 64 notations are below our thresholds for measurement. It is a new science and a new day. The first 64 notations will free up our imaginations and move us beyond particles and waves. Let’s get this model cooking!

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References & Resources
1. The Essential Universe, Prof. Dr. Neil F. Comins, Professor within the Physics and Astronomy departments of the University of Maine in Orono. Comins’ work, The Essential Universe, is an introductory, college-level overview of astronomy and cosmology. It addresses the most essential-general themes of the universe, not its essential constituents, dynamics, or elements. Also, Comins still adheres to infinitely-hot start of the big bang. All students in these times need to compare an infinitely-hot start with a cold-start (which was Lemaitre’s first proposal in 1927).

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2. Prof. Dr. Jan-Åke Schweitz, Sweden: I had never heard of Dark Source Flux (DSF) cosmology. What could it mean? I try to avoid creating new names, especially if the old ones can work. However, here perhaps is work that struggles with an analogous concepts that are relatively unexplored. I relish finding such people exploring the unknown. His statement: “This source flux makes possible a concise mathematical formulation of the metric expansion in terms of one single variable (cosmic time) and two measurable universal constants. The model completely determines the evolution of the universe from Big Bang to eternity and provides a seamless connection between the early epoch of rapid inflation and our present epoch of slower but accelerating expansion.” (Sixth paragraph under Dark Source Flux (DSF) Cosmology) Of course, we’ll be talking a bit about the big bang versus cold start. It seems he could conceptually work within either domain.

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3. French mathematician-scientist, Henri Poincaré (1854-1912). “Poincaré and Hilbert came to the same conception of the axioms of geometry: they are definitions in disguise; rather than asserting undeniable truths, they fix the meaning of the basic terms of geometry (point, line, etc.) that would otherwise remain undefined.” – Laura Fontanella

What about pi? I’ll use analyses of all three, Poincairé, Hilbert, and Fontanella to discern the appropriateness of starting the universe with just pi and the Planck base units: https://81018.com/challenge/

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4. Spherical and nonspherical models of primordial black hole formation: exact solutions, Tomohiro Harada (Department of Physics, Rikkyo University, Toshima, Tokyo 171-8501, Japan Oxford, Google, ADS ) and Sanjay Jhingan (Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi-110025, India and iCLA, Yamanashi Gakuin University, 2-4-5, Sakaori, Kofu-City, Yamanashi 400-8575, Japan See: Oxford Academic Google Scholar ADS), September 2016

Also see: List_of_finite_spherical_symmetry_groups and scaling laws

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5. Stephen Wolfram Writings, Finally We May Have a Path to the Fundamental Theory of Physics… and It’s Beautiful, April 14, 2020 There seems to be a convergence of ideas and Wolfram’s work will definitely be part of it. There are dozens of people whose writings are bubbling up and will begin to concrese. It all starts with a simple idea.

Emails
1. Mike Holderness, @HoldernessEU, holderness.eu, New Scientist Masthead
2. Alexander Kusenko, Professor, Department of Physics & Astronomy, UCLA and Senior Scientist, Kavli IPMU, U. of Tokyo, Japan
3. Ramon Cruz, Sierra Club
4. Journal of Multiscale Modelling, World Scientific, proposing Penultimate Multiscale Model
5. Multiscale Modeling and Simulation (SIAM), proposing From PlanckTime-to-Today: Using Base-2 Notation to keep track of things
6. Defense Innovation Board, regarding the Public Meeting on Wednesday, July 11, 2018
7. Steve Wolfram: A quick email just to start to compare our “pi-Planck units-dimensionless constants” to his “hypergraph that may well be a single self-loop.”
8. David B. Newell, Barry N. Taylor, Peter J. Mohr and Eite Tiesinga (NIST) request for naming of the infinitesimally small. Add Barend Mons as well.

Somehow we have to come to terms with ourselves: https://81018.com/arrogance/

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Tweets
9:46 AM · Jan 22, 2021 @SenSchumer @SpeakerPelosi @LeaderMcConnell Please-please-please be careful. History writes itself and the truth eventually rises. Sometimes it takes centuries, but every year of deception costs our souls even more. None of us can control the narrative. http://81018.com

9:45 PM · Jan 26, 2021 @JohnBrennan Please, please please, let us take on a much larger vision of who we are by moving beyond little worldviews. Adopt an integrated UniverseView. http://81018.com is a start out of a high school geometry class. It’s base on pi, circles and spheres!

7:28 PM · Jan 26, 2021 @POTUS The entire world needs a new vision of who we are and why. You can lead us. Our worldviews are all too small. We need an integrated view of the universe. It will inform us deeply because it builds on pi / spheres: http://81018.com is just a beginning. Jill can help.

1:46 PM · Jan 27, 2021 @AOC WE ALL NEED AN ATTITUDE ADJUSTMENT! First thing, out with little worldviews and in with an integrated view of the universe. It’ll give us all a better picture of reality. My little start: https://81018.com It’s based on math/geometry and encapsulates the universe.

11:30 AM · Feb 1, 2021 @Prof_WCByrd Intersectionality does not take into account the most basic concepts in science – continuity, symmetry and harmony – and math (derivative of pi). Thus limited worldviews inhibit an integrated view of the universe: http://81018.com starts to work on it.

4:40 PM · Feb 2, 2021· @elliotmcgucken Ever get up to Wheeler’s home on the coast of Maine? https://81018.com/expansion/#Wheeler He sent me “Frontiers of Time” back in ’79. “Wheeler says that time is “not primordial.” (p.117) So we ask, “Is Planck Time the first moment ? …defined by pi? …cold start? …202 base-2 notation to this moment?”

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Zzzz’s
Afterthoughts: This posting’s summary can now be sharpen and simplified. It is a start based on all the work to date, but most particularly on six recent pages. Please review all six pages!

Precursors: We All Need To Become Problem Solvers and Violence Begins With An Incomplete Philosophy
There is more to come…

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Key Dates for this document, Essentials

  • This document was started on January 15, 2021.
  • First posted for collaborations: January 25, 2021.
  • The URL for this document is https://81018.com/essentials/
  • The Prior Homepage: https://81018.com/precis/
  • First Tagline: Let Us Consider What Is The Essential Universe.
  • Second Tagline: In Search of the Essential Universe
  • The last update of this page was on February 6, 2021.
  • Challenge PDF: Load

A précis for this website, our world, and our universe

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CENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY GOALS_JANUARY.2021
PAGES:.ALTERNATIVE.|.DARK.|CONFERENCE | MISTAKES | PHILOSOPHY | RELATIONS | TIMEUP

PRIOR POST | CLAIMS | ENDNOTES-FOOTNOTES | REFERENCES | EMAILS | TWEETS | Zzzzs

Why is there so much trouble in our little world?
Ans: Our little worldviews need the universe.

by Bruce E. Camber

Nations are people; and, all people are in process. No one has all the answers. Surely, there are plenty of very smart people, but we are all still just people. Our leaders are just people, too. Like the rest of us, they have insecurities and gaps of knowledge. It is a recipe for problems!

Throughout our common history, we make many major assumptions. None of these assumptions should ever become sacrosanct. Working on our ideas and concepts never stops. Updating and improving is the essence of life! Notwithstanding, over the years our greatest scholars have made mistakes and sometimes, their students (our scholars) repeat those mistakes for too many years.

Significant Mistake by Aristotle
Ten Full Tetrahedrons Pictured

Perhaps the most egregious mistake by a great scholar is Aristotle’s claim that we can perfectly tile and tessellate the universe with tetrahedrons.1 One might respond, “So what, ho hum. Just a bit technical.” No, it’s a simple but key geometry; one face of the tetrahedrons perfectly covers a surface with no spaces. The flip side (noted by ten triangular peaks demarcated by the red dots within the image on right) cannot be perfectly filled with another layer of tetrahedrons. Therefore, Aristotle’s claim was wrong. It was a mistake and it was promoted for over 1800 years; and today, it is very rarely discussed.2

Today, it seems that we diss simple geometries and we do not grasp basic geometric structures.3


Continuity, Symmetry, and Harmony

Our most important failing: Please think about our oh-so-old, most-ubiquitous, most-studied pi. Mathematics and physics would be dead without it, yet you won’t find it within our concepts about the beginnings of this universe. Today, we tend to fool around with pi.4 If we took it more seriously, we would ask questions about spheres like Lemaître’s primeval atom,5 Wheeler’s geon,6 Pati & Salam’s preon,7 and those defined by the Planck base units.8 We would prioritize the study of the definition of continuity implied by those “never-ending, never-repeating” numbers. We would engage its manifold symmetries and the relations between lines and circles and spheres. We’d be going inside the sphere to study the types of harmony that manifest and the unique dynamics of each.9

These are failings in our time. These are also the failings of our great minds-and-scholars and our leaders; and these failings affect the way we see our universe, our world, each other, and ourselves. The key insight of this article is that we are deeply and profoundly related, connected, and interconnected. If that simple fact was embraced as a fact, we just might be more respectful of each other and be more creative as we engage each other just as we are.

We started working on our chart, a model of this universe on December 19, 2011 in New Orleans …in.a.high.school geometry class. There are 202 progressive doublings of the Planck base units to this day and size of our universe. That chart stretches credulity. It is so hard to believe, we’ve asked many great scholars for advice and criticism. We received modest encouragement, no endorsements, and no constructive criticism. Undeterred, we’ve continued on; and, each year the concepts simply become ever so much more rich and encouraging. We even set about critically reviewing “commonsense” worldviews like our understanding of space and time. We had the audacity to question Newton and to support his rival, Leibniz.10 Then, rather naively, we even challenged Stephen Hawking and his understanding of the first moment of space and time. Hawking had an infinitely-hot start. Ours is rather cool!11

A basic idea emerged; an infinitesimal sphere is always the first notation and a simple start.12 And, the universe is populated by infinitesimal spheres with a remarkable interiority.13 A whole new sense of space and time emerged. A whole new physics of interiority began to emerge. The universe was filled with these spheres, quite literally filling all space and time. These infinitesimal spheres are in everything, everywhere, throughout all time. Each is like a little recording device. Everything you say, do, think or feel, is encapsulated, noted, and footnoted!14

Everything matters. Historically, such a construction may naturally give rise to an understanding of the Akasha,15 a concept that is within the beliefs of Buddhists, Confucians, Hindus, Jains, Taoists, and other sects that lift up Wuji philosophies. Yes, within each belief system, there is a record for everything. In other traditions an analogy would be omniscience.

Our model may be simple, yet it is inclusive. It opens a “huge” domain, 64-to-67 doublings that are infinitesimal and can’t be reached by our measuring devices. So small it just might be the basis of a new science for systems theory and a beginning for complexity theory. It is a domain for string theory and has plenty of character to include Langlands programs and even the most oblique and abstract mathematics.16

Yes, everything starts simple. We all do; and to our simplicity we must humbly return if this world is not to collapse with the weight of people who are much too sure of their ideas and actions.


ENDNOTES-FOOTNOTES

Introduction. Not many people in this world have visited this website. This section is for those who are feeling a bit lost. Our concepts and language always need clarification. We hope that our first-time visitors will find it here.

[1] Aristotle’s Mistake: In 2015, my life changed because I came upon a reference to an article titled, Mysteries in Packing Regular Tetrahedra.” That article amazed me. It took over 1800 years to catch Aristotle’s mistake. Yet, along that way, Averroës (Abu al-WalidMohammad ibn Ahmad al Rushd (1126–1198), Leonardo of Pisa (Fibonacci) (c. 1228), Roger Bacon (c. 1214–1294), and Thomas Aquinas (c. 1225–1274) were among the greats of their time who reinforced his mistake. As a result, none of them would ever know about a most fundamental geometric gap. First, inferred by Johannes Müller von Königsberg (1436–1476), then documented in 1480 by Paul of Middelburg, a professor of astrology in Padua, the discussion was rebirthed by Dirk Struik (MIT) in 1926 while studying in Rome. Most recently, in December 2012, Jeffrey C. Lagarias and Chuanming Zong [also see, May 2020] brought it to life again. Yet, none of these people in their time contemplating that gap ever thought that it just might opened a path to quantum fluctuations, indeterminacy, and imperfection. Such a highly-speculative statement would appear to most physicists today to be uninformed. I do not believe that I would be overplaying my hand to say that this gap makes us all equally human. It is the beginnings of all our imperfections.

[2] Over 1800 Years to Catch a Simple Mistake: We all make mistakes, yet we are not Aristotle, Averroës, Bacon, or Aquinas. Some of our Nobel laureates might come close. Then there are others like Stephen Hawking and Roger Penrose. Nobody is exempt; we all make plenty of mistakes. Admitting our fallibility is the beginning of intellectual integrity, but unfortunately, the need of our cultures throughout time for stars and heroes just does not allow people to be people and the effect on people, culture and scholarship is not attractive.

Arrogance is never attractive.

[3] Basic Geometric Structures: We had an advantage over our scholars; we had boxes and boxes of perfectly clear, plastic tetrahedrons and octahedrons with which to create structures. Most scholars cannot tell you what is perfectly enclosed within a tetrahedron even when you divide the edges by two and connect the new vertices. They haven’t seen the octahedron in the middle. When they look at the octahedron they do not see “half-sized” octahedrons in each of the six corners and eight tetrahedrons, one in each face, with all fourteen objects sharing a common centerpoint. Nor do they see the four hexagonal plates within each octahedron and think about chemical structures. They have not seen how the five tetrahedrons create a most basic gap whereby one can actually make tetrahedrons do the jitterbug. It takes a high school geometry class and playful engagements.

How do these structures come to be? Our antenna were up when we began our studies of cubic-close packing of equal spheres. We thank Phil Davis; he had pushed our faces into the sphere, “…the most basic structure…” And given his expertise, the twinkle in his eye, and his abiding warmth and gracious spirit, we listened. And finally, here we found the work of Harriot, Kepler, Poincare, Gauss, Hales and so many others creating the bridge between spheres and our simple tetrahedron. Bottom line, we could only conclude that the most basic sphere is defined by the Planck base units!”

[4] The Very Nature of Pi: With all the fascination with pi, with the playfulness of Pi Day, with its status as history’s oldest, best-known, most-studied, and most-ubiquitous dimensionless constant, why haven’t we stopped long enough to acknowledge it for our culture, “Here is our deepest key to understanding of everything!” Here is the pathway to understanding continuity, symmetry, and harmony. Here is the transformation nexus between that which is finite and that which is infinite.

[5] Lemaître’s Primeval Atom or Sphere: A sphere is a sphere. How small can it get? How small is the Democritus atom? How small is Lemaître’s 1928 primeval atom? Did it get much bigger with his reintroduction with a very-hot beginning in 1931? Questions abound.

[6] Wheeler’s geon and quantum foam (1955): Perhaps John Archibald Wheeler, one of the great theoretical physicists of our time, had a deeper sense of the sphere when he introduced the geon and quantum foam. Reflecting on their work with him in 1952, Charles Misner, Kip Thorne, and Wojciech Zurek give Wheeler credit for naming Planck Time and Planck Length; they concur that Planck’s 1899 calculations define the most basic units of space and time. However, Wheeler and his biographers were all blinded by an imagined infinitely-hot start, and never asked the question, “What would our universe look like if we take the Planck base units as a description of the very first instant of space and time?” Instead their thinking dropped into an impossible singularity without much clarity. Over 350 dimensionless constants tell us that there is no singularity.

[7] Pati & Salam’s preon: Others made valiant attempts to fill in the blanks and voids when they found them. Jogesh Pati and Abdus Salam were among early attempts at a Grand Unified Theory (GUT). Like the others, it was all top-down and blinded by the big bang. The first 64 notations out of 202 that encapsulate the universe could not be seen.

[8] The Planck base units: In 2011 when we were constructing our very first Big Board-little universe, we asked ourselves, what is smaller than particle physics? What is on each line from Notation-0 to Notation-64? We asked, “Are these Planck units the next big thing?” It would take several years before fully engaging the concept that the Planck base units define an infinitesimal sphere. Then followed the concept that the expansion rate of the universe was one plancksphere per plancksecond, that time is derivative, and the continuity, symmetry, and harmony of the sphere-and-pi were extended to the foundations of the finite and the heart of the infinite.

[9] Harmony Manifesting Dynamics: First challenged to engage the Fourier Transform through a New Yorker article by Cornell University mathematics professor, Stephen Strogatz, it seemed that Jean-Baptiste Joseph Fourier opened the door to study any and all dynamical relations. Though scale independent, very little work had done to apply the Fourier Transform to the Planck scale. That begins to change here with our initial recognition of five transformations.

[10] Newton and Leibniz: The infamous debate was never completed; Leibniz died so Newton won by default. He shouldn’t have won. Yet, absolute space and time is so ingrained within our beings, most of us will have a bit of trouble breaking it down. His Philosophiae Naturalis Principia Mathematica of 1686 some say is the true beginning of the discipline of physics. Others say that it is possibly the greatest textbook of all of science. One would be judged a fool to take on such standing! Yet, when ones model coheres, we should never be intimidated by an arrogant, unpleasant person. It is entirely possible that he was still wrong about our most fundamental starting points, “What is space? And, what is time?

[11] The Infinitely-Hot Start of Stephen Hawking: As recently as 2016, Hawking was the host of the PBS-special television series titled, “Genius.” Everybody working with those scripts thought the big bang was the only true religion. With such a brief period of human history, perhaps as short as 400,000 years, we do not think it is wise to tout any particular belief systems unless it in some ways reflect the continuity, symmetry, and harmony within pi and the sphere. Here are universals that in some manner reflect the fundamentals of the finite, and the essential nature of the infinite.

[12] An Infinitesimal Sphere, the first notation: Back in 2017 Neil Turok and his colleagues famously proclaimed that the big bang theory was wrong. Most significantly, they added, There is a perpetual state of big bangs. Non-intuitive, the only model to date, where such an assertion makes sense is within 202 base-2 notations whereby every notation is still active and is responsible for the expansion of the universe.

[13] Remarkable Interiority of Infinitesimal Spheres: We have a huge task before us. The references within just the Wikipedia listings for the Fourier transform are voluminous. There is a lifetime of study. We cannot hope to begin to grasp it all. But, we will try! Our web searches began with “Planck scale” + “Fourier Transform” and returned over 50,000 results. We are starting to work through them all. A cursory analysis of a few pages is most encouraging.

[14] Everything, Everywhere, throughout All Time Encapsulated, Noted, and Footnoted: That summary statement just seemed to encapsulate the simple logic that had been guiding us. If Planck Time and the Planck Length represent the smallest possible units of each, is it logically possible for anything to exist outside of those domains. We revisit the question often and will continue on our summary document and our related claims.

[15] Omniscience: Religions jumped ahead of the sciences. To the best of my knowledge, there has not been a scientific-systems theory that would incorporate the concepts found within the belief of an Akasha. That the Buddhists, Confucians, Hindus, Jains, Taoists, and all other sects that lift up Wuji philosophies have somehow seen this from within their own journey will be explored further. The closest Western religions have come to the concept is omniscience.

[16] Simplicity and the Beginning of Complexity Theory. The 64 notations from the Planck base units to the CERN scale of particle physics represents a new domain for science. I have called it hypostatic because it cannot be directly measured with physical devices. Three young scholars have suggested a means to make possible indirect measurements. I believe their work could well open new methodologies for science that go back to 1884 when Lord Kelvin speculated about the nature of dark bodies within our galaxy. The measurement of dark energy and dark matter is a beginning.

We live in a complex universe that starts most simply. Within that simplicity are the key insights about how we can co-exist and more meaningfully engage our days.


REFERENCES & RESOURCES

Reminders to return to the work of these scholars and to think more deeply about their constructs of reality. THEIR ARTICLES HAVE BEEN PART OF THE CONSTRUCTION THIS ARTICLE.

The last six homepages have been keys to this page:
The Mind, the Self, the Brain and the Human Mystery (December 26, 2020)
The First Instant of the Universe – Pi Circle, Sphere (November 27)
The Expansion of the Universe (November 16)
Change the Metaphor – Rewrite the History (October 16)
Countdown: Minutes, Seconds, Nanoseconds… (October 16)
This World Can Become A Nicer Place (September 23)


EMAILS (1 of 10)

As an article begins to take shape, friends and scholars are engaged to provide initial feedback.

The images at the top of this article are of world leaders, left to right, starting with China’s
Xi Jinping
and going to Germany’s Angela Merkel. Each of those leaders will be sent an email that goes something like this:

“As one of the key leaders of our world today, you are pictured at the top of this page.

“The entire world is in search of peace-and-prosperity, respect-and-dignity, and love-and-integrity. Unfortunately our realities are quite different. It is obvious that our understanding of this world and our universe is incomplete. We need to adjust our understanding of some of the fundamentals through which life takes shape and things develop. I believe our biggest problems relate to our incomplete understanding of one of the most common, oldest, and best-known things in our life. That is pi with her circles and spheres. The three teach us about continuity and order, symmetry and relations, and harmony and her most important dynamics whereby lines, tetrahedrons and octahedrons, become space, time, the finite and infinite.

“More work is here: http://81018.com and https://81018.com/precis/


TWEETS (5 of 23)

Eventually to drive traffic to the site and create a little buzz, key words are used to find discussions on the web with people who might be interested.

6:13 PM · Jan 16, 202, Angela Merkel: Our problems require a new vision of who we are and why we are. We must address issues that go right back to how we understand space and time and this world and universe: https://81018.com/precis/ is a start. Have your best scientists, scholars, and thinkers focus on these issues.

6:18 PM · Jan 16, 2021, Angela Merkel #2: True, but we all believe things that are not true. Old ideas need to be re-examined. What is space? What is time? What is finite? What is infinite? How did it all begin? Some of the giants were only right in their time, not ours. See https://81018.com/precis for more.

10:06 AM · Jan 21, 2021 @davidburkus @mitchjoel @LauraHuangLA @thomaswedell None of us should ever stop growing. Babies are naturally solipsistic; they only have MyView. Most adults have limited WorldViews. Leaders need an integrated UniverseView. Today, Worldviews are too small. We all need the most-inclusive perspective possible. A start: http://81018.com

4:14 PM · Jan 21, 2021 @BillClinton @HillaryClinton @davidnour Did you know that in 1899 Max Planck calculated the smallest possible units of length and time. If you apply base-2 (doublings), there are just 202 notations that define the universe from the beginning of time until now. We all need to be working on an integrated UniverseView: http://81018.com

5:38 PM · Jan 21, 2021 @antonioguterres As SG of UN, lead the world in a new vision of who we are and why. Our little worldviews need to become highly-integrated, mathematical views of the universe. Space-time becomes derivative and finite. Relations become really real. A start: http://81018.com

11:06 AM · Jan 23, 2021 @RamonCruzDiaz Just sent an email; now to follow-up. We will not break free of our narcissism and consumerism until we break free of narrow worldviews. We all need to work on an integrated universe view. Here’s a start: http://81018.com …all simple math but a framework!


Zzzzs

The last word, often afterthoughts, about this article and what is happening in our little world.

We so kowtow to our leaders. There is a long, brutal, and largely-forgotten history behind it all. In so doing, we impart a little divinity to them. When we don’t, it may be demanded. The respect that comes with leadership sometimes is not earned, but required.

So, who within our world is the best leader? Who is the wisest? Who is the smartest? Who is the bravest? Who has the most integrity? Who has the most love? Who has the most generosity? We must begin to discern and compare such qualities so all our leaders compete to hold some part of those judgments.

Ten global leaders posted, enough to fit across the page in one row:

Xi Jinping: premier@mail.gov.cn Peng Liyuan (spouse), Xi Mingze (daughter) http://www.gov.cn/
Vladimir Putin: http://en.kremlin.ru/contacts
Kim Jong-un: https://www.korea-dpr.com/ https://www.korea-dpr.com/organization.html
Mr. Alejandro Cao de Benos korea@korea-dpr.com usa@korea-dpr.com http://www.rodong.rep.kp/en/
George Soros: https://www.opensocietyfoundations.org/
Pope Francis: https://twitter.com/Pontifex http://www.vatican.va/
Joe Biden: joe@joebiden.com http://joebidden.com @POTUS
Queen Elizabeth: https://twitter.com/RoyalFamily https://www.royal.uk/
Donald Trump: https://donaldjtrump.com/ (still a leader for many people around the world)
Benjamin Netanyahu: https://t.me/bnetanyahu https://twitter.com/netanyahu
https://www.netanyahu.org.il/
Angela Merkel
: https://www.bundesregierung.de/breg-en/chancellor

Who might undertake such a project?


Key Dates for this document, Precis

  • This document was started on January 13, 2021.
  • First posted for collaborations: January 14, 2021.
  • The URL for this document is https://81018.com/precis/
  • The Prior Homepage: https://81018.com/conscious
  • First Tagline: A little precis for this website and our universe
  • The last update of this page was on January 24, 2021.