Can A Quiet Expansion Challenge the Big Bang?

December 31, 2016October 7, 2016 Bruce CamberLeave a comment

Legacy: The first rough draft as of Sunday, June 12, 2016

by Bruce Camber, New Orleans

Not too many people question the big bang theory (herein abbreviated bbt). We do. Back in September 2014 for the first time we publicly raised questions about the bbt.

The world-renown Cambridge University physicist, Stephen Hawking, is the leading spokesperson for the bbt. He has become a rock star among scientists because he has been so successful as its primary advocate.

Within his May 2016 PBS-TV series, Genius, he asks rhetorically, “Where did the universe come from? The answer, as most people can tell you, is the big bang. Everything in existence, expanding exponentially in every direction,from an infinitely small, infinitely hot, infinitely dense point, creating a cosmos filled with energy and matter. But what does that really mean and where did it all begin?” His confidence also exudes from his 1988, best-selling book, A Brief History of Time: From the Big Bang to Black Holes, and even from his foundational writing in 1973 (co-authored with Cambridge colleague, George F. R. Ellis) the highly-technical book, The Large Scale Structure of Space-Time.

Only a fool would dare challenge all this work over so many years.

So, such is life; each of us must sometime play the fool. With these facts and the basic premise established, this posting is a “rough draft.” It should become a first draft by July 4. Given the depth and breadth of the foundations upon which the big bang theory (bbt) currently rests, your comments while this posting is being refined, are most welcomed. If this embedded link does not open your email browser, my address is camber (at) bblu (dot) org or go to the Contact page. There are many key images for the big bang theory such as this image above right. More images will be added over time. Most links related to the bbt go to Wikipedia pages. Images for our model, called a Quiet Expansion (QE), will be added soon.

The key to our model is multiplication by 2, starting with the Planck base units. Those pivotal Planck calculations were done in 1899 by Max Planck. Our simple work of multiplying them by 2, and then each result by 2, over and over and over again began in December 2011. We discovered that you readily emerge at the Age of the Universe and the Observable Universe, all in just 201 steps.

That is crazy, but true. It is called “base-2 exponential notation.” It’s what cells do. It’s a bit like chemical bonding. Bifurcation theory describes another element of its dynamic. In just 201 doublings, layers or groups, you can capture the entire universe in an entirely-ordered fashion! Beyond belief? Our web presence, Big Board-little universe, can provide more background about our rather brief history.

We’ve used the Wikipedia summaries of the big bang. Wikipedia appears to represent the current thinking of most within the relevant scientific communities. These scientists have lived within this theory throughout their professional careers. It is part of their intellectual being. We believe most all of their work can be absorbed within the QE. It is just from the starting point to the inflationary epoch — less than a fraction of a fraction of a second — are pointedly questioned. With a little-but-substantial tweak, we believe all the work on the subsequent epochs can be readily integrated.

The writers within the Wikipedia community overlap with those within these scientific communities. Wikipedia, constantly in the process of refining their writing, provides several summaries of the History of the Universe based on the most current work of leading thinkers within the scientific community. The work that is based on observations has a place within the QE. Our guess is that those observations will become richer and more informative when the QE parameters and boundary conditions are engaged.

Are space-and-time unbounded or bounded? If bounded, is our universe a container universe? Are the Planck base units and all the dimensionless constants part of the definitions of the boundaries between the finite and the infinite?

Within the current bbt analysis gravitational waves arise from within their inflationary period. The bbt thought leaders ascribe a much faster-than-light expansion just after the big bang. And, that begs the question: What are the preconditions of superluminal events and motion? There haven’t been any answers since 1902 when Jacobus Kapteyn made his initial observations, since the 1983 “superluminal workshop” at Jodrell Bank Observatory, and since the subsequent studies of microquasars, their accretion disks and such phenomenon as magnetorotational instability. It is all a very special language, logic and reality; the observational results are well-defined; yet, we believe the most-penetrating conclusions are pending.

In 1970 there were competing theories about the beginning of the universe. By 1990 the bbt had become dominant. In 2011 our little group of high school geometry people began to explore the interior structures of the tetrahedron and octahedron and that is when we found within our tilings and tessellations, just over 201 base-2 exponential notations from the Planck base units to the Age of the Universe and to the Observable Universe. That continuum appeared so simple, we first engaged it as an excellent STEM (Science-Technology-Engineering-Mathematics) tool. Yet, with further study and thought, it also seemed to challenge some of our basic commonsense assumptions about nature (the back story). As we studied our new little model, the bbt continued to solidify its dominance within the general culture and we started to question it. We began to believe that the actual physics of the first moments of creation might be better defined by the simple mathematics of a quiet expansion, especially the first 67 notations. Those 67 have never been recognized as such and certainly have not been discussed within academia. The great minds throughout the ages have been unaware of the 201+ base-2 notations and those first 67 notations. So mysterious were the 67, we began more actively to think about them and to make some postulations about their place and purpose.

Our first posting about this Quiet Expansion is a result of our naive, informal, and often idiosyncratic studies of the Planck Base Units, base-2 exponential notation, and an inherent geometry assumed (hypothesized, hypostatized, and/or imputed) to be within every scale (doubling, layer, notation, step, etc) throughout the universe. We have moved slowly. Having backed into the Planck base units from our simple exercises in a high school geometry class, we were not at all sure of ourselves. So, after observing our results for a couple of years, we began asking the question, “Could this be a more-simple, more-inclusive model of the universe than the big bang theory?” Because we only have the beginnings of an outline of a model, we continued our quest and continued to ask more questions:

Can all the results of the Lambda-CDM cosmological model and the Standard Model be found and supported within our base-2 UniverseView? Rather boldly we suspect that the answer is, “Yes.” And, we are bold-or-stupid enough to say that all physical observations within the Big Bang cosmology will be supported within our Quiet Expansion. If so, the net result is a much more simple model of the universe.
Are Einstein’s general theory of relativity and Newton’s mechanics supported by the base-2 UniverseView? Of course.
Are space and time finite, discrete and quantized? Yes, that is our assumption.
To answer the question, “Then, what is infinite?,” we answer: (1) Continuity which creates every manifestation of order (equations), (2) symmetry which creates relations, and (3) dynamics, best described through harmonic analysis. Here, it seems, is the basis for natural law, ethics, value and more.
This posting assumes that the reader understands the simple history of this project and has engaged a few of the many earlier postings. Again, our big bang analysis uses Wikipedia, “The Chronology of the Universe” (as of May 2016). The Quiet Expansion analysis uses the Big Board-little universe charts. So, let’s take a closer look.

Who? What? Why? When? Where? How?

Who: The history of the Big Bang Theory (bbt) is highly documented. It is an intellectual cornerstone within experimental and theoretical physics, cosmology, and astrophysics.
What: To challenge the bbt appears foolhardy at best. Yet, there are many, many reasons to challenge it, but most of all because (1) it is overly complex and confusing, (2) it is not very good philosophy, and (3) it is very poor psychology.
Why: The first three key parts of the bbt, involving substantially less than a trillionth of a second, are based on hunches and a need to shoehorn data to support the model.

Wikipedia says, “Planck scale is beyond current physical theories; it has no predictive value. The Planck epoch is assumed (or theorized) to have been dominated by quantum effects of gravity.” We say that the Planck scale is the starting point for the initial 24 notations (de facto defined by the bbt) and that these notations are shared by everything, everywhere in the universe. Painfully aware of the limitations of our vocabulary, these first notations are considered to be archetypal forms, structure and substance. Archetypal is used in the sense of the original pattern or model by which all things of the same type are representations, the prototype, or a perfect example. For more, see each of the four pages (24 columns) encapsulating notations 1-24 (opens in a new window or tab).

Both models have made key assumptions. We believe the QE model is internally more consistent, imaginative, and stimulating.

The key: More than just the bbt‘s four forces of nature within the Planck scale, we assume a certain unification of all five Planck base units and those constants that define them, and that this unification is carried through the entire 201+ notations to the current time and present day (until proven to be otherwise). The Planck base units are defined by length, time, mass, temperature and charge. These Planck units are further defined by the speed of light (or special relativity), the gravitational constant (or general relativity), the reduced Planck constant (or ħ or quantum mechanics), the Coulomb constant (or ε₀ or electric charge or electromagnetism), and the Boltzmann constant (or k_B or of temperature).

The Planck scale is not beyond logic, numbers, and conceptual integrity. Homogeneity, isotropy and simple logic rule. Yet, within the Quiet Expansion (QE) model, we have followed a simple logic and placed the Planck Temperature at the top of the scale, just beyond the 201st notation and then it goes down, approaching Absolute Zero. We are increasingly finding a simple relational logic between the Planck base units. Of course, this logic will be revisited with every future analysis of the QE model. Within the QE model, the Planck Charge, a Coulombs value, is taken as it is given. Within the bbt, the Planck Charge is ignored and the bbt value is postulated to be as large as possible. Their measurement is given in GeV units, one billion electron volts. Add 10¹⁶ zeroes to it and you have a charge unlike any other! It is the penultimate, grand assumption that truly requires a leap of faith!

To begin to understand all these numbers and their correlations, questions are asked, “Are these all non-repeating, never-ending numbers like Pi? Are all numbers that are non-repeating and never-ending somehow part of the infinite yet also the beginning of quantum mechanics?” The suggestion has been made that we carry out each number 10 decimal places, and if need be, 100 decimal places, and possibly even 1000 decimal places, to see if patterns can be discerned.

The QE model holds that things are simple before complex and everything is related to everything. Imputed, hypostatized and/or hypothesized are pointfree vertices and simple geometries as the deep infrastructure that gives rise to the work on combinatorics, cellular automaton, cubic close packing, bifurcation theory (and the Feigenbaum’s constants), Langlands program, mereotopology ( point-free geometry), the 80-known binary operations, and scalar field theory. Here are people working on theories and constructions of the simple, yet their concepts are anything but simple.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When: In the very beginning… Wikipedia says that the Planck epoch requires speculative proposals, a “New Physics” such as “…the Hartle–Hawking initial state, string landscape, string gas cosmology, and the ekpyrotic universe.” Each is a conceptually-rich, dense jungle of ideas. Cutting through that entanglement is only for the highly-motivated and academically astute. Most of us will just go on to the grand unification epoch, in search of a logical system that builds consistently upon itself. About the bbt model, Wikipedia simply says, “The three forces of the Standard Model are unified.” Of course, the QE goes much further, however, first consider a bbt problem. Electromagnetism, gravitation, weak nuclear interaction, and strong nuclear interaction are most often related to relations defined above the 65th notation.

Wikipedia says, “Cosmic inflation expands space by a factor of the order of 10²⁶ over a time of the order of 10⁻³³ to 10⁻³² seconds.^[1] The universe is supercooled from about 10²⁷ down to 10²² kelvins.^[6] The Strong Nuclear Force becomes distinct from the Electroweak Force.” ^[1](Our emphasis) First, consider that the Planck Temperature is 1.416 83×10³² Kelvin. The bbt totally skips the cooling from 10³² to 10²⁷ Kelvin. It does not address what causes the cooling to 10²² Kelvin. Also, consider the amount of expansion and the short duration assumed in their statement above. To create that much space in that short of an interval would require light to travel so far beyond its normal speed, it would constitute the penultimate anomaly.

Also, because the bbt begins at the Planck Temperature, they truly need a supercooled concept. With the Quiet Expansion these temperatures are all superconducting being well below the superconducting transition temperatures. Perhaps the very concept of temperature will become better understood as a result of our struggles to define a different model of the universe.

About this inflationary epoch, Wikipedia says, “The forces of the Standard Model have separated, but energies are too high for quarks to coalesce into hadrons, instead forming a quark-gluon plasma. These are the highest energies directly observable in experiment in the Large Hadron Collider.”

Within the QE, if a quark-gluon plasma requires 10¹² Kelvin, it is not possible until up around Notation 136 where the temperature is up to 1.92016×10¹² Kelvin. Notation 136 is 4.6965×10^-3 seconds from the singularity. One second is between Notations 143 and 144. Also, the Kelvin scale is counter-intuitive in many ways. The temperature of the Sun is about 5,778 K. Within the QE, that is expressed between Notations 107 and 108 (7.153178×10³ K). The human temperature at 98.6 degrees Fahrenheit is 310.15 Kelvin which is between Notations 103 and 104 (4.47073×10² K). Also, at Notation 103 we find the Planck Length is now .163902142 millimeters or 1.63902142×10^-4 meters or about the size of a human egg.

The exacting nature of the correlations between the multiples of the Planck base units is just being explored for the first time. Within the QE everything everywhere is related through simple mathematics.

In Wikipedia, their category experts say, “The physics of the electroweak epoch is less speculative and much better understood than the physics of previous periods of the early universe. The existence of W and Z bosons has been demonstrated, and other predictions of electroweak theory have been experimentally verified.”

Finally the the bbt gives us something that isn’t incomplete or highly speculative. Yet, even with such assurance, the logic of the bbt is difficult to follow. Again, within the QE model the only duration that would allow for W and Z bosons is about 30 notations away, somewhere around notation 65. There is just not enough “conceptual” space and time for elementary particles and their effects.

By the way, within this simple, highly-integrated progression, there is the first measurement that has a visceral meaning for us. At Notation 32 the mass of the universe is 93.48 kilograms or about 206 pounds. By Notation 40 it is up to 2.39×10⁴ kilograms. The universe is bulking up quickly and it is creating space and time as it goes.

Also, consider this unusual concept: within every notation, the QE model aggregates base-8 pointfree vertices using scaling laws and dimensional analysis (recommended by Prof. Dr. Freeman Dyson). There are single line entries for both the base-2 and base-8 progressions within the horizontally-scrolled chart.

— most active edit area—

Big Bang Theory (bbt)

Planck epoch

Planck time:
<10⁻⁴³ seconds
~~
~~~~~~~~~~~~~~~~~~~~~~~~

Planck Temperature:
10³² Kelvin
~

Planck Energy:
10¹⁹ GeV
First key bbt error

Grand
unification
epoch

<10⁻³⁶ seconds
~

10¹⁶ GeV
(gigaelectronvolts)

Inflationary epoch
Electroweak epoch

<10⁻³³ s to <10⁻³² seconds
(QE syncs to bbt time.)

10²⁸ K to 10²² Kelvin
~

Expansion: 10²⁶ meters
Editor: “science fiction”

Second key bbt error
~

Quark epoch

Third error: >10⁻³¹ to
>10⁻¹² seconds

10¹² Kelvin
Notice there is a bbt/QE convergence

Hadron epoch

10⁻⁶ seconds to
10⁻¹ seconds

10¹⁰ Kelvin to

10⁹ Kelvin

Lepton epoch

1 second to
10 seconds

10⁹ K
Note: QE temp higher

Photon epoch-Nucleosynthesis

10 seconds to
10³ seconds to
10¹³seconds
<380 ka
~

10¹¹Kelvin to
10⁹ Kelvin to
10³ Kelvin

10 MeV to
100 keV
~

Matter-dominated era

47 ka (47,000 years) to
10 Ga (10×10⁹) years
~

10⁴ Kelvin to
4 Kelvin

Recombination

380 ka (380,000 years)
~

4000 Kelvin

Dark Ages

380 ka to
150 Ma (Mega-annus) or
150 million years
~

4000 Kelvin to
60 Kelvin

Stelliferous Era

150 Ma
(150 million years)
100 Ga
(150 billion years)

60 Kelvin to
0.03 Kelvin

Reionization

~150 Ma to
1 Ga
~

>60 K to
19 K

Galaxy formation and evolution

1 Ga to 10 Ga

19 Kelvin to 4 Kelvin

Dark-energy-dominated era

>10 Ga

<4 K

Present time

13.8 Ga

2.7 Kelvin

Quiet Expansion (QE)

Notations 0-24

0 = Planck base units

Planck time:
5.39106×10⁻⁴⁴ seconds
Notation 1: 1.0782⁻⁴³ s
Notation 24: 1.809×10−36 (s)

Notation 0: 1.416×10³² Kelvin
Notation 1: 4.4×10^-27 (K)
Notation 24: 3.69×10^-20 (K)

Notation 0: 1.8×10-18 Coulombs
Notation 1: 3.7×10^-18 (C)
Notation 24: 3.14×10^-11 (C)

~~~~~~~~~~~~~~~~~~~~~~~~~~

Notations 25 to 31

Notation 25: 1.8×10⁻³⁶ seconds
Notation 31: 1.157×10⁻³⁴ (s)

Notation 25: 6.29×10^-11 (C)
Notation 31: 4.02×10-9 (C)

Notations 32 to 40
~

Notation 32: 2.31×10⁻³⁴ seconds
Notation 40: 5.927×10⁻³² (s)

Notation 32: 1.89×10^-19 Kelvin
Notation 40: 2.42×10^-17 (K)

Notation 32: 6.94×10^-26 meters
Notation 40: 1.77×10^-23 (m)

Notation 32: 8.05×10^-9 Coulombs
Notation 40: 2.06×10^-6 (C)

Notations 41 to 104

Notation 41: 1.18×10⁻³¹ seconds
Notation 104: 1.09×10⁻¹² (s)

Notation 41: 4.84×10^-17 Kelvin
Notation 104: 4.47×10² (K)
(310K = 98.33°F, 36.85° C)

Notation 105 to 142

Notation 105: 2.18×10⁻¹² (s)
Notation 142: 3.0×10⁻¹ (s)

Notation 105: 8.94×10² Kelvin
Notation 142: 6.14×10¹³ (K)

Notations 143 to 147

Notation 143: 6.01×10⁻¹ (s)
Notation 147: 9.61 (s)

Notation 143: 2.45×10¹⁴ Kelvin
Notation 147: 3.93×10¹⁵ (K)

Notations 147 to 154 to
Notation 187

Notation 147: 9.6185 seconds
Notation 154: 1231.1 (s)
Notation 187: 1.05×10¹³ (s)
or 10,575,741,215,500 (s)
or 320± thousand years

Notation 147: 3.932×10¹⁵ Kelvin
Notation 154: 5.03×10¹⁷ (K)
Notation 187: 4.32×10²⁷ (K)

Notation 147: 3.346×10²⁶ (C)
Notation 154: 4.28×10²⁸ (C)
Notation 187: 3.67×10³⁸(C)

Notations 184 to 201

Notation 184: 1,321,967,651,940 seconds or 41,919.31 years
Notation 201: 10 billion years

Notation 184: 5.4×10²⁶ Kelvin
Notation 201: 7.0×10³¹ (K)

Notations 187

10,575,741,215,500 (s)
320± thousand years

Notation 187: 3.6×10³⁸ (C)

Notations 187 to 196

Notations 187: 320,000+ years
Notation 196:
171.2± million years
5,414,779,502,320,000 seconds

Notations 187: 4.3×10²⁷ Kelvin
Notations 196: 2.2×10³⁰ (K)

Notations 187 to 204+

Notation 196:
171.2± million years
Notation 204+:
Distant future

Notations 196: 2.2×10³⁰ (K)
Notation 204: 1.416×10³² (K)

Notations 187 to 189

Notation 187: 1.05×10¹³ seconds
or 320± thousand years to
Notation 189: 1.3± million years

Notation 187: 4.32×10²⁷ Kelvin
Notation 189: 1.72×10²⁸ (K)

Notations 187 to
Notation 201+

Notation 189: 1.3± million years

Notation 201: 10 billion years

Notations 187 to
Notation 201+

Notation 201: 10 billion years

Notation 201: 7.08×10³¹ Kelvin

Notation 201+

Notation 201: 13.8 billion years

Notation 201: 7.08×10³¹ Kelvin

At the 41st notation there are 10,633,823,966,279,326,983,230,456,482,242,756,608 pointfree vertices. The base-2 simple doublings could be aggregating structure as groups or sets. Defined by the Planck base units, in the range 41-to-60, we hypothesize that these are the domains for archetypal relations and systems. There are 549,755,813,888 base-2 pointfree vertices at Notation 41 and 5,070,602,400,912,917,605,986,812,821,504 at Notation 104.

The bbt’s Quark Epoch generalizes 63 of the QE notations, from 41 to 104. These notations within the QE model are foundational so perhaps this comparison to Quark Epoch is a key. Consider the estimated requirement for temperature. The bbt epochs can not begin until the temperature is cool enough. Given that temperature requirement, within the QE model, the Quark Epoch would not begin until up-and-around Notation 136 where the temperature has finally risen to 1.9201×10¹² Kelvin. If that is the right range, as suggested by proponents of the bbt, less than a second has transpired, the universe has a diameter of about 874 square miles and a mass of about 1.896×10³² kilograms.

Within the QE model from around Notations 65 to 69 is the transition from the small scale to the human scale. This “human scale” is the middle third of the 201 notations, i.e. 67-to-134. Even though two-thirds of the way through the 201 doublings, less than a second has transpired from the start.

In the Quark Epoch the bbt and QE begin to cross paths and overlap. Wikipedia says, “Quarks are bound into hadrons. Over the hadron epoch, the process of baryogenesis results in an elimination of anti-hadrons (baryon asymmetry).” As noted within Wikipedia, some of these perceptions come directly out of the laboratory, such as CERN in Geneva, where this phenomenon has been observed. So, other than the improbable placement within the time/temperature curve, all processes herein after become readily integrated within the QE model. The bbt and QE have overlapped and begun to become simpatico.

A key question within the QE model is, “What is a notation?” Also known as a cluster, doubling, group, layer, set, and/or step, each word is perspectival and each notation is dynamic, always in the process of being defined, right up to the current time within the 201st notation. Each notation has an active role in defining who we are and what this universe is; and, each notation has an active role in defining all other notations. Today, right now, all of these notations activelyf define humanity or the human scale (67-to-134), must therefore be something like the archetypes of forms and functions (notations 1-to-67) that define our deeper beingness. The notations from 134-to-200 define our planetary and galactic systems and this is where most of the work of those physicists, cosmologist, and astrophysicists have worked.

In just a few more notations, between 142 and 143, the universe is at the one second mark. This measurement is most often used to determine the speed of light. Yet, as noted in earlier postings, within every notation, the Planck length divided by the multiple of the Planck Time renders an approximation of the speed of light. It is just commonsense when we see that the speed of light plays prominently in the definitions of Planck Length and Planck Time.

The question to be answered, “What is the meaning of temperature? …within the bbt? Within the QE model, we impute that it is the total temperature throughout the area defined by the notation (or cluster, container, domain, doubling, group, layer, or step). This measurement within the Hadron Epoch within the bbt is now lower than it is within the QE. There is a natural correlation between all these numbers within the QE simply because they start with the same definitional characteristics (the Planck base units) and the evolution of those numbers using base-2 exponential notation. The ratio of length to temperature renders .73322+ ratio. That result is currently being analyzed, space-to-temperature or kelvin per meters.

In 1972 George Ellis and Stephen Hawking began to explore the boundary conditions that define our universe between 10^-13 centimeters (elementary particles) and 10²⁸ cm, the assumed radius of the universe. They did not approach the Planck base units which would have expanded their range to 1.616199×10⁻³⁵ meters (Planck Length) and then it would have tucked them in at about 5.1942×10²⁵ meters according to current best guesses regarding the Age of the Universe.

Universe

With very few exceptions, it was not until Frank Wilczek (MIT) wrote a series of articles,
in 2001, Scaling Mt. Planck, (Physics Today), did anybody think these Planck numbers amounted to anything more than numerology. It would take another ten more years before we would come along, naively doing our thing with base-2 exponential notation, so we are confident that all the proponents of the big bang have not engaged our quiet expansion model.

Earlier it was observed that the big bang is not good philosophy and it is bad psychology. Philosophy is taken as a study of first principles and systems, the universals and constants that create the boundary conditions as well as the continuity equations that bind our universe together. Since 1972, especially with the very key question about the very nature of the first microseconds, the bbt has not progressed very far. Their Planck epoch is still mysterious. It is bad psychology for that very reason. It is so disjointed, so out of touch with anything human, it de facto promotes a certain form of nihilism.

Theories should have elegance, beauty, coherence, and simplicity. Children should be able
to begin to understand. And with the QE, children quickly begin to understand 2 times 2.
We just have to carry it out a few more places for them.

***

Disclaimer: Our charts and discussion are our first time to make a comparative analysis
between the big bang theory (herein abbreviated bbt) and our Quiet Expansion (QE).
Silly errors are inevitable. We are neophytes, not scholars, within these fields,
so please point out any of our failures with logic, math, and physics. We will be most grateful.

This ends the first story about two very different models of the universe. Of course, it is a story that is to be continued.

How do all the religions fit into this simple model?

September 5, 2016April 11, 2018 EditorLeave a comment

The question is addressed through this letter to three leaders.

Most recent update: Monday, September 5, 2016 (Labor Day in the USA)

Ali Khamanei, Ayatollah Seyyed, Iran
Barack Hussein Obama, President, USA
Benjamin “Bibi” Netanyahu, Prime Minister, Israel

Gentlemen:

In none of your speeches has the literal interpretation of the Bible, the Qur’an, and the Tanakh (BQT – alphabetically-listed), and all the other associated religious documents with each, been brought into question and rigorously challenged in light of the universals and constants of science. (And, yes, these three groups of writings, taken as a whole, are abbreviated, BQT.)

Fundamentalism and literalism make the same mistake no matter what the belief system. Their frameworks for interpretation are too limited.

Terrorists and warriors take the historic writings within their holy books and use-and-abuse them to justify the most ungodly behavior. The universal writings of the these books reflect God (within the Abrahamic traditions, Allah, Jehovah, and Yahweh). For those of us from non-Arab-speaking countries, Allah is the Arabic word for God. To discern which writing is historic (finite) and which is universal (infinite) is the work for scholars. It is hard work, called exegesis, and the discipline is called hermeneutics.

There are many ways to know God (abbreviate Allah, Jehovah, Yahweh, AJY), also known as the Infinite, the Perfect, the One, the Creator, the Sustainer, the Imminent, the Transcendent, the Omnipotent, the Omnipresent, Omnibenevolent…

All of the historic documents, especially all those lines-and-paragraphs within the BQT that reflect the tensions of their unique times within which the words were written, need to be set aside as the history of a particular time. The universal writings, all the lines-and-paragraphs within the BQT that are timeless, not in any way time-stamped, must be developed as a basis for a working faith.*

To discern between the historic and the universal is the key to our global future.

There are many groups and movements within Abrahamic faiths that have not done exegetical and hermeneutical work. Within Christianity there is the KKK, the Christian Identity Movement, the Arayan Nations, and many more. Within Islam that includes movements like Salafism, the Muslim Brotherhood, al-Qaida, Hezbollah, Taliban, ISIL, Boko Haram, Al-Shabaab and any others who believe, “Allah is our objective… death for the sake of Allah is our wish.” Within Judaism there is the Jewish Underground which includes informal groups like Price Tag, and more formal groups like Kach, Kahane Chai, and the Bat Ayin Underground.

To know about God (AJY), one must read sacred texts. To know the face of God, one must study those elements within the sciences and mathematics that are universal and constant; here AJY reveals the very nature of the One who creates and sustains.

• The first form that defines our very being, our intelligence and our humanity is continuity, and its most basic function, a simple perfection, is to create order. In the traditions of the Abrahamic faiths — Judaism, Christianity, and Islam — this is the Creator-Sustainer God. Any order, that creates continuity, is a metaphor as well as a direct expression for the Creator-Sustainer God. Anything that creates order is from God. Anything that creates disorder is not from God, but from man.

• The second form is symmetry and in its perfection functions to create relations. In the Abrahamic tradition the perfection of that symmetry is the love doctrine, i.e., to love God with all one’s heart, soul, mind and strength, and one’s neighbor as oneself. Any symmetry that creates real relations is a metaphor and a direct expression of the presence of the Love of God. Anything that breaks relations is from man.

• The third form is dynamics and its perfection, a complex symmetry extended within time, is harmony. Again, in the Abrahamic tradition, the gift of God’s Spirit transcending a moment in space and time creates a profound joy, deep insight, compelling love… simply a moment of perfection. Any dynamic experienced as a harmony is a metaphor, albeit the real presence, of God’s Spirit within that moment.

Every scientific and religious assertion, both seeking to understand and define the universal, begins with the same first principle and evolves within its own understanding to the second and third. Therefore we have a diversity of faith statements which includes all of the sciences.

This is also the basis of the value chain. The more perfect a moment or an experience is, OR the more perfected a thing or system is, the more valuable it becomes. Thus, we have the beginnings of business. Here is the baseline beginning of value and values.

Any assertion that counters life’s evolving perfections is not religion (at best, it’s a cult*); it is also not business (it’s exploitation or a bad company); certainly it is not good government; and most often, it is not even good science.

My bottom line conclusion is simple, “Let us open another front within this epic battle with any and all people who cause the death of another.”

For more, please consider these pages:

Thank you.

Most sincerely,

Bruce Camber

*Back in 2006, I proposed a book to the Oxford University Press people,
The Synoptic Scriptures of the Christians, Jews and Muslims.
They found it interesting, but not compelling enough. It still should be done!

Editor’s note: This letter was originally written on the 3rd of March 2015 to Barack Hussein Obama, President, USA, and Benjamin Netanyahu, Prime Minister, Israel. It was then updated on Monday, December 28, 2015 to include Ali Khamanei, Ayatollah Seyyed, Iran. It was sent via the links embedded within their names above on February 10, 2016.

There is much more to come.

On building bridges between all things divisive…

June 22, 2016June 22, 2016 Bruce CamberLeave a comment

Is it possible to extend our first principles for those who harbor hostility?

Taking our very first statement (this link goes to it) used for the first principles of the television series, Small Business School, we attempt to extend it here to engage all things divisive, especially religious language and those who oppose religious language.

Divisiveness in business, family life, culture and ethics,, political life, religion, and even the sciences actually hurts all business. Divisiveness includes lying, stealing and cheating as well as waste, greed, and corruption.

What makes us human? … ethical? What gives us hope, depth, perspective?

Deep within the fabric of life there is an abiding thrust to make things better, more perfect. Though a cornerstone of business (value creation and exchange), there is much more.

There are three forms within functions that define an increasingly perfected state within every experience:

• The first form that defines our humanity is continuity, and its most basic function, a simple perfection, is to create order. In the traditions of the Abrahamic faiths — Judaism, Christianity, and Islam — this is the Creator-Sustainer God. Any order, that creates continuity, is a metaphor as well as a direct expression for the Creator-Sustainer God.

• The second form is symmetry and in its perfection functions to create relations. In the Abrahamic tradition the perfection of that symmetry is the love doctrine, i.e., to love God with all one’s heart, soul, mind and strength, and one’s neighbor as oneself. Any symmetry that creates real relations is a metaphor and a direct expression of the presence of the Love of God.

• The third form is dynamics and its perfection, a complex symmetry extended within time, is harmony. Again, in the Abrahamic tradition, the gift of the Holy Spirit is God transcending a moment in space and time to create a profound joy, deep insight, compelling love… simply a moment of perfection. Any dynamic experienced as a harmony is a metaphor, albeit the real presence, of God’s Holy Spirit within that moment.

There are scientific endeavors that observe, quantify and qualify that which is fundamentally based on discontinuities or chaos, but these studies require the inherent continuities of mathematics and other universal-and-constants to even grasp the nature of that discontinuity.

* Extremism (also, a radical elitism) in any form is not religion; it is a cult. Those groups that condone killing could readily be labeled a cult of death that respects only their own, self-defined principles of continuity that inherently create discontinuities. Although there is a lot of attention being focused on the extremists within all religions, Islamic extremists demand the most attention. These people have not grasped the fullness of Allah, and the distinction between the historic revelations and the universal revelations. They also fail to grasp and integrate the necessary universals that extend from the sciences through Allah. And for those of us who do not know Arabic, Allah is the Arabic word for God, yet without question the many different “takes” on God could be more readily integrated if all religions were to ask, “What is God’s perfection? How can we know anything about it?”

***

Even between atheists and believers

Perhaps all it comes down to is an answer to the question, “Whose metaphor is more meaningful?” You will not find many atheists who deny science. They do not deny the constants and universals that are always in the back of the science textbooks.

There are three constants within the sciences that remain clear, in spite of quantum mechanics. The first is that there is order and continuity in the world. It is the basis of knowing. In every discipline there are multiple parameter sets where this is true. Beginning in mathematics, a rather pure form of thought, abstraction and representation, we then move into physics. It has multiple parameter sets as well. There is one for Newtonian mechanics, another for General Relativity and Special Relativity and yet another for quantum mechanics. Then chemistry and biology have their own parameter sets. All these parameters simply establish the boundary conditions of what is being measured within them.

Each has a formalized language. And, each has a metaphorical language that pushes into the edges of the unknown.

The sciences all embrace varying definitions of relations yet all of these definitions are understood by a symmetry function.

Specialized disciplines with each of the sciences hypothesize about the nature of the unknown, just beyond their limits of knowledge, and all these hypotheses are a study of the deepest dynamics of their discipline. The experience of insight, the “ah-ha” of the creative surge, is experienced as a concrescence of symmetries or harmony.

The atheists mostly object to the use of specialized language. They understand rules, mores, and societal law and order even though many are nihilistic, others narcissistic, and many both.

Yet, change will come. Some of these folks will begin to realize that time is not a fundamental frame of reference and that there are qualities of life that permeate everything in every way, and that these qualities empower order, relations, and dynamics, and that these three scientific functions with the faces of continuity, symmetry and harmony just might also be understood with very personal language. When and if they do, they are on their way to create a personal bridge to religion and some of the brave among them just may cross it.

February 28, 2016December 13, 2017 Bruce CamberLeave a comment

Genesis 1:1 In the beginning God created the heavens and the earth…

As many of you already know, there are a total of 202 notations using base-2 exponentiation (mathematical continuity) and simple nested geometries to most-simply interconnect the entire universe. It would appear that there is a deep infrastructure that is created and sustained between notations 1 and 144 (1.2023 seconds) That notation defines the first second of creation. Over two-thirds of the chart are the notations that define the first second of creation.

One might conclude that there is something exquisitely important happening within the very small, seemingly instantaneous, 144-steps of creation. It will take another 17 notations before we get through just the first day of creation. In this chart it appears that the first day of creation is for all time. It doesn’t go away. It is part of the infrastructure of the universe that defines the very nature of the first day. It is still doing the work it was created to do.

One day: 86,400 seconds. Out of the 200+ notations, one day is between the 160th and 161st notations.
One week: 604,800 seconds. One week is within the 163rd notation.
One month: An average of 2,629,746 seconds, it is within the 165th notation.
One year: An average of 31,556,952 seconds, it is between the 168th and 169th notations.
One millennium: 1000 years, an average of 31,556,952,000 seconds, is between the 178th and 179th notations.
One million years: An average of 31,556,952,000,000 seconds, is between the 188th and 189th notations.
The first billion years, an eon, is approximately 31,556,952,000,000,000 seconds; it is between the 199th and 200th notations.

The universe today is approximately 435.48 quintillion seconds old. (Calculation: 31.5 quintillion seconds in a billion years, multiplied by 13.8 is 435.48 quintillion seconds.)

Each notation harbors its unique, constant-and-abiding unfolding.

And, yes, this is our little universe.

How this notational time applies to Genesis is anybody’s guess today, so let’s initiate those seven guesses:

1. The first day separates light from darkness. Though in this model, light is an inherent part of the definition of each notation (see line 10), there is what cosmologists propose as a photon epoch from 10 seconds out to about 380,000 years. Just because one solar day falls within that period, I would suggest a biblical day within Genesis 1 could possibly equal a solar day on earth. That would be perfectly symbolic. And, it would bring us up in between Notations 160 to 161.

2. The second day creates the firmament, the heavens, and the division of waters. Let us get the counsel of great biblical scholars, yet it seems, by reading ahead to day 3, that we need to be up to 150 million solar years between Notations 197 and 198.

3. The third day opens galactic formations. The earth is pegged to be around 4.543 billion years old and that brings us into the 198th notation. Though a multi-billion year notation, it is as if a day.

4. The fourth day must therefore be notation 199-to-200. Now the notations are in billions-of-years groups. Though a multi-billion (measured by solar-years) notation, the perception of it is as if just one day.

5. The fifth day defaults to notation 200-to-201. Another billions-of-year group, this notation is also but a day in God’s plan.

6. The sixth day bring us into human history which is within the 202 notation. We are blessed and charged. Though another multi-billion, solar-year notation, this “day” is only part of the 202 notation.

7. The seventh day brings us to the current day all within Notation 202.

The brief history behind uncovering these numbers…

First, in 2011 a few high school geometry classes explored a pervasive geometry and mathematics that encloses all things everywhere throughout all time.

I had been actively studying the foundations of science and religion throughout the years going back into the heydays of the ’70s with professors like David Bohm, Olivier Costa de Beauregard, Jean-Pierre Vigier, John Bell, Victor Weisskopf and others. Yet, it was only in 2011, in that high school geometry class that we discovered the universe inside simple geometric objects. The first, called the tetrahedron, can be discovered by dividing the edges by two and connecting the new vertices. We found a tetrahedron in each of the four corners and an octahedron in the middle. Do the same to the octahedron; you’ll find an octahedron in each of six corners and a tetrahedron in each of the eight faces.

Keep going deeper and deeper within each structure.

Strange thing is that in about 44 steps, you’ll run out of space. Everybody always will. You will find yourself at the edge of the smallest particles within an atom and nothing truly goes inside those spaces. But, we knew we had a long way to go to get to the smallest possible space (called the Planck Length), so on paper we continued to go within. In just 67 more theoretical steps, we were at long last down to the smallest possible size, mathematically determined by one of our great scientists, Max Planck, who first started working to develop these base units in 1899 and first published his results in 1906.

There are a total of 111 notations going within. It didn’t take too much imagination to take our original object and multiply it by two, over and over again. The results were even more surprising.

Within just seven steps that little tetrahedron is bigger than the tallest person and it has a multitude of parts. Within 30 more steps we are out well beyond the International Space Station and the complexity is overwhelming. There are no tricks, no special formulas. It is all just simple math. Each time we just double the length. Within 40 more steps we are out on the edges of the Solar System. And, within less than just 24 more steps, we are at the edges of the universe. In 90+ steps, we have mathematically defined the rest of our little universe.

That process is called base-2 exponential notation and we were most surprised that something so simple had never been discussed within our schools. Of course, Kees Boeke’s 1957 work in Holland used base-10 and it became popular. Yet, his model was never used for scientific formulations. So now we are asking our the best living scholars, “What do we do with our simple mathematical model?” It defines our universe with numbers and geometries within a dynamic tension, all in just over 201 steps or notations.

Yes, from the beginning of creation to this day there are just over 201 doublings. It is just too simple.

We began by calling this project, “The Big Board – little universe project.” It was for high school kids and one class of very special 6th graders. Later, as we added more Planck base units to the chart, we began to refer to the model as the “Quiet Expansion.” It seemed that this simple model could become a better model of our universe than the theory given within big bang cosmology. Every step (also called a notation, group, container…) becomes part of the actual definition of a real and never-ending, highly-integrated universe.

It is all based on the Planck base units and at each step, divide the Planck Length multiple by the Planck Time multiple and you’ll approximate the speed of light. Yes, each notation is filled with an essence of light. So, let there be light. Indeed!

Let us all again look at and review each of those seven steps. The first day of creation takes us up to the 160th of those 201+ notations:

One day: At 86,400 seconds, it is between the 160th and 161st notations.
One week: At 604,8000 seconds, it is between 162-165, but within the 163rd notation.
One month: An average of 2,629,746 seconds, it is within the 165th notation.
One year: An average of 31,556,952 seconds, it is between the 168th and 169th notations.
One millennium: 1000 years, an average of 31,556,952,000 seconds, is between the 178th and 179th notations.
One million years: An average of 31,556,952,000,000 seconds, is between the 188th and 189th notations.
The first billion years, an eon is an average of 31,556,952,000,000,000 seconds; it is between the 199th and 200th notations. And, for those of you who use theological language, within this current doubling, the Creator-Sustainer has taken a well-deserved “day of rest.”

This model is vastly different from any model that has ever been proposed and it needs prayers and reflection. The power and presence of your prayers as this work moves forward is requested.

Thank you.

On Constructing the Universe From Scratch

January 8, 2016January 16, 2017 Bruce Camber11 Comments

UPDATED: SUNDAY, MARCH 20, 2016 Commentary/Reflections (new tab)

An Early Draft

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

“I have learned that many of the Greeks believe Pythagoras said all things are generated from number. The very assertion poses a difficulty: How can things which do not exist even be conceived to generate? But he did not say that all things come to be from number; rather, in accordance with number – on the grounds that order in the primary sense is in number and it is by participation in order that a first and a second and the rest sequentially are assigned to things which are counted.”
– Theano, On Piety (as reported by Thesleff, Stobaeus, and Heeren)

Abstract

Using the model of the universe generated through the Big Board – little universe Project where there are just over 201 base-2 notations from the singularity of the Planck base units (particularly from Planck Time) to the Age of the Universe, the question to be addressed is, “Which numbers come first and why?” Mathematical logic calls out the most simple-yet-powerful numbers that can be used to build and sustain a highly-integrated universe. Our other assumptions are here. Each of these key numbers and number groups are introduced; each will then become the focus of additional study, further analysis, and the basis for a more-in-depth report about each number. Our initial numbers are:
(1) 3.1415926535897932384626433+ or π or Pi
(2) 74.04804896930610411693134983% or the Kepler Conjecture
(3) 0, 1 where the numbers are: zero and one
(4) 7.356103172453456846229996699812° called the Pentastar gap
(5) 1:1.618033988749894848204 or the Phi ratio
(6) 4.6692016091029906718532 which is a ratio called the Feigenbaum constant
(7) 110 of Stephen Wolfram’s rules
(8) 6.6260709×10⁻³⁴ J·s or Planck constant plus all related numbers
(9) Groups of dimensionless constants, all known mathematical and physical constants
(10) 13.799±0.021 billion years, the Age of the Universe

Please note: Links inside the body of the article most often open a new tab or window within a Wikipedia page. For those occasional inks that do not open new windows, please use the back-arrow key to return to the referring page. All links within the Endnotes will eventually go to source materials if posted on the web.

Page 1 of 10 https://bblu.org/2016/01/08/number/

Page 2 of 10

Introduction.

Most of us know the universe is infused with numbers. It seems nobody really knows how all these numbers are organized to make things and hold it all together.

In our work with high school students there is a constant demand that our numbers be intellectually accessible. Simplicity is required. So, it is rather surprising that we ended up engaging the Planck Length (and the other Planck base units) very early in our study of the platonic solids. We also started to learn about base-2 notation and combinatorics. We had to do it. We had divided our little tetrahedron in half so many times, we knew we were in the range of that limit of a length, and we wanted to find a place to stop. Eventually, to get more accurate, we started with the Planck Length, used base-2 exponential notation, and multiplied our way out to the Observable Universe.¹ It took just over 201 doublings. What? Huh?

That little fact is as unknown as it is incredible (even as of January 2016 when this article was first posted).

In December 2011 we could find no references to the 201+ notations in books or on the web. We did find Kees Boeke’s 1957 work with base-10 notation. It was a step in the right direction, but it had no lower and upper boundary, no Planck numbers, and no geometry. It had just 40 steps amounting to adding zeroes.

We were looking for anything that could justify our “little” continuum. We didn’t know it at the time, and we later learned that we were looking for those deep relations and systems that give us homogeneity and isotropy, a cosmological constant, and an equation of state. Though we already had put everything, everywhere throughout all time in an ordered relation, we had no theoria, just the praxis of numbers. We tried to set a course to go in the direction of a theory that might bind it all together.

The first 60+ doublings constitute a range that scholars have been inclined to dismiss over the years as being too small; some say, “…meaninglessly small.” Yet, being naive, it seemed to us that the very simple and very small should be embraced, so we started thinking about the character of the first ten (10) doublings. Trying to understand how to “Keep It Simply Simple,” we were pleasantly surprised to discover that there was so much work actively being pursued by many, many others throughout academia and within many different disciplines to develop the logic of the most simple and the most small.

Within the studies of combinatorics, cellular automaton, cubic close packing, bifurcation theory (with Mitchell Feigenbaum’s constants), the Langlands program, mereotopology and point-free geometry (A.N. Whitehead, Harvard, 1929), the 80-known binary operations, and scalar field theory, we found people working on theories and the construction of the simple. Yet, here the concepts were anything but simple.²

It is from within this struggle to understand how all these numbers relate, we began our rank ordering of all possible numbers. This exercise helps to focus our attention.

Planck Length and Planck Time. One might assume that we would put the five Planck base units among the most important numbers to construct the universe. As important as each is, it appears at this time that none of them will be among the Top 5. Although very special, the Planck numbers are determined by even more basic and more important concepts and numbers. At the very least, all those numbers will come first.

https://bblu.org/2016/01/08/number/#2

***

page 3 of 10

First Principles. The work to find the Top Numbers was preceded by an end-of-year report after four years of studying and using the Big Board-little universe charts. That report titled, Top Ten Reasons to give up little worldviews for a much bigger and more inclusive UniverseView ³, was done with comedian David Letterman in mind. He often had a Top Ten on his show.

“#10” for us it is, “Continuity contains everything, everywhere, for all time, then goes beyond.” One of the key qualities to select our most important numbers is the condition of continuity and discontinuity starting with the simplest logic and simplest parts.

A Quick Review of the Top Ten Numbers in the Universe.

Because many scholars have addressed the question, we did a little survey.

Pi was somewhere on most everybody’s list among our sample.
0 and 1 are obvious keys for most scholars.
Numbers like e and Phi (and the Fibonacci sequence) are on most of these lists.
There is this one equation by Euler — e^i*Pi + 1 = 0 — where five key numbers are used in what Richard Feynman considered to be the crown jewel of mathematical equations about identity.
Though infinity is not a number but a concept, it was on many lists.
The numbers for the speed of light, c, and the gravitational constant, G, are also on many lists. These numbers are keys used by Max Planck for his calculations of the Planck base units back in 1899.
The Planck Constant is quite rightly on many lists.
The Feigenbaum constants, Buckingham Pi theorem, the fine-structure constant, and other dimensionless quantities and physical constants were cited less often.
We added two numbers not cited at all: mathematician Thomas Hales‘ number from his proof of the Kepler Conjecture and what we call the Pentastar 7.38 degree gap.

Scholars and thought leaders. Our limited survey began with leading thinkers in the academic-scientific community and then thoughtful people from other disciplines:

Astronomer, Martin Rees, author, Just Six Numbers: The Deep Forces That Shape The Universe (See Section 3, “Well-known subsets,” and click on 3.2, “Martin Rees’ Six Numbers)” or go to our summary page for Lord Martin.
Cosmologist, physicist, mathematician, John D. Barrow, author, The Constants of Nature: The Numbers that Encode the Deepest Secrets of the Universe. 2003.
Philosopher/scientist, Roger Penrose, Oxford, The Penrose Number
Physicist-mathematician, James D. Stein, author, Cosmic Numbers (begin on page vii) and a summary, Popular Mechanics (September 2011).
Clifford Pickover, Wonders of Numbers summary
Journalist David Pegg has a Top 25 (May 9, 2013).
Business analysts Ben Duronio and Walter Hickey have a top 10 (July 8, 2012)
Geometer, Steve Waterman, and chemistry professor, Michael Anthony Whitehead have just four math constants that they used in the derivation of 142 physical constants. Because of their conclusions, their numbers are being scrutinized.

Base-2 notation. Yes, our work with base-2 notation originated from within a high school. We have no published scholarly articles and there has been no critical review of our emerging model. Nevertheless, we forge ahead with our analysis of numbers and systems.

https://bblu.org/2016/01/08/number/#3

****

page 4 of 10

Goals. Our singular goal is to try to construct our universe using mathematical logic. We begin with the magic of the sphere. Our #1 number is Pi (π).

#1 = π
3.1415926535897932384626433+
Numerical constant, transcendental and irrational all rolled into one

For us Pi (π) seems to be a very good starting point. Non-ending or continuous, it is also non-repeating which is discontinuous. This most simple construction in the universe requires just two vertices to make the sphere. How does it work? It appears to give form and structure to everything. Using dimensional analysis and scaling laws, this progression of the first 20 notations shows the depth of possibilities for constructions when multiplying by 8. Our open question: In what ways do the Feigenbaum constants within (bifurcation theory) apply?⁴

B2	Vertices	Scaling Vertices (units:zeroes)	Bifurcation*	Ratio*
0	0	0	N/A	N/A
1	2	8 vertices	0.75	N/A
2	4	64	1.25	N/A
3	8 vertices	512	1.3680989	4.2337
4	16	4096 (thousand:3)	1.3940462	4.5515
5	32	32,768	1.3996312	4.6458
6	64	262,144	1.4008286	4.6639
7	138	2,097,152 (million:6)	1.4010853	4.6682
8	256	16,777,216	1.4011402	4.6689
9	512	134,217,728	1.401151982029	4.6689
10	1024	1,073,741,824 (billion:9)	1.40115450223	4.6689*
11	2048	8,589,934,592
12	4096	68,719,476,736	*This bifurcation and
13	8192	549,755,813,888	ratio columns come
14	16,384	4,398,046,511,104 (trillion:12)	from a Wikipedia article
15	32,768	35,184,372,088,832	about Feignebaum’s
16	65,536	281,474,976,710,656	constant.
17	131,072	2,251,799,813,685,248(quadrillion:15)
18	262,144	18,014,398,509,481,984
19	524,288	144,115,188,075,855,872
20	1,048,576	1,152,921,504,606,846,976(18)

(discussion begins on the next page)
https://bblu.org/2016/01/08/number/#4
*****
Page 5 of 10

Discussion. Pi still holds many mysteries waiting to be unlocked. Among all numbers, it is the most used, the most common, and the most simple but complex. We assume, that along with the other mathematical constants, pi (π) is a bridge or gateway to infinity. We assume it is never-repeating and never-ending. It is “diverse continuity.” There are enough scaling vertices within ten doublings to construct virtually anything. So, to analyze a possible logical flow, any and all tools that have something to do with pi (π) will be engaged. Again, among these tools are combinatorics, cellular automaton, cubic close packing, bifurcation theory (with Mitchell Feigenbaum’s constants), the Langlands program, mereotopology and point-free geometry (A.N. Whitehead, Harvard, 1929), the 80-known binary operations, and scalar field theory. Perhaps we may discover additional ways to see how pi gives definition — mathematical and geometric structure — to our first 60-to-67 notations. What are the most-simple initial conditions?

More Questions. What can we learn from a sphere? … by adding one more sphere? When does a tetrahedral-octahedral couplet emerge? When do the tessellations emerge? At the third notation with a potential 512 scaling vertices, surely dodecahedral and icosahedral forms could emerge. Within the first ten notations with over one billion potential vertices, could our focus shift to dynamical systems within the ring of the symmetric functions?

#2 = Kepler’s Conjecture

74.0480489693061041169313498345

Not a very popular topic, one might ask, “How could it possibly be your second choice?” Even among the many histories of Kepler’s voluminous work, his conjecture is not prominent. To solve a practical problem — stack the most cannon balls on the deck of a ship — he calculated that the greatest percentage of the packing density to be about 74.04%. In 1998 Professor Thomas Hales (Carnegie Mellon) proved that conjecture to be true. By stacking cannon balls, all the scholarship that surrounds cubic close packing (ccp) enters the equation. The conjecture (and Hales 1998 proof) opens to a huge body of current academic work.⁵ There we found this animated illustration on the right within Wikipedia that demonstrates how the sphere becomes lines (lattice), triangles, and then a tetrahedron. With that second layer of green spheres emerges the tetrahedral-octahedral couplet.

Sphere to tetrahedron-octahedron couplet — Attribution: I, Jonathunder

This image file (right) is licensed under the Creative Commons Share-Alike 2.5 Generic license.

Revisions. As we find experts to guide us within those disciplines where pi has a fundamental role, undoubtedly sections of the article will be substantially re-written and expanded. Our goal has been to find the most logical path by which all of space and time becomes tiled and tessellated. Perhaps there is a new science of the extremely small and the interstitial that will begin to emerge. These just might be foundations of foundations, the hypostatic, the exquisitely small, the ideal.⁶ We plan to use all the research from Kepler to today, particularly the current ccp (hcp and fcp) research from within our universities, in hopes that we truly begin to understand the evolution of the most-simple structures.

******

Page 6 of 10

#3 = 0, 1

The numbers, zero (0) and one (1) begin the mapping of pi to Cartesian coordinates. Beginning with a circle, each sphere is mapped to two-or-three dimensional Cartesian coordinates. It is the beginning of translating pi to sequences and values. The first iterative mapping is a line, then a triangle, then a tetrahedron, then an octahedron. When we focus solely on this subject, with experts to guide us, perhaps we can engage the study of manifolds that are homeomorphic to the Euclidean space.⁶

#4 = Pentastar gap =

0.12838822… radians

7.356103172453456846229996699812179815034215504539741440855531 degrees

The little known 7.356103 degree gap is our fourth most important number, the possible basis for diversity, creativity, openness, indeterminism, uniqueness and chaos.⁷ That Aristotle had it wrong gives the number some initial notoriety; however, it is easily observed with five regular tetrahedrons which would have eight vertices. It appears to be transcendental, non-repeating, and never ending. Where the tetrahedron with four vertices and the octahedron with six have been been whole, ordered, rational, and perfect, tessellating and tiling the entire universe, the potential for the indeterminate which has the potential to become the chaotic resides somewhere deep within the system. We believe that place just may be right here.

Within this infinitesimal space may well be the potential for creativity, free will, the unpredictable, and the chaotic. Here may well be the basis for broken symmetries. Of course, for many readers, this will be quite a stretch. That’s okay. For more, we’ll study chaotic maps and the classification of discontinuities.

#5 = phi = φ = The Golden Ratio

^{= φ = 1:1.618033988749894848204586}

Of all the many articles and websites about the golden ratio and sacred geometry, our focus is on its emergence within pi and within the platonic solids. Phi is a perfection. It is a mathematical constant, a bridge to infinity. We are still looking to see if and how phi could unfold within the tetrahedral-octahedral simplex. Could that answer be within Petrie polygons? The magic of the golden ratio does unfold with the dodecahedron, the icosahedron, and the regular pentagon. Within this listing, phi has bounced back and forth with the Pentastar gap. Which manifests first? Is it manifest if it is inherent?

Starting with this article, we have begun an active study of Phi and its relations to pi and the Platonic solids. Although there are many, many papers about phi, none are from our special perspective of 201+ notations.

https://bblu.org/2016/01/08/number/#6

*******

Page 7 of 10

#6 = Feigenbaum constants

δ = 4.669 201 609 102 990 671 853 203 821 578

We are the first to admit that we are way beyond our comfort zone, yet to analyze and interpret the processes involved within each of the doublings, each an exponential notation, requires tools. This Feigenbaum constant gives us a limiting ratio from each bifurcation interval to the next…. between every period doubling, of a one-parameter map. We are not yet sure how to apply it, but that is part of our challenge.

It gives us a number. It tells us something about how the universe is ordered. And, given its pi connection, we need to grasp its full dimensions as profoundly as we can. We have a long way to go.

#7 = Rule 110 cellular automaton

There are 255 rules within the study of elementary cellular automaton. Rule 110 was selected because it seems to define a boundary condition between stability and chaos. All 255 rules will be studied in light of the first ten notations to see in what ways each could be applied. Any of these rules could break out and move up or down within this ranking. Steve Wolfram’s legacy work, New Kind of Science (NKS) is online and here he lays the foundations for our continued studies of these most basic processes within our universe.⁸

#8 = Max Planck numbers

We have been working on our little model since December 2011. Over the years we have engaged a few of the world’s finest scientists and mathematicians to help us discern the deeper meaning of the Planck Base Units, including the Planck Constant. We have studied constants from which the Planck numbers were derived, i.e. the gravitational constant (G), the reduced Planck constant (ħ), the s peed of light in a vacuum (c), the Coulomb constant, (4πε₀)⁻¹ (sometimes k_e or k) and the Boltzmann constant (k_B sometimes k). This engagement continues. We have made a very special study of the Planck Base Units, particularly how these numbers work using base-2 exponential notation and with the Platonic solids. We had started with the Planck Length, then engaged Planck Time. Finally in February 2015, we did the extension of Planck Mass, Charge, and, with a major adjustment to accommodate simple logic, Temperature. We have a long, long way to go within this exploration. Essentially we have just started.⁹

Notwithstanding, there is a substantial amount of work that has been done within the academic and scientific communities with all the Planck numbers and those base numbers that were used to create the five Planck base units. Perhaps chemistry professor, C. Alden Mead of the University of Minnesota began the process in 1959 when he first tried publishing a paper using the Planck units with serious scientific intent. Physics professor Frank Wilczek of MIT was the first to write popular articles about the Planck units in 2001 in Physics Today (312, 321, 328). From that year, the number of articles began to increase dramatically and experimental work that make use of these numbers has increased as a result. https://bblu.org/2016/01/08/number/#7

********

Page 8 of 10

#9 = Mathematical & physical constants

Given we started with pi (π), it should not be surprising that we are naturally attracted to any real data that shows pi at work such as the Buckingham π theorem and the Schwarzschild radius.

We will also bring in Lord Martin Rees “Six Numbers” as well as the current work within the Langlands programs, 80 categories of binary operations, scalar field theory, and more (such as the third law of thermodynamics and zero degrees Kelvin).

In studying the functionality of these many numbers, especially those among the dimensionless constants, we believe this list will evolve and its ordering will change often. In searching the web for more information about about dimensionless constants, we came upon the curious work of Steve Waterman and an emeritus chemistry professor at McGill University in Montreal, Michael Anthony (Tony) Whitehead. I showed their work to a former NIST specialist and now emeritus mathematics professor at Brown University, Philip Davis. He said, “There are always people who wish to sum up or create the world using a few principles. But it turns out that the world is more complicated. At least that’s my opinion. P.J.Davis” Of course, he is right; Einstein did a good job with e=mc². Because claiming to find all the physical constants derived by using pi, the isoperimetric quotient, close cubic packing and number density is not trivial¹⁰, we’ll be taking a second look. Perhaps they are onto something! We have brought their work out in the open to be re-examined and in so doing we will re-examine over 140 physical and mathematical constants. This work is also ongoing.

#10 = The Age of the Universe

13.799±0.021 billion years

This number is important because it creates a boundary condition that is generally recognized for its accuracy throughout the scientific and academic communities. Though it may seem like an impossibly large number of years, it becomes quite approachable using base-2 exponential notation. Without it, there is no necessary order of the notations.

Although there are many different measurements of the age of the universe, for our discussions we will use 13.799±0.021 billion years. The highest estimate based on current research is around 13.82±0.021 years. Also, within this study there are some simple logic problems. In 2013, astrophysicists estimated the age of the oldest known star to be 14.46±0.8 billion years.

Notwithstanding, using base-2 exponential notation all these measurements come within the 201st notation. At the 143rd notation, time is just over one second. Within the next 57 doublings, we are out to the Age of the Universe. So, with the Planck Time as a starting point and the Age of the Universe (and our current time) as the upper boundary, we have a container within which to look for every possible kind of doubling, branching and bifurcation. We can study hierarchies of every kind, every set, group or system. Eventually we can engage holomorphic functions within our larger, ordered context, i.e. the seen-and-unseen universe.¹¹ https://bblu.org/2016/01/08/number/#8

*********

This article was started in December 2015. It’s still in process. Your comments are invited.

Page 9 of 10 EARLY DRAFT.

Endnotes about our open questions, plus a few references:

1 Our Initial exploration of the types of continuity and discontinuity: Continuous-discrete, continuous-quantized, continuous-discontinuous, continuous-derivative… there are many faces of the relations between (1) that which has a simple perfection defined in the most general terms as continuity yet may best understood as the basis of order and (2) that which is discrete, quantized, imperfect, chaotic, disordered or otherwise other than continuous. These are the key relations that open the gateways between the finite and infinite.

Questions: What is a continuum? What is a discrete continuum?

2 We are simple, often naive, mathematicians. We have backed into a rather unique model of the universe. To proceed further we will need to understand much more deeply a diverse array of relatively new concepts to us; we are up for the challenge. We have introduced just a few of those many concepts that attempts to define the very-very small and/or the transformations between the determinant and the indeterminant. There will be more!

3 Of the Top Ten Reasons, the first three given are our first principles. We know it is an unusual view of life and our universe. The sixth reason advocates for a Quiet Expansion of our universe whereby all notations are as active right now as they were in the very earliest moments of the universe. When space and time become derivative, our focus radically changes. It opens a possible place for the Mind down within the small-scale universe. Our current guess is between the 50th and 60th notations. The archetypes of the constituents of our beingness are between notations 67 (fermions) to notation 101 (hair) to notation 116 (the size of a normal adult). Then, we live and have our sensibility within notation 201, the current time, today, the Now. So, this unusual view of the universe has each of us actively involved within all three sections of the universe: small scale, human scale, and large scale. To say that it challenges the imagination is a bit of understatement.

4 Open Questions. There are many open questions throughout this document. It is in process and will surely be for the remainder of my life. All documents associated with this project may be updated at anytime. There should always be the initial date the document was made public and the most recent date it was significantly updated. Although the Feigenbaum constants are our seventh number selected (and there are more links and a little analysis there), we will attempt to find experts who can guide us in the best possible use of these two constants within our studies. Bifurcation, it seems, has an analogous construct to cellular division, to chemical-and-particle bonding, to cellular automaton (especially Rule 110,) and to the 80 categories of binary operations.

5 Wikipedia, ccp, and genius. Jimmy Wales is the founder and CEO of Wikipedia. His goal is to make the world’s knowledge accessible to the world’s people. He has a noble vision within precarious times. In order to be published within Wikipedia, the material has to have its primary sources of information from peer-reviewed publications. As a result, Wikipedia is not where “breakthrough” ideas will first be presented. Blogging areas like WordPress are a more natural spot and Google quickly indexes all those blogging areas. It took only a day before they found this article. So with a little ingenuity one can quickly find many new references to new ideas and then go to Wikipedia to find the experts on that subject. Prior to this research, we had barely scratched the surface of ccp. We did not know about the Feigenbaum constants or Kepler’s conjecture. For sure, we had never seen the cannonball stacking illustration that helped us to visualize the process by which a sphere becomes a lattice, becomes a triangle, and then becomes a tetrahedron. We are quite confident that our first four numbers are the right selections possibly even within the right order. If you believe otherwise, of course, we would love to hear from you.

https://bblu.org/2016/01/08/number/#9

**********

Page 10 of 10 IN PROCESS

6 A hypostatic science. Our small-scale universe, defined as the first 1/3 of the total notations, ranges from notation 1 to just over 67. It is established only through simple logic and simple mathematics. Because it cannot be measured with standard measuring tools or processes, validating its reality requires a different approach. Because it cannot be measured with standard measuring tools or processes, validating its reality requires a different approach. Our first indication that it may be a reality is found between notations 143 and 144 at exactly one second where the speed of light “can be made” to correspond with the experimental measurement of the distance light travels in a second. Currently it appears to be one notation off which could be as brief as just one Planck Time unit.

One of our next tasks is to carry that out to a maximum number of decimal places for Planck Time and Planck Length, and then to study the correspondence to a Planck second, a Planck hour, a Planck Day-Week-Month, a Planck Light Year, and finally to the Age of the Universe and the Observable Universe.

Our goal is to determine if this is the foundational domain for the human scale and large-scale universe. We are calling this study a hypostatic science because it is a study of the foundations of foundations.

7 From SUSY to Symmetry Breaking and Everything In Between. One of the great hopes of the Standard Model and many of the CERN physicists is that supersymmetries will be affirmed and multiverses will wait. Within the Big Board-little universe model, their wish comes true. Plus, they gain a reason for quantum indeterminacy and embark on a challenge to apply all their hard-earned data acquired to embrace the Standard Model to the most-simple, base-2 model.

Here are four of our references through which we learned about the heretofore unnamed pentastar gap. The Lagarias-Zong article (#4) is where I learned about Aristotle’s mistake.
1. Frank, F. C.; Kasper, J. S. (1958), “Complex alloy structures regarded as sphere packings. I. Definitions and basic principles”, Acta Crystall. 11. and Frank, F. C.; Kasper, J. S. (1959), and “Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures”, Acta Crystall. 12.
2. “A model metal potential exhibiting polytetrahedral clusters” by Jonathan P. K. Doye, University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom, J. Chem. Phys. 119, 1136 (2003) Compete article, ArXiv.org as a PDF: http://arxiv.org/pdf/cond-mat/0301374‎
3. “Polyclusters” by the India Institute of Science in Bangalore, illustrations and explanations of crystal structure. PDF: http://met.iisc.ernet.in/~lord/webfiles/clusters/polyclusters.pdf
4. “Mysteries in Packing Regular Tetrahedra” Jeffrey C. Lagarias and Chuanming Zong.

8 Cellular Automaton. Although the discipline is intimately part of computer science, its logic and functions are entirely analogous to mathematical logic, functions, and binary operations. We have just started our studies here with great expectations that some of this work uniquely applies to the first ten notations.

9 The Planck Platform. All the numbers associated with the generation of the Planck Constant and the five Planck base units, plus the Planck units unto themselves are grouped together until we can begin to discern reasons to separate any one number to a notation other than notation 1.

10 The Magic Numbers. Mathematical constants, dimensionless constants and physical constants are studied in relation to the isoperimetric quotient, close-cubic packing, number density and to bifurcation theory and to the 80 categories of binary operations. We will working with the processes developed by geometer, Steve Waterman, and chemistry professor, Michael Anthony Whitehead and the generation of the 142 physical constants.

11 The first 67 notations. Given the work of CERN and our orbiting telescopes, we can see and define most everything within notations 67 to just over 201. The truly unseen-unseen universe, defined only by mathematics and simple logic, are: (1) the dimensionless constants, (2) that which we define as infinite, and (3) the first 60-to-67 notations. It is here we believe isotropy and homogeneity are defined and have their being. It is here we find the explanation for the most basic cosmological constant. It is here the Human Mind takes its place on this grid which claims to include “everything-everywhere-for-all-time.”

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

Please note: We are still working on this article. A running commentary is being developed within the LinkedIn blogging area for Bruce Camber. Besides editing the overall document, we’ll are still working on the end notes using some of these reference materials.

December 21, 2015December 29, 2015 Bruce CamberLeave a comment

Top Ten Reasons to give up those little worldviews
for a much bigger and more inclusive UniverseView

T h e B i g B o a r d – l i t t l e u n i v e r s e P r o j e c t

GreyLine

“Number 10.” The Infinite is known through continuity, number and order. The Finite is defined by space and time.

The first principle of the Big Board-little universe is that God the Creator creates and sustains everything, everywhere, for all time, which gives our universe continuity, the necessary condition for order.

Explanation: We uncovered two of the largest continuity equations. First, we started at the smallest possible measurements of a unit of length and time. We used base-2 exponential notation, multiplying by 2 over and over again. Using this simple math and logic, two of the most fundamental continuity equations are created within just over 201 notations or doublings from the Planck Length and Planck Time out to the Observable Universe and the Age of the Universe respectively (click here to review the chart in another tab or window). It is all very approachable and it goes right to the heart of the commonsense logic instantiated by Sir Isaac Newton’s infinite sense of space and time. Within The Big Board-little universe Project, space and time are discrete, quantized, derivative-yet-dynamic. Each has a beginning and an end. And, that changes everything.

More... And even more...

Please note: Links within each paragraph go to Wikipedia pages and most often open a new tab or window. Links from “More” at the end of each item, go to some of our earlier discussion within the project.

“Number 9!” The Love Equation is a real equation and it is best understood through symmetries.

Also a first principle of the Big Board-little universe, there are deep and abiding geometries that bind everything, everywhere, for all time, within those 201+ notations. Symmetries structure everything, both the seen and the unseen.

Explanation: Help to uncover the deepest and most-compelling symmetries throughout the universe by working with just our first continuity equation, from Planck Length to the Observable Universe. In the first notation we doubled the Planck Length. Still so small, it is meaningless. Yet, when we follow scaling laws and dimensional analysis and assume the Planck Length is a vertex, we multiply by 8 so the numbers of vertices increase, 1, 8, 64, 512, 4096… Complexification occurs rather quickly. By the 20th notation, there are over a quintillion vertices with which to work. There are at least 40 doublings (or notations or groups or sets) before there is an expression of physicality within measurable space and time. A point-free geometry (Whitehead) is assumed (hypothesized, hypostatized, imputed and/or instantiated) to give structure and definition to those first 60+ notations. The only evidence of such structure is given within the homogenity and isotropy throughout our little universe (and within the supersymmetries of particle physics). Thereafter, manifestations of symmetry are actually seen throughout the universe.

More...   Even more...  And, even more...

“Number 8.” Harmony creates a fleeting moment of perfection that inspires us and guides us.

Harmony is also a first principle of the Big Board-little universe. All those symmetries that bind everything, now begin their movements across all time within those 201+ notations. On occasion, there are moments of perfection.

Explanation: Empower symmetries to interact with other symmetries within each notation and across notations. The old concepts related to the harmony of the spheres take on new meaning. By adding the continuity equations defined by Planck Time, symmetries have more than a form; they have a function that moves within a notation and throughout the notations, creating a momentary perfection or perfected state within space-time. Also, we begin to understand the very natural antithesis, chaos and indeterminacy, especially by looking at the most basic structures with the first 60 or so notations…

More... More to come... (pages about harmony being developed)

“Number 7.” We can re-engage all the mystery in Science-Technology-Engineering-Mathematics (STEM).

Every aspect of education is touched and opened up. Our goal is to use the Big Board-little universe as a STEM resource, first within 10 high schools, then a pilot of 100, then 1000 schools…

Explanation: Help to introduce this new order of things whereby space and time are derivative of continuities and symmetries. Empower deeper insights into Science, Technology, Engineering and Mathematics within the Big Board-little universe construct. One of the initial aims of our Kickstarter program is to engage no less than 100 high schools to use the Big Board- little universe model to encourage STEM research. We can see and feel a burst of creativity that begins to address the old questions and opens up a huge boat of new questions.

More to come... (STEM work for schools is being tightened up now)

“Number 6.” Calm your soul within a Quiet Expansion of the universe.

Could the Big Bang theory be deflated by the Big Board-little universe’s Quiet Expansion (QE)? Could a QE become a source of order and inspiration within education… for the general public?

Explanation: We will build upon an article that was written in September 2014; we were thinking about the Big Bang theory while working with the chart of just the Planck Length. It seems that one could easily impute those first 60 doublings became the foundation of pervasive, unseen structural geometries that finally give rise to the physicality of particle physics. It seemed that the first 67 notations could have been a rather quiet expansion of creation.

More...

#5. You are the center of it all.

Humanity and so many facets of our human population has been marginalized by science, religious beliefs and arrogance. Within this emerging model of the universe, people are key.

Explanation: Within the 201+ notations at 100 is the human sperm cell and at 103 is the human egg. In the middle of the Planck Length doublings is the vibrancy that gives us modestly intelligent life. A molecule of water, the source of continuity within life, is just 280 picometers, within the 80th notation, has a special symmetry with so many other chemical and biological processes within the next 20 notations. If you are the center of it all, we say, “Sit up and be sure to drink a lot of water.”

More... (new tab or window; a tour of the Planck Length chart)

#4. Your Mind is actually on the grid after all.

The brain-mind debate is centuries old. The mind has had no place to be… no place to rest. Unwelcomed and questioned, here we hypostatize its place on the grid between notations 50 and 60.

Explanation: Nothing can be measured that fits into the first 60 notations or doublings of the Planck Length, so by engaging systems philosophy, we begin to construct an ideal (the same challenge that faced Lawrence Krauss with his book, A Universe from Nothing) starting with Plato’s forms. The doublings quickly become complexity. From Forms, to Structures, to Substances, to Relations, and finally to Systems, this is an idealized structure where the Mind seems to naturally reside within Systems.

More to come... (a page about the Mind is being specially developed)

#3. You have choices: Small, Medium or Large.

We have obviously thrived in the Human-Scale Universe, yet we live and have our being within the 201st notation where we find the current time. Obviously there are huge intellectual challenges ahead!

Explanation: The three major divisions of the Universe — the Small Scale, the Human Scale, and the Large Scale — each has about 67 notations. As we study the chart of the five Planck base units, we can see ourselves in many places throughout it all at the same time. We hypostatize new functionality for wormholes for the mind and begin to grasp the very nature of a blackhole. To that end we now return to Hawkings’s 1975 paper, Particle Creation by Black Holes.

More...  (goes to a page of the Planck Length chart)

#2. You can get your act together.

We have been constrained by worldviews that ignore the larger universe and our role within it. We have been constrained by a science that has difficulty penetrating those notations below the 67th.

Explanation: An Integrated Universe View changes everything. Continuity takes its place at the centerfold. The symmetries within it capture our eye and imagination. There appears to be goodness in the universe and the place of asymmetries, indeterminacy, questions and openness, and the very nature of the self begins to thrive as a creative nexus! If only my Mom were still alive, she might just understand what motivated her to say so often to me, “You’re cruisin’ for a bruisin’.”

More...

#1. Religion & Science can get together again.

Our worldviews can no longer ignore the constants and universals that define and give structure to the universe and our role within it.

Explanation: Our very-young and often naïve UniverseView is a call to all religions of every flavor. We all need a touch of humility to engage the openness of those constants and universals so we can see how each is used within the sciences and how these create bridges with the metaphors and analogies within religious history. My father was an Episcopalian turned Unitarian Universalist. As we were growing up, he would often say, “You can’t legislate morality.” He was right. It is much deeper than legislation and rules. Religion is part of the very fabric of ethics, universals, and constants. Their metaphors can be richer and more robustly textured. The Universe is so simple, so marvelous, so intricate, and extraordinarily complex all at the same time, we all should celebrate every hour of every waking moment.

More...   And more...

Top Ten Reasons

December 19, 2015April 17, 2016 Bruce CamberLeave a comment

“Number 10.” Continuity contains everything, everywhere, for all time, then goes beyond.

The first principle of The Big Board-little universe Project is that the infinite is defined by continuity, number, order, symmetry, and relations and that the finite is defined by space and time. Here the entire universe gets blanketed with simple equations.

Explanation: Help to drag the largest continuity equation out of the closet. It starts at the smallest possible measurements of a unit of length and time. That is the Planck Length and Planck Time; and, it goes out to the Observable Universe and the Age of the Universe respectively. It is all just simple math and logic. These two continuity equations, created by multiplying by 2 (base-2 exponential notation) have just over 201 notations or doublings. It is all very approachable and it goes right to the heart of our commonsense logic, the legacy of Sir Isaac Newton’s infinite sense of space and time. Within The Big Board-little universe Project, space and time are discrete, quantized, derivative-yet-dynamic; each has a beginning and an end. And, that changes everything.

More... And even more...

Please note: Links within each paragraph go to Wikipedia pages and most often open a new tab or window. Links from “More” at the end of each item, go to some of our earlier discussions within the project.

“Number 9!” Symmetries structure everything, both the seen and the unseen.

Also a first principle of the Big Board-little universe, there are deep and abiding geometries that bind everything, everywhere, for all time, within those 201+ notations.

Explanation: Help to uncover the deepest and most-compelling symmetries throughout the universe by working with just our first continuity equation, from the Planck Length to the Observable Universe. In the first notation we doubled the Planck Length. Still so small, it is thought by most to be meaningless. Yet, when we follow scaling laws and dimensional analysis and assume the Planck Length is a vertex, we multiply by 8 so the numbers of vertices increase, 1, 8, 64, 512, 4096… Complexification occurs rather quickly. By the 20th notation, there are over a quintillion vertices with which to work. There are at least 40 doublings (or notations or groups or sets) before there is an expression of physicality within measurable space and time. A point-free geometry (Whitehead) is assumed (hypothesized, hypostatized and/or instantiated) to give structure and definition to those first 60+ notations. The only evidence of such structure is given within the homogenity and isotropy throughout our little universe (and within the supersymmetries of particle physics). Thereafter, manifestations of symmetry are actually seen throughout the universe.

More...   Even more...  And, even more...

“Number 8.” Harmony creates a fleeting moment of perfection that inspires us and guides us.

Harmony is also a first principle of the Big Board-little universe. All those symmetries that bind everything, now begin their movements across all time (within just over 201 notations) from the first moment to the current time.

More... More to come... (pages about harmony being developed)

“Number 7.” You can re-engage all those mysteries in Science-Technology-Engineering-Mathematics (STEM) and start to understand it all.

Every aspect of education is touched. Our goal is to use the Big Board-little universe as a STEM resource, first within 10 high schools, then a pilot of 100, then 1000 schools…

Explanation: Everything everywhere starts simply. This new order of things where space and time are derivative of continuities and symmetries (and occasional harmonies) will empower deeper insights into fabric and applications of STEM. One of the initial aims of our attempted Kickstarter program was to engage no less than 100 high schools to use the Big Board-little universe model to re-ignite a love for science and mathematics and all their derivatives. We can see and feel a burst of creativity that begins to address the old questions and opens up a huge boat of new questions.

More to come... (STEM work for schools is being tightened up now)

“Number 6.” Calm your soul within a Quiet Expansion of the universe.

Could the Big Bang theory be deflated by the Big Board-little universe’s Quiet Expansion (QE)? Could a QE become a source of order and inspiration within education… for the general public?

Explanation: We will build upon an article that was written in September 2014; we were thinking about the Big Bang theory while working with the chart of just the Planck Length. It seems that one could easily impute those first 60 doublings to be the foundation of pervasive, unseen structural geometries that finally give rise to the physicality of particle physics. It seemed that the first 67 notations would have been a rather quiet expansion of creation.

More...

#5. You are the center of it all.

Humanity and so many facets of our human population has been marginalized by science, religious beliefs and arrogance. Within this emerging model of the universe, people are key.

More... (new tab or window; a tour of the Planck Length chart)

#4. Your Mind is actually on the grid after all.

The brain-mind debate is centuries old. The mind has had no place to be… no place to rest. Unwelcomed and questioned, here we hypostatize its place on the grid between notations 50 and 60.

Explanation: Nothing can be measured by an instrument that fits into the first 60 notations or doublings of the Planck Length, so by engaging systems philosophy, we begin to construct an ideal (the same challenge that faced Lawrence Krauss with his book, A Universe from Nothing) starting with Plato’s forms. The doublings quickly become complexity. From Forms, to Structures, to Substances, to Relations, and finally to Systems, this is an idealized structure where the Mind seems to naturally reside within Systems.

More to come... (a page about the Mind is being specially developed)

#3. You are in three places at the same time.

We have obviously been defined in the Human-Scale Universe, yet we live and have our being within the 201st notation where we find the current time. And, just perhaps, our minds exist within a Systems construct of the universe between notation 50 and 60.

Obviously there are huge intellectual challenges ahead!

Explanation: Each of the three major divisions of the Universe — the Small Scale, the Human Scale, and the Large Scale — has about 67 notations. As we study the chart of the five Planck base units, we can see ourselves in at least three places at the same time. We now need to determine how all three scales work coterminously to create personal identity. As a result, we hypostatize new functionalities for wormholes for the mind and the archetypal definition of human throughout the Human Scale Universe. Hopefully, along the way we may even begin to grasp the very nature of a blackhole. To that end we now return to Hawkings’s 1975 paper, Particle Creation by Black Holes.

More...  (goes to a page of the Planck Length chart)

#2. You can get your act together.

We have been constrained by worldviews that ignore the larger universe and our role within it. We have been constrained by a science that has difficulty penetrating those notations below the 67th.

Explanation: An Integrated Universe View changes everything. Simplicity is the starting point. Continuity takes its place at the centerfold. Symmetries within it capture our eye and imagination. There appears to be goodness in the universe and the place of asymmetries, indeterminacy, questions and openness, and the very nature of the self begins to thrive as a creative nexus! If only my Mom were still alive, she might just understand what motivated her to say so often to me, “You’re cruisin’ for a bruisin’.”

More...

#1. Religion & Science can get together again.

Our worldviews can no longer ignore the constants and universals that define and give structure to the universe and our role within it.

More...    And more...

You are invited to be involved.

Foundations Within Foundations – Just Common Sense

December 12, 2001October 4, 2016 EditorLeave a comment

What makes us human? …ethical? What gives us hope, depth, perspective?

Deep within the fabric of life there is an energy, an abiding thrust to make things better, more perfect. That is the cornerstone of business, but much more.

Simple logic tells us that there are three forms within functions that define an increasingly perfected state within an experience:

The first form that defines our humanity is order and its most basic function, a simple perfection, creates continuity.
The second form is a relation and its function creates symmetry.
The third form is dynamics and its perfection, a complex function, is harmony.

All scientific and religious assertions that seek to understand and define the universal, begin with the same first principle and evolve within their own understanding and language to the second and third. Yet, the starting point -continuity- necessarily tells us that everything is necessarily related.

This is also the basis of the value chain. The more perfect a moment or an experience is, OR the more perfected a thing or system is, the more valuable it becomes. And, in the deepest sense of the word, it also becomes an expression or manifestation of love.

Thus, we have the beginnings of business (and economics), ethics and morality.

Any assertion that counters life’s evolving perfections is not religion (at best, it’s a cult*); it is also not business (it’s exploitation or a bad company); certainly it is not good government; and most often, it is not even good science.

There are scientific endeavors that observe, quantify and qualify that which is fundamentally based on discontinuities or chaos, but these studies require the inherent continuities of mathematics and constants-and-universal to grasp the nature of that discontinuity. –BEC

Notations 32 to 40 ~

Notation 105 to 142

Notations 143 to 147

Notations 147 to 154 to Notation 187

This ends the first story about two very different models of the universe. Of course, it is a story that is to be continued.

Even between atheists and believers

UPDATED: SUNDAY, MARCH 20, 2016 Commentary/Reflections (new tab)

#1 = π 3.1415926535897932384626433+ Numerical constant, transcendental and irrational all rolled into one

#2 = Kepler’s Conjecture

#3 = 0, 1

#4 = Pentastar gap =

0.12838822… radians

7.356103172453456846229996699812179815034215504539741440855531 degrees

#5 = phi = φ = The Golden Ratio

= φ = 1:1.618033988749894848204586

#6 = Feigenbaum constants

δ = 4.669 201 609 102 990 671 853 203 821 578

#7 = Rule 110 cellular automaton

#8 = Max Planck numbers

#9 = Mathematical & physical constants

#10 = The Age of the Universe

13.799±0.021 billion years

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

Top Ten Reasons to give up those little worldviews for a much bigger and more inclusive UniverseView

“Number 10.” The Infinite is known through continuity, number and order. The Finite is defined by space and time.

Please note: Links within each paragraph go to Wikipedia pages and most often open a new tab or window. Links from “More” at the end of each item, go to some of our earlier discussion within the project.

“Number 9!” The Love Equation is a real equation and it is best understood through symmetries.

“Number 8.” Harmony creates a fleeting moment of perfection that inspires us and guides us.

“Number 7.” We can re-engage all the mystery in Science-Technology-Engineering-Mathematics (STEM).

“Number 6.” Calm your soul within a Quiet Expansion of the universe.

#5. You are the center of it all.

#4. Your Mind is actually on the grid after all.

#3. You have choices: Small, Medium or Large.

#2. You can get your act together.

#1. Religion & Science can get together again.

“Number 10.” Continuity contains everything, everywhere, for all time, then goes beyond.

Please note: Links within each paragraph go to Wikipedia pages and most often open a new tab or window. Links from “More” at the end of each item, go to some of our earlier discussions within the project.

“Number 9!” Symmetries structure everything, both the seen and the unseen.

“Number 8.” Harmony creates a fleeting moment of perfection that inspires us and guides us.

“Number 7.” You can re-engage all those mysteries in Science-Technology-Engineering-Mathematics (STEM) and start to understand it all.

“Number 6.” Calm your soul within a Quiet Expansion of the universe.

#5. You are the center of it all.

#4. Your Mind is actually on the grid after all.

#3. You are in three places at the same time.

#2. You can get your act together.

#1. Religion & Science can get together again.

Notations 32 to 40
~

Notations 147 to 154 to
Notation 187

#1 = π
3.1415926535897932384626433+
Numerical constant, transcendental and irrational all rolled into one

^{= φ = 1:1.618033988749894848204586}

Top Ten Reasons to give up those little worldviews
for a much bigger and more inclusive UniverseView