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Some of the more far-reaching implications of the Big Board-little universe model

Introduction.  The Big Board-little universe Project uses base-2 exponential notation from the singularity of the Planck base units going out to this present time, Right Now, to encapsulate everything, everywhere, throughout all time1. Though seemingly a bit of  an overstatement, the simple mathematics and logic appear to corroborate such a conclusion. The implications of this fledgling model seem rather far-reaching so five are presented for the discerning analysis and critical review of scholars and thinkers.

Some of the more far-reaching implications of the Big Board-little universe model:

  •  This model begs the question about the finite-infinite relation.  If space and time are derivative, finite, quantized and discrete, then what is infinite? Our working answer is continuity which creates order, symmetries which create relations, and harmonies (multiple symmetries working together) which create dynamics. These are the inherent qualities that define the infinite for science.2
  • There appears to be an ethical bias to the universe. Continuity-order, symmetry-relations, and harmony-dynamics also begin to define a valuation system whereby every notation at every moment has a perceived and dynamic value.3
  • Each notation defines an element of the current universe. Even though time is derivative, it still defines a duration within a single notation. Even though space is derivative, it still defines a length within which particular things have their beingness. In this model each notation has its own particular beingness. The entire universe actively appears to share this length (space) – time infrastructure within the small-scale universe.
  • The structure for homogeneity and isomorphism is defined within the small scale. It is also the bridge between the finite and infinite so renormalization works in quantum electrodynamics and universality works throughout physics on every scale.4
  • This model appears to trifurcate nature. These three seemingly natural domains of this model of the universe appear to be episodic:
    (1) The small scale from notation 1-to-67 could generally be described as ontology and each notation just might manifest again within the human scale and then again within the large scale.
    (2) Perhaps the human scale from notations 67 to 134 could be understood as the domain for epistemology. In some manner of speaking all 67 manifest in the notation for the current time.
    (3) The large scale from notation 134 to 201 is currently considered the domain for cosmology. It begins when the duration (or speed) is less than one second (see notations 142 to 143). Within notation 200 (possibly 201) is the current time.  Its duration is approximately 10.8 billion years.  The duration at notation 134 is within a thousandth of a second.

    Of course, each duration for each notation gets increasingly short as we approach the Planck Time. The duration at notation 67 is 10-to-the-negative-23 seconds (10-23).  Notation 67 is approximately the Planck Length multiple where fermions and protons appear.  There will be many adjustments of these numbers as others help to fine-tune the model.5

All people and things appear to be trifurcated.

One might hypothesize or hypostatize that from the small-scale universe we get our being. Systems are imputed between the 50th and 60th notation; and within systems, the human mind has also been imputed have notations within which to be.

From the human-scale we get our knowing.  Carl Jung called these archetypes.  A special vocabulary will emerge for this part of our self-definition.

Within the Now, this moment, today, there is an integration as a thing, an entity.  All human history, all civilization is within the 200th notation.  Just as an aside, if time travel were to become possible, it will be as an observer. Interactions would also require trifurcating, i.e. simultaneously entering the space and duration of the being and knowing of any given moment in time.

For more, consider these pages:

  1. The Big Board-little universe Project
  2. Top Ten Reasons Top Ten Reasons to give up those little worldviews for a much bigger and more inclusive UniverseView. These are the inherent qualities that define the infinite for science.
  3. Every moment has a perceived and dynamic value.
  4. An analysis of numbers
  5. A Simple View Of The Universe
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Sheldon Glashow

On Fri, Oct 19, 2012 at 7:19 PM, Bruce Camber
Bruce Camber wrote:

Dear Prof. Dr. Glashow:

Just over 34 years ago I contacted you regarding a special project at MIT called, “An architecture for integrative systems.”  It was a display project in the main rotunda just off Massachusetts Avenue. It borrowed Erwin Schrodinger’s title from his much earlier work, “What is life?”  Seventy-seven leading, living scholars participated and you were one of them.

We are taking that old product and re-purposing it online within a very similar framework — Small Scale, Human Scale, Large Scale — however, we are using base-2 exponential notation from the Planck Length to the edges of the observable universe which gives us over 201 ordered steps in which to context information.  By assuming nested geometries at each doubling, it seems that we will have an inherent structure for analogous or metaphorical connection-making.

But before we go to far, I would like to re-engage you and ask for your advice:
1.   If the Planck Length is a dimensionful number representing a singularity or a point, can we multiply it by 2 and assume two points? ..multiply it again and assume 4, then 8, 16, 32 and on up to 1024 by the 10th doubling?
2.   Can we assume nested geometries throughout?
3.   We will use the same infrastructure as used by Wikipedia to build it out, so owner’s of information can readily edit and update content. Is there any particular recent work to which you would want us to take note?

Thank you.

Most sincerely,

Bruce
************
Bruce Camber
Small Business School, a television series on PBS stations

PS.  A few simple web pages provide more background:
Overview:
Background:
Our working model:
Discussion:

On getting beyond religious boundaries

Why Religion? Which Religion?

To you who call yourself religious,
you may call yourself by a particular name,
Christian, Jew, or Muslim (Abrahamic faiths), or
Bahá’í, Buddhist, Hindu, Jain, Sikh (Indo-European religions) or
Confucian, Taoist, or one of many different specially-defined, local groups of believers: Though my focus is on the first three groups because the tensions between them are so high and they are influencing the character of our little world, I write to all who have faith in God or many Gods.Here the literal interpretation of your religious texts will be questioned and challenged. Yes, the literal interpretation, whether it is of the Bible, the Qur’an, or the Tanakh or any other Religious Writings (and all the other associated religious documents with each), is limiting our depth of thought.

Fundamentalism and literalism make the same mistake no matter what the belief system. The frameworks for interpretation are 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. The historic writings reflect humanity.

Within the Abrahamic traditions, there is 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 your God, 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 your Religious Writings 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 your Religious Writings 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 your God, 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. And, those texts with no time stamp within our Religious Writings truly reveal the very nature of the God who creates and sustains. Here is a guide:

•    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 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 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.”

Thank you.   – Bruce Camber

For more, please consider these pages:

*Back in 2006, while working on our television series, Small Business School, 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: An early form of this post was a letter, 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 those links embedded within their names (on that page) on February 10, 2016.

Martin Rees, Astronomer

As part of our effort to discern the Top Numbers of Key Importance within our little universe for The Big Board-little universe Project, we have begun to study the work of Lord Sir Martin Rees of Oxford, particularly his book of the title, Just Six Numbers: The Deep Forces That Shape the Universe, 1999, Weidenfeld & Nicolson, London (173 pages)

His six numbers are:

  1. N, the ratio of the strength of the electrical force to the gravitational force (reviewer, Peter Roberts, Visions.
  2. ε (epsilon)( definition of limits?)
  3. Ω (omega), measures the amount of material in the universe
  4.  λ (lambda) (?)
  5. Q,  the degree of structure in the universe
  6. D, the number of spatial dimensions, 3

Here is what Wikipedia says:

Martin Rees’s Six Numbers:

“Martin Rees, in his book Just Six Numbers, mulls over the following six dimensionless constants, whose values he deems fundamental to present-day physical theory and the known structure of the universe:

“N and ε govern the fundamental interactions of physics. The other constants (D excepted) govern the size, age, and expansion of the universe. These five constants must be estimated empirically. D, on the other hand, is necessarily a nonzero natural number and cannot be measured. Hence most physicists would not deem it a dimensionless physical constant of the sort discussed in this entry.

“Any plausible fundamental physical theory must be consistent with these six constants, and must either derive their values from the mathematics of the theory, or accept their values as empirical.”

“A long-sought goal of theoretical physics is to find first principles from which all of the fundamental dimensionless constants can be calculated and compared to the measured values.”

What Did We Ever Do Without Our Universe View?

1957: The Beginnings of a somewhat Integrated Universe View

In 1957 Kees Boeke’s book, Cosmic Vision, The Universe in 40 Jumps, was published; it was the first integrated view of the known universe. He could have but did not engage the Planck base units. He could have, but did not consider any geometric calculations. Yet, he did get the attention of prominent scientists including Nobel-laureate, Arthur Compton. Thereafter, the Eames film, the Phylis and Philip Morrison book, Powers of Ten, the IMAX (Smithsonian) movie (guide), and the Huang’s scale of the universe opened this conceptual door for anyone who chose to walk through it.  Anyone could begin to have an integrated view using base-10 notation of the entire universe. It was a fundamental paradigm shift; all the attention given to it has been justified.

Most of the world’s people live within what we might call, their OwnView.  Even though subjective and often quite naïve, the elitists and the solipsistic and narcissistic among us, lift up that view as the best view, the only view, and/or the right view.

If and when we start to grow up, spread our wings and begin to explore beyond our horizons, we develop an objective view of the world.  As we integrate more and more facets of our subjective and objective views, it begins to qualify as a WorldView (in the spirit of the old Weltanschauung).

In light of Boeke’s work, the next step for all of us is to bring whatever WorldView we have, and see how it fits and works within a view of the entire universe. Kees Boeke’s work is historically the very first UniverseView. Although Boeke only had 40 jumps and used base-10 exponential notation, it is still the first systematic view of the entire Universe.

2011:  A Second Universe View Emerges From Another High School

A high school geometry class just up river from the French Quarter of New Orleans developed what appears to be the second systematic UniverseView.  It is quite a bit more granular than Boeke’s work and it originated from the students’ work with simple embedded and nested geometries. Using base-2 exponential notation this  group emerged with about 202+ doublings, layers, notations, or steps from the Planck Length  to the Observable Universe.  Eventually beside each length, the calculations from the Planck Time out to the Age of the Universe were added.

This fully-integrated UniverseView first emerged in December 2011 and was officially dubbed, “Big Board – little universe.” One of the initial boards was over eight feet high and the second and third generations were around 60 inches high.  The entire universe, mathematically-and-geometrically related within 200 or so notations, seemed to bring the universe down to a manageable size!

Now, what do we do with it?

The first thought was that this UniverseView with its 200+ notations could be a good container for Science-Technology-Engineering-Mathematics (STEM) education.  It puts everything in the known universe within a simple ordering system.  Then, in January 2012, in the process of trying to find scholarly references to understand the foundations of their work, the students and their teachers discovered Kees Boeke.  In so many ways, it was a vindication — “Somebody had been here before us.”  Yet, even with all the fanfare around Boeke’s work, not too much was done to extract meaning from that model.

The base-2 model is quite different. It has simple geometries and a more granular mathematics.  The students and teachers thought this ordering system might help to answer those historic queries by Immanuel Kant about (1) who we are, (2) why we are, (3) where we are going, and (4)  the meaning and value of life.

Given this model has a starting point and an end point, the students and teachers opted to see the universe as finite.  Always encouraging students to go deeper in their understanding of mathematics, their teacher, Bruce Camber, commented To engage the Infinite it appears that we hold the objective and subjective in a creative balance and that balance is called geometry, calculus and algebra through which we can more fully discover relations.”

Boeke’s base-10 work has an important role in history.  It gave the human family a starting point to see an ordered universe.  The base-2 model takes the next step. Instead of just adding or subtracting zeroes, it adds 3.333 times more steps or doublings. It provides more data to explore the simplest continuities, relations and dynamics within and between each notation.  Base-2 is the heart and spirit of cellular division, chemical bonding, complexification (1 & 2), and bifurcation.

Perhaps it is here that the academic community might begin to create a truly relational, integrated and functional UniverseView. Surely it is here that we find the rough-and-tumble within science.

So, although base-2 UniverseView is the second UniverseView, it seems to hold some promise.  And though these are preliminary models,  just a crack in the doorway, what a sweet and simple opening it is.  Perhaps Kepler would be proud.

This high school group is now just starting to discover the work of  real-and-graciously-open scholars.  With the help of this larger academic community, our work just might  somehow capture the spirit of one of the world great physicists throughout history, John Wheeler, when he said, “Behind it all is surely an idea so simple, so beautiful, that when we grasp it — in a decade, a century, or a millennium — we will all say to each other, how could it have been otherwise? How could we have been so stupid for so long?” 

 

Dark Matter, Cosmology and the Large-Scale Universe

First draft. In process. Your feedback is key.  Last update: January 19, 2016

Yes, today is Thursday, November 26, 2015. Paris is healing. Al-Raqqah is burning. And, without question, we all need a new model of who we are and why we are. There is simply too much darkness within this world and within our views of the universe.

Many people are aware that we have been on a speculative journey 1 that began in 2011 in a high school. Our journey is based on an idiosyncratic way of looking at our universe.2 Everything, everywhere, throughout all time is contained within just over 201 base-2 exponential notations from the Planck Base Units out to their largest possible measurements, always “this given moment”  or the Now.  Although our charts are simple, logical, and comprehensive,  and all the numbers show us an exquisitely interconnected universe, they challenge some of our commonsense worldviews.

It is not easy to change one’s conceptual frame of reference. Oftentimes I feel a little slow because it becomes so difficult to put one-and-one and two-and-two together. But, we are motivated to break through the bottleneck of questions that have remained unanswered over our lifetime and throughout the centuries. We are pushed to ask, “What are we missing?” Taunting myself, I say, “Go over this one more time; you really are missing something here.”

Dark Matter and Dark Energy are in that camp for me. Yet, recently a faint light has come on. A new book by physicist, Lisa Randall, had become a subject of a discussion over lunch.  The subjects of cosmology have always been way out there for me. Since childhood, especially on the occasion of a dark, clear Maine night, I have had a visceral reaction to it all. Spooked, jammed and suffocated by the vastness of the seemingly infinite universe, truly impossible to take it in, I learned to avoid cosmology and astronomy.

Dark Matter 3, 4 (links that go to Wikipedia open new tabs or windows).  I had begun thinking that Dark Matter was a misnomer. Within the Big Board – little universe model, it is not dark per se, especially if part of the first 60 notations where there is an absence of light. Within our isotropic and homogeneous universe, space-time-charge-mass-and-temperature have a tightly-woven fabric, tiled and tessellated defined by base-2 exponential notation and the Planck Base Units.

Though associated with analyses of structures on the order of galactic scale, Dark Matter may best be seen within the context of all 201+ base-2 notations, yet especially the first 60 or so notations.

Everything, everywhere, throughout all time.  That is the simple mathematical model we call the Big Board-little universe.  We can see that space and time are contained.  We can see a very simple beginning  and we see-experience-feel the current time.  We have our seeing-experiencing-feeling moments within the current time which is within the 201st notation.  We have the physical definition of parts, for now I call these our physical archetypes  between the 67th and 116th notations within the Human-Scale Universe.  Our most essential being, the archetypes of our archetypes, are within the small-scale universe. Everything-everywhere-throughout-time has some kind of presence with the small-scale, human-scale, and large-scale universe. 

There will be many challenges ahead to texture, define and defend such statements especially given that Dark Matter now constitutes only as much as 26% of the universe.5   Out of our naïveté, it just may be that our simple model, this Big Board – little universe,  gives Dark Matter a space and time, mass and charge, and a reason for being, and for being where it is.Gold & Diamonds

I believe our little chart is like a gold and diamond mine because the key figures of the universe are all there just waiting to be examined.  These figures have been given a cursory review.  It is now time for the professionals to go in and take a hard look.  I believe we can find configurations within those first 60 notations that can give rise to the observations and research throughout the entire history of cosmology and astronomy.

Most speculative:  The small-scale universe is the human-scale universe is the large-scale-universe. It is discrete, quantized and derivative of continuities and symmetries and even an overarching harmony of the universe. Within this speculative journey we are defined by every notation. Our particularity and humanity come out within the 101 to 116th of the Planck Length but we are fully at the 201+ notation within “the moment” or “the now.”

A special challenge will be to  come up with a better name than Dark Matter.  Although the inherent continuity equation for those 201+ notations has classic characteristics generally used to describe God, here we will rely strictly on the simple logic and mathematics, the Planck Base Units, and basic geometries to create the parameters for our naming convention.

Dark Energy. Though this conceptual frame of reference is related to the expansion of the universe, and dark energy weighs in at 68.3% of the total energy in today’s observable universe, we would postulate that it, too, is related through the Planck Base Units and the systemic expansions within the first 60 steps of the Big Board – little universe model. Light (a light second) does not appear until the 143 notation; that requires another 80 or so steps or notations or doublings from those first 60.

Projections. It has been almost four years since we began the discussions about our charts of the Big Board – little universe.  It was only three years ago that we were encouraged to continue our study of the Planck Base Units by Prof. Dr. Frank Wilczek6,7 of MIT (a world-renown physicist and champion of Planck’s work). In December 2014 Planck Time was added to the chart.  Then, in February 2015 the other Planck base units were included.

Obviously, for me, concepts need time to incubate.

First, as uneven as we are, I hope we are getting closer to justifying to the academic communities to come in to take a look at the inherent structures of the first 60 notations. To begin examining how those first 60 notations came to be and why they have been ignored, we have begun to focus on all the research and all the data from cubic-close packing (ccp), face-centered cubic (fcc), hexagonal close-packed (hcp), root system (A3) and Lie theory. It seems that all these applications and functions apply to the first 60 notations. And, inside those first 60 steps come all the dimensionless constants and soon thereafter, all the physical constants, and soon thereafter, the fermions and every expression of physicality.

That’s a rough outline within which our research of the first 60 notations will proceed. Now, where’s Lisa Randall 8 this morning and what has she been saying about dinosaurs?

Thank you.

***

Endnotes:
1  Speculative journey, dubbed the Big Board – little universe, began in December 2011 in our high school geometry classes.
2  Idiosyncratic way of looking at our universe is actually based on simplicity itself. In December 2014, Planck Time was added alongside the Planck Length. That was filled with pleasant surprises. Then in February 2015, the Planck Mass, Planck Charge, and Planck Temperature were added.
3,4,5  Dark Matter is the subject of many scholarly articles.  The Wikipedia entries, however, are straightforward, easy reading:
https://en.wikipedia.org/wiki/Dark_matter
https://en.wikipedia.org/wiki/Lambda-CDM_model
https://en.wikipedia.org/wiki/Planck_%28spacecraft%29#2015_data_release
6,7  Prof. Dr. Frank WilczekThroughout December 2011 and then throughout the following year, I asked literally hundreds of people, “Can you responsibly multiply the Planck Length by 2?” In December 2012, we got a response, an answer from Prof. Dr. Frank Wilczek,  “One can certainly divide (or multiply) by two repeatedly, and generate different numbers or scales, just as one can with powers of ten.”
https://bblu.org/2012/09/03/analysis/#Wilczek
https://bblu.org/2015/07/24/simple/#CMO
8 Many years ago, back when we were doing our weekly television productions, I called and talked with Lisa Randall about doing a PBS-special about her book, Warped Passages. She had been inundated with such proposals. Subsequently, in 2012, I sent a note to ask about the cogency of our base-2 model. We had been told by an astute-but-young theoretical physicist (who asked to remain anonymous) that our work was idiosyncratic, but he wasn’t quite ready to say that it was not even wrong. We’ve asked some of the finest scientists from around the world and the brave among them in some way said, “Carry on (…but please don’t quote me).”

Lisa’s new book, Dark Matter and the Dinosaurs: The Astounding Interconnectedness of the Universe, reaches the same general conclusion as we do about the connectedness of the universe, yet I am rather confident that she would distance herself from our work and the reasons for our conclusion!

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

A few of the articles that have been written over the years.  These are all being updated and consolidated here.

Are the first 67 notations key missing links?

Could an integrated Universe View1 open new approaches to old academic questions? Because it redefines our understanding of space and time, it seems to open that possibility.

Sir Isaac Newton’s space and time became an absolute frame of reference2 and the basis of commonsense logic for well over 300 years. But, what if space and time are derivative, discrete and quantized? What if both have a specific beginning, the Planck Base Units, and today’s current time-length-mass-charge-temperature of the universe, or the Now, are always the endpoints? What if every notation is a highly-integrated part of the whole?

There are just over 200 base-2 exponential notations from the Planck Base Units to this moment, your “today.”  That range is best defined as the Age of the Universe.

Within our Universe View, also known as Universe Table and Big Board-little universe, the first 67 doublings cannot be measured at the singularity of the Planck base units. Planck time cannot even be measured at the 67th doubling. Though driven by a simple logic, simple mathematics, and very simple geometries, those first 67 doublings per se are not part of our observed universe and are currently not part of academic analyses.3

Given this situation, we advocate that the nature of space and time be reopened for scrutiny in light of these first 67 steps. Could these steps be the missing links that open real pathways to new insights into historic, impossibly-difficult and persistent, unanswered, academic questions that exist across all the disciplines? To open such a discussion, brief summaries and a few links will be provided within some of those large categories of human endeavor.  Eventually in-depth articles for each will be written and linked from here:

The longstanding goal of this article is to open the discussion to explore how these statements could be true and in what ways they are not true.

We invite you to join us to determine if and how these 67 notations just might be the infrastructure within which age-old questions can be addressed in new ways.

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

Endnotes, Footnotes, and References:
1. We have begun building a bridge to the 68th notation, the place where things begin to be measured in space and time. We will be using all the current research at research labs such as CERN, and speculative work such as the Langlands programs and amplituhedrons. Pi, all the dimensionless constants, the physical constants, pure geometries, and numbers and ratios will all be used in new ways.

This article is our appeal for help.

2. Sir Isaac Newton’s space and time became an absolute frame of reference

3. Within those first 67 notations are a different set of building blocks for the universe. If we bring to bear all of the geometries (projective, analytic, combinatorial..), including the simplest geometries (cellular automaton and the platonic solids), a little bifurcation theory and the 80-known binary operations, perhaps we can begin to intuit how forms become structure, then substance, then qualities, relations and systems, increasingly-and-exquisitely complex with literally trillions-upon-trillions of possible combinations and expressions, right on up to the fermions, bosons, skyrmions and all combinations of elementary particles that make up the Standard Model (SM) and the SMPP for Standard Model for Particle Physics.

Much more to come: Entropic forces and causal determinacy

On Developing A Rationale For A Working Model Of the Universe Based On A Quiet Expansion

Please note:  Reviewed,  January 14, 2016 at 1:01 AM GMT.

Abstract: Key embryonic insights from within high school geometry classes back in December 2011 are postulated as a most simple, logical, hypostatic structure of the universe, a base-2 progression from the Planck Length  to the Observable Universe. In September 2014 the naive question was asked, “Could the universe be based on a quiet expansion not a Big Bang?”  When the numbers from Planck Time to the Age of the Universe were added in December 2014, this concept of a quiet expansion seemed less speculative. In February 2015 the remaining Planck base units were added to the chart.  By August 2015 extensive questions were raised primary among them, “Can this chart be integrated with the Lambda-CDM model (the parameterized cosmological model)?” The immediate task of this paper is to explore those questions in light of the numbers at each doubling to help to discern reasons why this simple model warrants the attention of the academic community.

Simple facts, figures, and logic in search of a theory.  The chart with  five columns for each of the base Planck units and 204 notations down, 1020 boxes, provides real data to examine the logic flows both across and up-and-down.  The goal of this article is to examine no less than 10 boxes. Looking across would be 50 boxes; adding two or three boxes up and down would total over 150 boxes.  Ten percent should be enough to learn if a simple logic actually flows through the numbers.  If it does… well, perhaps we have a new science in the making.

201+ Notations Begin With The Planck Length.  The simple mathematical progression that rendered the 201+ base-2 exponential notations was the result of following embedded geometries going smaller and smaller until in the range of the Planck Length. Going in the other direction, larger and larger, was achieved by multiplying by 2 until in the range of the Observable Universe. The total, just over 201 doublings, could not be found within the writings of the academic community. The base-10 work done back in the 1957 by Kees Boeke and his high school classes in Holland was abundantly indexed; there were no references to a base-2 progression from the Planck Length to the Observable Universe, especially as a result of following embedded geometries within the tetrahedron and the primary octahedron within that tetrahedron.

Planck Time to the Age of the Universe is applied.  There is general scientific concurrence regarding the estimates of the age of the universe. That figure provides a better framework for the doublings of Planck Time,  from the beginning of time to this moment, right now, our current time, which always defines the endpoint.  Planck Time and Planck Length track together in informative ways. For example, the notation that defines one second is between 142nd notation (.6011 seconds) and the 143rd (1.2023 seconds).  The doublings of the Planck Length are 180,212.316 kilometers at Notation 142 and 360,424.632 kilometers at Notation 143. As one might have expected, the speed of light is confirmed in between the two at 299,792,458 meters for one second.  At this point in time the other three Planck base units have become quite large, larger than any common number within human experience.

This Quiet Expansion begins at the first doubling. Quite literally, there is no room for sound until out to the 108th doubling (the beginning of sound waves) and on out to the 119th (the full spectrum of sound ranges from Notation 108 to Notation 119).  There is something quite helpful within a visceral sense of the number and parameter.  Examining groups of numbers associated with a common human experience is more than helpful; it provides the infrastructure of logic.  Yet, there is no point where simple logic flows across all five Planck units. Yet, as demonstrated, it is quite informative when even two such numbers correspond.

For example, one of the very smallest notations with an experiential human equation is Notation 93 where observable light begins to manifest. Notation 101 is within the range of the thickness of human hair. This, of course, is where a large group within Planck Length and Planck Time correspond. This is the human scale universe. And, within that group there is one place where length and temperature correspond.

Planck Length and Planck Temperature. First, it was a leap of faith to hold to our working premise, “Everything starts simply” and to place the extremely hot Planck Temperature at the top of the chart.  That put a very common number between Notation 103 and 104 where the temperature has cooled to 98.6 degrees Fahrenheit.  Here we find among many other common things, the human egg cell. At Notation 105 the temperature has risen to 894 Kelvin or a very hot 1149.53° Fahrenheit and at Notation 102 it has dropped to a very cool –58° Fahrenehit.

Planck Mass. The very smallest notation with a common figure is the 31st doubling (Notation 31) where we find 103 pounds (46.74 kilograms). For many people, it is a key weight threshold signifying our coming of age, quickly approaching being  an adult. Within this doubling the other four figures are so small, it causes one to ponder. So much seems to be happening with each of these doubling, that 103 pounds encourages some speculation. How about this? Perhaps the 103 pounds is the sum total weight of this notation! At the top end of this column are the outrageously large numbers that come very close to estimates by some of the more speculative within the scientific community, especially if each number in this column is the sum total weight of that notation.  In some peculiar ways, this just may be a measurable concept.

The Human Scale Universe. Within the human and large scale universe, there are many familiar things within the Planck Length notations, yet the other Planck figures remain largely remote.

Planck Time. Although we cannot meaningfully perceive much smaller than a tenth of a second (Notation 140), in 2010 machines at the Max Born Institute in Berlin measured down to 100 attoseconds (Notation 87).  Perhaps each notation with the Planck Time column describes a range in which relations are defined. Some elements of that statement may be measurable.

What Is Is? If looked to discern any special logic, one’s conclusion might be that each notation, with its vast array of vertices and multiples of the Planck base units, define the terms and conditions by which that notation-qua-notation is.  That is, these numbers define the “isness” of the notation.

So, let us look in depth at one second between Notation 143 and 144. The total mass ranges from 2.4268×1034 kilograms to 4.8537×1034 kg. It defines a range, “no greater than twice that amount, and not less than half that amount.” In a similar manner, the total energy has a range, 2.0913×1025 coulombs but not greater than twice this amount and no less than half that amount. The total of heat within the notation, a huge stretch of the imagination, is 2.4578×1014 K to 4.9156×1014 K. Though an unimaginable amount of heat to be spread out throughout this single Notation 142, it just may be a measurable concept.

Planck Charge.  Let’s look at which notations Planck Charge becomes a common number. For example, a lightning bolt is typically around 15 C, large bolts up to 350 C.  That is quite visceral, yet on the chart it is in the range of Notations 63 to 67, the run up to the transfer from the small-scale to the human scale universe.  If it represents the sum total charges within each notation, it certainly provides us with something to ponder.

These five Planck base units create very large continuity equations. Though imputed, remember that this schema is also based on the simplest geometries. Taking the entire chart and the weight of its simple logic, it suggests that the symmetries of these imputed geometries and these continuity functions are infinite, and that length (space), time, mass, charge and temperature are finite. These 201+ notations seem to define a finite universe and each notation defines a range in which particular subjects and objects are bounded by their Planck base units doubling, thereby each notation has a certain functional uniformity which provides a range within which particular groups or sets of things work.

Questions are asked, “Is this model the abiding, on-going, current structure of things as they are?  How?

201+ notations, divided by three, renders a small-scale, human scale, and large scale universe. The application of scaling laws and dimensional analysis to the first 60 notations resulted in learning about the power of base-8 expansion. By the 20th notation there are plenty of vertices with which to build structures; that is 1,152,921,504,606,846,976 or 1.152 quintillion vertices. By the 60th notation, add 36 more places (zeros). That is a robust infrastructure with 1152921504606846976000000000000000000000000000000000000 vertices (perhaps point-free vertices).

There is what would appear to be an infinite number of possible constructions. Add in the 131 better-known dimensionless constants and the fundamental physical constants, there should be enough variables to accommodate the Standard Model in physics as well as the science that has resulted from the standard model in cosmology. Please note that at the 60th notation, the size of the Planck Length doubling is not yet large enough to accommodate a fermion.  From the 1st doubling to at least the 60th doubling, all the “structure” may best be described as hypostatic, which means in this instance, the essence or underlying reality.

Humanity doesn’t physically appear within the Planck Time column until well into the 201st notation. There has been a dispersion of length (space) mass, charge and temperature throughout an ever-expanding universe.  Obviously there is a lot of science to learn between Notation 101 to Notation 202, and it will all be in relation to the deeper dynamics between Notation 1 and 101.

Reflections and Projections.  Our base-2 chart of the Planck Base Units was first published in February 2015. This is its first review. It is an introduction that requires many more years of work and analysis.  It frames a detective story whose final chapter could be written in many different ways.  To expand the grounds of the analysis will require going deeply inside the simple geometries within the first 60 notations to discern how these geometries extend undetected, but measurably present throughout the entire universe. The assumed universals — order and continuity,  multiple grids of relations with symmetries as well as asymmetries, and dynamics that seem to conjure up transformative instants of harmony, degrees of perfection and  the darkest forms of chaos within degrees of imperfection  —  will be studied in light of duality, finite and infinite sets, group theory,  and set theory.  That study will focus on the correlations with advanced combinatorics, matroids, amplituhedrons, and the Buckingham pi theorem.

All the questions raised within A Simple View of The Universe will now begin to be addressed.


Much more editing and perhaps a little more writing to come.


Working notes:  When this page is ready to be declared “a working first-draft,” I will post an index of related articles; and as a working first draft, this post will be the first in that list. -BEC


Editorial note:  Our world seems increasingly crazy. This model just might help to open new insights that might mitigate some forms of that craziness. So though still quite rough, it’s being brought into the light of the public rather early. Also, by working on it in public, perhaps others will have comments and suggestions to shape its potential.

This post is a continuation of a prior work, A Simple View of the Universe. There are more observations to make about the Planck Time progression and many more to make about the progressions of the other Planck base units.  So, to say the least, this document is very much in process and will be updated frequently throughout the day and throughout the month of September.

This Shifting Paradigm Changes Our Perception Of Everything

Editor’s note:  This page was first posted within Small Business School, a television series that aired for over 50 seasons on PBS-TV stations (1994-2012).  It is the author’s business website, so many of the links go to that Small Business School website.    Eventually all links will be redirected to pages within The Big Board – little universe Project.

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Background: Our study of the Planck Length to the Observable Universe began formally on December 19, 2011. Though we thought about the matrix from the Planck Time to the Age of the Universe, it took until December 8, 2014 to add it the Planck Length chart. Logically, but non-intuitively, the two tracked well together. Based on that work, we started looking at our own foundations for understanding first principles, universals and constants.

First, our television series began in 1994 based on first principles (linked from here). These were a direct reflection of our faith and our belief that faith and science must cohere or one of them is wrong.

Second, we used those first principles in all that we have done. That’s how one knows the first principles work. Yet, eventually, those first principles inform in new ways. It is not automatic. It takes time. But, there is always a next step. We can always improve on the initial conditions.

Third, we all need to extend our principles globally, then extend them throughout the universe. That drove our work on the Big Board-little universe back which started in December 2011.And oddly enough, we can now see how such principles just might become the core of a new small business revolution.

Here is a paradigm shift that just might change our perceptions of everything.

1. The Universe appears to be finite. That’s huge. It has measurable smallest units for space and time. It has measurable units for the largest dimensions of space and time, the Observable Universe and the Age of the Universe, respectively.More

2. The Universe has an ethical bias. Yes, hard to believe, but it seems to be true. If so, the theological among us have some very real work to do because theology will be informed by science and science will actually be informed by theology. And, those within radical Islam will learn that they still have much to learn from their Allah and our science!

3. The Universe is smaller and more ordered than we think.In 202+ steps, you go from the smallest measurement to the very largest.Initially it sounded ridiculous and it seemed inconceivable, yet over time, it sinks in.

4. The Universe is more connected than we think. In fact, everything is related to everything, all within 202+ steps! Seems impossible; it’s not.

5. The Universe gets structure from space-and-time, but not its essence. The structures go back to basic geometries that have become exquisitely complex (Also, see reference #4). One might conclude that the essence of that structure comes from the Infinite through our constants and universals which appear to be best engaged through the Planck Units.

Now, with all these references, we now say, “Let’s get focused; there are great things to do to get us all on track for a brilliant future.”

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