Category: Base-2 Exponential Notation

Can you discern at least one unique formula within the 201+ notations? There are many to develop.

Bruce CamberLeave a comment

The challenge:  Come up with a formula based on the array of numbers within  the Big Board – little universe Project.  But, please be aware that all of the charts are now being fine tuned based on our recent work to develop a very large horizontal board with all five Planck base units in the progression from Planck Time to the Age of the Universe in just over 200 notations.

The horizontal board was initiated on April 10 and posted for insiders on April 25th. Those of you among my LinkedIn family are considered “insiders” (and you are most welcomed to join us).

We have been developing what we are increasingly thinking could become an alternative to the Big Bang theory. That’s a ridiculous statement to make, but now with well-over four years of looking at these numbers, it seems that our little model could have a place in the universe of academia. It may go through several versions, even transformations, but that struggle will be well worth the time and effort. There is real information within this “little” nascent model.

My special challenge to graduate students and post-docs. Take the five basic Planck units at one of the notations between 1 and 201 — and work out new formulas integrating any and all formulas used within the big bang theory. There is a place for every formula within at least one notation along this scale of the universe.

If nothing else, this project should get us thinking about number theory, the finite-infinite relation, the discrete-and-finite nature of space and time,  and the correspondence between the five Planck base units, space-time-mass-energy-temperature.

The very first  formula that I developed on May 1.  It is simple and it will be further developed. The next formula that we receive that is mathematically coherent will be given the designation: Formula #2.  Each subsequent formula will be numbered accordingly.  Each will become that student-or-professor’s formula and we will track the continued development and implications of each formula well-beyond this early-stage development and hopefully well-into an academic-development phase of The Big Board-little universe Project.

Thank you.   – Bruce 

PS.  Send your formula to me at camber (at) bblu.org

Related articles:

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Top Ten Reasons

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.

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.” 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.

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 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.

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...

You are invited to be involved.

Introduction

Bruce CamberLeave a comment

BruceCamber130Hi, my name is Bruce Camber and I would like to take you on a quick tour of our entire universe.

You will see everything, everywhere, throughout all time, in just 202 steps, notations, layers or domains. It is all so very simple, we’ve asked, “How could something this simple be ignored for so long?”

We thought there must be something wrong with our simple logic. Just by dividing an object in half, over and over and over again, we found the smallest possible unit of measurement of a length (the Planck Length) in just over 112 steps.

We multiplied this object by 2. Just 90 times and we were out to the largest measurement of a length (the Observable Universe). That’s a total of just over 202 steps from the smallest to the largest possible measurements in the universe.

We started this exploration back in December 2011.  When we couldn’t find it on the web, I began sending out emails to my smartest friends, “What’s wrong with this picture?”

We quickly learned of Kees Boeke’s 1957 work in a Dutch high school where they toured the Universe in just 40 quick jumps.  They had no geometry. They didn’t use those smallest and largest measurements as their container and they were multiplying by 10, just adding  zeroes.

We started with a geometry. We were multiplying and dividing by 2. Now that’s how cells divide. Our process is more natural, more lifelike, and most importantly, we get to see a much more granular universe.

Plus, those largest and smallest measurements are some of the most important numbers in science today.  They are called the Planck Base Units; they were formulated between  1899 and 1905 by Max Planck, a Nobel laureate in 1918, one of Einstein’s mentors, and the father of quantum theory.

Today, we have two primary charts.  This original from 2011 is based on the Planck Length.  It has been updated many times. And, now there is a comparative chart using all five  Planck Base Units.

Our project is to collect all our thoughts and writings from the past four years, consolidate and refine them for prime time for all the university scholars to come in to either take it apart or to attempt to incorporate it into the fabric of academic research today.

At the very least, the great physicist, Freeman Dyson, agreed with me that it would make an excellent STEM tool for our high school students to learn Science- Technology-Engineering-Mathematics.

If it challenges the Big Bang theory, so be it.  Let’s be intellectually honest and explore the most simple logic and most simple model of our universe. Called, The Big Board-little universe Project, we welcome you to join us.

Tetrahedral-Octahedral chains

Bruce CamberLeave a comment

https://bblu.org/2015/12/11/tot/  https://bblu.org/2012/12/11/tot/

What Did We Ever Do Without Our Universe View?

EditorLeave a comment

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?”