###### Originally posted on the *Big Board-Little Universe* site, if a link takes you out of 81018.com, use your BACK button to return.

Science is filled with mysterious numbers that defy logic and explanation. Among them are extremely small numbers that were introduced in 1899. Largely ignored for over 100 years, today these Planck Units have opened a rather magical pathway that has a little potential to become a new study within the sciences. Some might think it is a science of the mind. Though possibly true, it could be much more. (new window).

Here the old-fashioned thought experiment could become a new art form. A little high school, not far from the levee along the Mississippi River, a little up river from the French Quarter but downriver from the New Orleans airport, has big dreams and plenty of brains-and-brawn. Yet, never did they expect to be the place where base-2 exponential notation from the Planck Length to the Observable Universe and from the Planck Time to the Age of the Universe would be birthed. The fateful day was December 19, 2011, the last day of classes before their Christmas holiday recess and it begged the question, “Could this possibly be the beginnings of a simple model for everything, everywhere, for all times?” More…

For five groups of students who were studying the basic tenets of geometry, a strange thing happened. They saw the entire universe and parts of the unknown universe all at one time, all interrelated on one board, and organized by (1) a simple logic, (2) the Planck Length, (3) simple geometries and (4) simple mathematics (multiplying and dividing by 2). And, it required just over 200 doublings to capture the universe. *More*…

**Just over 200 notations**. What does it mean? What difference does it make? The first insight was that there is a deep-seated order in the universe. The order is imputed. It comes from logic and mathematics not from experimentation and measurement. Although it creates a special continuity from the smallest to the largest measurements of space and time, they can only say for sure, “Here it is,” then ask questions such as “What is wrong with this picture?” Very quickly, fifteen more key questions were raised. Also imputed are structural relations that create a diversity of symmetries that literally bind everything in the known universe. That’s quite an achievement unto itself, but it must be defended with facts that have some basis in reality. More…

Hardly intimidated, this group believes that the facts are, by and large, self evident and that there is so much more to discover and learn. More…

Located in River Ridge (a hamlet just downriver from the airport), the Curtis School is well-known among the football quarters, not within the studies of cosmology and astrophysics. Though there are rumblings and a very small scientific group moving away from the big bang cosmology, this little group within the school could land a tackle that suddenly causes this leading intellectual theory to stop in its tracks. If their map of the universe is truly a new domain of science, the human mind may end up taking its rightful place of importance within their grid that begins to redefine who we are and why. More…

That is enough, but there is more.To date, science has had very little to say about values and ethics. You can hear the pragmatists say, “Those are not measurable qualities.” And they would be right, yet here, if the inherent structure of science is order-continuity and relations-symmetry, extended logically, it could become a structure for value and even for a moment of perfection within what appears to be a finite universe. Two symmetries interacting over time, give us the first dynamical moments that have a harmony which unto itself is a compelling infrastructure for valuation and ethics. More…

Also, deep in the heart of this discussion is the place of the finite-and-infinite, and geometry-and-calculus. The old world of geometry gave us a special grounding. Structure was everything. Then, the newer world of calculus came in and slowly began to give us a new sense of change, openness, and a very long vision. People thought they could see forever. Professor Max Planck was 41 years old when he did those special calculations back in 1899. He was 60 years old when in 1918 he received his Nobel Prize for his work to define a quanta of energy. By 1944, now 87 years old, he penned these few special words that could set the stage for a science of the Mind. More…

Throughout it all, his precious Planck Units had been virtually ignored. It wasn’t until 2001 before his earlier calculations, now over 100 years old, began to see the light of day. In a series of three articles in *Physics Today.* Prof. Dr. Frank Wilczek of MIT (Nobel laureate, 2004) acknowledged their presence and potential importance. Finally, the Planck numbers gained a little respect as the conceptual limits on the smallest side of every equation. It seemed to suggest a way to begin to see the universe as a finite place. Rather suddenly Planck’s work gained a solid foothold. Also, science had advanced far enough to begin to suggest that there are upper boundaries as well. For the first time in centuries, the finite was gaining ground; the infinite seemed more ephemeral. The kids had plenty of ideas and comments. “This is a great STEM tool. Science-Technology-Engineering-Mathematics all makes sense here.” Another said, “Let’s keep the small “I” of the infinite so all our atheist friends have something in which to believe so they don’t have to believe.” More…

Our “Planck students” soon discovered that they were not alone in their sense that the universe could be reduced to simple, logical working principles. In 1957 in Holland a little-known high school teacher, Kees Boeke, wrote a very short book, *Cosmic View, The Universe in 40 Jumps*. In 1962 a film was made about it and then in 1965 a coffee table book was published. By 2001, the scholarly community had become familiar with base-10 notation. The River Ridge group was just getting to know him. They quickly acknowledged that Boeke’s book was the very first universe view. But because he only found 40 of 62 base-10 notations, it was dubbed “*universe-view light*.” Yet, base-10 has an important place in this discovery process and work with it is still being done. In July 2014, Gerard ‘t Hooft and Stephan Vandoren published a book, Time in the Powers of Ten. Of course, base-2 is much more granular (3.3333 times) and mimics cellular reproduction on one hand and chemical bonding on the other. More importantly, this base-2 work is rooted within the Planck base units and basic geometries where space and time are seen working together throughout the 200+ notations that define our universe. *More*…

There are several next steps. A few students (and their teacher) speculate:

“Let’s make a movie about it that focuses on our most speculative guesses.”

“Let’s focus on that small-scale universe and try to figure it out.

There are doctoral dissertations in there.”

“Let’s get other schools involved and promote this simple model as a powerful ST^{e}EM (Science-Technology-[Education]-Engineering-Technology) tool. (A link will be forthcoming)*** **

**Endnote**: The following Max Planck quote is currently linked to the place where the source pages are housed in Berlin at a place called the Archiv zur Geschichte der Max-Planck-Gesellschaft: “All matter originates and exists only by virtue of a force which brings the particle of an atom to vibration and holds this most minute solar system of the atom together. We must assume behind this force the existence of a conscious and intelligent mind. This mind is the matrix of all matter.” (opens in a new window)

From “The Nature of Matter” within the Archiv zur Geschichte der Max-Planck-Gesellschaft, Abt. Va, Rep. 11 Planck, Nr. 1797, 1944

# Index

**Please note**. There are several related websites for this project. The primary sites are:

• **http://81018.com** This site is for on-going our on-going research and development.

• **http://bblu.org** is to relate this work to STEM programs in secondary schools.

• **http://quietexpansion.com **is for more personal reflections.

• http://exponentiation.org Just the basics, this is an introductory site.

• http://SmallBusinessSchool.org The original site where many of these pages were first posted.

• http://exponentiation.org

• http://SmallBusinessSchool.org

**There will be duplication of pages and overlapping links**. There are also numerous other web pages that have been developed over the years. Please bear with us as everything related to the simple base-2 model is consolidated within the first three primary sites listed above.

**Navigation**: The **boldface** entries will keep you within 81018.com. If you happen to find yourself on an unusual URL and want to return to the originating page, please use your “back arrow” button. Thank you.

**2011 (December) Big Board – little universe****2012 (January) Early Reflections****2012 (September) First-Draft Article**: Planck Length and Planck Time**2015 (August) Analysis**: A Simple View of the Universe**2015 (September) Analysis of the Chart of the Five Planck Base Units****2016 (December): Simple Math-And-Logic Render An Integrated Model of the Universe****67 Notations of the Small-Scale Universe**: Are these among the key missing links?**81018**: Horizontally scrolled chart from the Planck Scale to the Age of the Universe- Analysis (September 2012)
**Architecture for Integrative Systems**: 1979 Display Project at MIT**Architecture for Integrative Systems: The Scholars****Belief Systems**: Just what are we to believe about anything?**Big Bang Earliest Questions**: Did A Quiet Expansion Precede The Big Bang?**Big Bang or Quiet Expansion?****Big Bang Cosmology: Flooding it****Chart**: The most recently updated, a horizontally-scrolled chart- Chart (vertical) of the Five Planck Base Units: From the 202nd notation down to 1.
- Charts (four primary charts and lists)
**Chaos-and-order and Order-and-Chaos**: Non-repeating, never ending numbers**Dark Matter, Dark Energy**, Cosmology and the Large-scale universe (November 2015)**Entrepreneurs of Outer Space**: Allen, Bezos, Branson, Musk**Ethics**: Where is the Good in Science, Business, and Religion?**Fifteen Key Questions**: About the Universe and Us**Finite & Infinite (homepage)**.**The first look**.**A second look.****Formula**1: Light is equal to Planck Length divided by Planck Time**Foundations of foundations****Freeman Dyson**: Guiding Light- Help. Participate. Initiate.
**Historical Sketch**: A Secret Door To A New Universe Of Knowledge**History:**What Did We Ever Do Without Our Universe View?**NASA scientist’s report**(regarding his calculations for us on May 14, 2012)- Notations 80 down to 66
**Numbers**: On Constructing the Universe From Scratch**Order In The Universe**: Continuity and Symmetry**Paradigms, foundations, first principles, universals and constants**- Pi: 3.1415926535897932384626433832795028…
**Planck Length to the Observable Universe****Planck Time to the Age of the Universe****Quiet Expansion**: Do the dynamics deflate the big bang theory?**Quiet Expansion challenges the Big Bang (June 2016)**(September 2014)*Quiet Expansion Precede Big Bang?***Scholars, scientists, and other thought leaders****Simple View of the Universe****Simplicity**: Just how simple is it?**Small Scale Universe**: Notations 1-67- Space and Time: Derivative, Discrete, Finite, and Quantized
- Speed of Light NOT Yet Confirmed With Planck Units and Base-2 Notation
- Student’s Science Fair Project
- Summary (January 2012: The very first overview of this work
**Tetrahedrons & Octahedrons****Tiling and Tessellating the Universe**: A Great Chain of Being**Top Ten Reasons for The Big Board – little universe Project**- Two shoes: A review of where we were in July 2016
**Universe Table**: The Human Scale**Values**: Introductory Chart for Natural Values (June 2014)**Wikipedia Article**(2012): Accepted And Then Rejected- Working
- Wrong: There is a possibility