This project began on Monday, December 19, 2011.


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Arrow2Before this project ever began, there were longstanding beliefs, presuppositions and first principles that shaped and colored every insight, concept and idea:

•  First, there was continuity and it created order.

•  Then, there was symmetry and it created relations.

•  And, there are moments of harmony that create perfect dynamics.

Big Board – little universe, December 2011: Starting with the Planck Length, multiplying by 2 over and over and over again, 202 times, brings us out to the Observable Universe.Arrow2

.Not finding it anywhere on the web, we started developing our first chart.


This highly-integrated grid-matrix-system of the universe is on a 6×1 foot chart with 202 notations or doublings. Eventually a horizontally-scrolled chart from four Planck base units to the Age of the Universe emerged.

Quiet ExpansionApril 2014: After three years of reflections, it seemed that this grid should be looked at in light of the big bang theory. Hawking’s infinitely dense, infinitely hot start of the universe had always required extralogic and a meta-physics.


Easily contrasted is a Quiet Expansion, a natural inflation from the Planck units. It fills in the missing data for the first 300 million years;  100% predictive and prescriptive, this chart and model of the universe somewhat affirmed all the cosmological epochs as already defined.  Logic?

Question: Could the Universe Be Exponential? November 2017 Multiplying the Planck units by 2, and each result by 2, over and over again is like a base-2 exponential notation. Could this progression be seen in light of Euler’s equations?  Might this universe have a fundamental sense of order, not chaos. More than multiplying by 2 over and over and over again, more than a mathematical grid, we became painfully aware that we needed to define the place where the finite and infinite meet and greet. It seemed so clear, so self-evident, the question is now raised, “Why not?


We have entered a golden hour for reflections, actions, and developments. More…Arrow4

Harmony.  Yes, harmony. The study of Euler’s equations began slowly in November 2017… the simplicity of 0, 1, and pi, and the complexity of  i , an expression for all imaginary numbers, started to come together to teach us.  Inside the radius of every circle and every sphere, we began to see string theory as a dynamic weaving throughout 64± notations, the earliest fabric of the universe. Nothing was static. It is as if this fabric is in part textured by the thoughts-feelings-actions within each spacetime notation. Though we are all within the 202nd notation, it seems that all notations are always available to us and there is total fluidity between them.  More

Symmetry.  Indeed, symmetry. Planck Length divided by Planck Time is equal to Light ( ). As that simple equation for light comes alive in every notation, absolute space and time are no longer so sure of themselves.  Sir Isaac stutters as Max Planck smiles. Like no other, here is a real potential to shake up the sciences and our commonsense logic. More

Continuity. Now a continuity like no continuity ever experienced, we begin to see the entire universe as a whole extending with all its dimensionality right through a transformation nexus to an infinite of ever-so-many-more dimensions, colors, shapes, sounds and senses.  How could it be so easy when we have made it all so hard?


Notes:  Redefining the very nature of time:  Planck Time is so small that the first second of the universe doesn’t emerge until just after Notation 143. The first light year is within Notation 169. Our large-scale universe begins to emerge between notations 196 and 197. The current notation, 202, includes all of human history and most of the history of our little earth. The 202nd notation is 10.9816 billion years billion years (346,545,888,147,200,000 seconds) — of course, it is currently expanding, still very much “on the make.”

This article is a subset of a working index of key postings over the past six years; it marks the beginning of our official anniversary day celebration,  December 19.

The Current Horizontally-Scrolled Chart. In 2011, the project started with a very simple chart that followed the Planck Length. Today’s working chart came out in April 2016 and follows the Planck base units. Not being the brightest lightbulb in the family, it took me awhile to realize, “That’s Euler’s equation. Leonhard Euler was describing the universe! He didn’t know it, but he was.” [See Endnote 1]

We live in an Exponential Universe! That’s new information. Throughout all of our mathematics communities today, scholars have had a special affection for Euler’s equation. It is a pretty equation. It includes the most fundamental numbers of mathematics. But now, there is an even more compelling reason to love the equation. It describes the functional dynamics of our universe better than any other equation. [See Endnote 2]

Big Board-little universe · Exponential Universe · Quiet Expansion

This project now goes by all three titles. The European Space Agency’s Planck space mission and our NASA’s Hubble space mission have released the most accurate and detailed maps of the oldest light in the universe. They’ve opened up the universe and we have all been flummoxed with its depth and breadth. Yet, right in the face of all that new knowledge, this project comes along and calls it “a little universe” because it is encapsulated in just 202 notations. [See Endnote 3]

“Just 202 notations!” Yes, but even more importantly, space and time begin to look like they are necessarily derivate and finite. Both drop their absolute status given to them by Isaac Newton in 1868 (Principia Mathematica). In this emerging model, all the notations are still active and imprinting our expanding universe. Everything is related to everything and every notation impacts all other notations. [See all the other endnotes]

Dialogue with the universe. World-famous landscape architect, Charles Jenks says, “We’re in dialogue with the universe!” It’s a nice sentiment, but most of the world’s people are hung up within some little worldview. We believe it is time to explore an integrated view of the universe. This is just one simple offering.

A dialogue with the universe has yet to begin in earnest. Let us all say, before we get completely out of control, “Let the dialogue begin!”



[1] Today, you can now get your own copy of that chart! It measures 6 inches by 16 feet! It is a great conversation starter.

[2] Do we live in an exponential Universe? Is it time to change our orientation from worldviews to an integrated universe view. Worldviews are killing us. Yes, the purpose of this website and all these pages is to encourage your involvement with that idea.

[3] Seven reasons to go further. Concepts to grasp a simple model of the Universe

[4] The Thrust of the Universe: What is it? / Visualizing the Universe (working notes)

[5] Measuring an Expanding Universe Using Planck Units (first draft)

[6]  First Principles and Key Equations as we explore the possibilities that our universe is exponential.

[7] Langlands IIIIIIIV

[8] An Index of the 202