An introduction to this website


Unfolding our Chart of the Universe

by Bruce Camber Initiated: October 24, 2018 Updated: May 2021
Mapping our entire physical universe with just 202 base-2 notations from the Planck base units — Planck Length, Planck Time, Planck Mass and Planck Charge — to the age and size of our universe, has opened twelve pithy-but-challenging concepts about the nature of our universe. Since December 2011, we have been asking scholars around the world, “What’s wrong with this construct? We do not want to lead anybody astray, especially our high school students.” The mathematical logic seems to be OK.  And, the logic of the Planck units seems reasonable. You can be sure that you are most welcomed to discern what’s right or wrong with our very simple, emerging model of the universe! You can tell us just below!
Twelve working concepts (all insights with the most potential for being wrong):
  1. The universe is encapsulated by 202 base-2 notations from the Planck units and by definition that includes everything, everywhere, for all time.
  2. A natural inflation is defined within the unfolding numbers of each doubling.
  3. Max Planck teaches us that light is equal to Planck Length divided by Planck Time.
  4. The universe appears to be exponential; Leonhard Euler’s base-2 mathematics apply.
  5. All notations are always active and deeply-and-profoundly interrelated. The first 64-notations are below the thresholds of measurement.
  6. The geometries for imperfection might just beget quantum physics-and- fluctuations.
  7. The four Planck base units manifest first within space-time as spheres.
  8. Emergence might begin with sphere stacking and the thrust within those base units.
  9. The never-ending, never-repeating generation of spheres could be a finite-infinite bridge. All the dimensionless constants that define the base units could be as well.
  10. Continuity/order, symmetry/relations, and harmony/dynamics might define infinity.
  11. These qualities of infinity seem to impart “an ethical bias” within the structure of universe.
  12. Basic concepts like dark energy and dark matter could possibly be addressed. Even old concepts like a point, or its new iteration, a singularity, can be revisited.

Key Insight #1: The universe is encapsulated by 202 base-2 notations from the Planck units and it includes, necessarily, everything, everywhere, for all time.

History. Our simple math tells us,  “This is a simple fact.” This work (and our webpages) began in December 2011 within five high school geometry classes. Working with just tetrahedrons and octahedrons, we tiled and tessellated the universe. We also perfectly filled each object. From the Planck Length to the size of the universe, we encapsulated everything, everywhere, for all time. Our chart became our very first mathematical, highly-structured view of the universe. For us, it was an unmitigated  “Wow” but was it right?  More

Key Insight #2: A natural inflation is defined by the unfolding numbers of the base-2 notation.

Just follow the numbers. We discovered that this natural inflation of numbers (multiplication by 2) approximates the epochs of cosmological Lambda Cold Dark Matter (ΛCDM). Obviously, these numbers need to be more closely examined. It took us awhile to start following the numbers. Our horizontally-scrolled chart (April 2016) made it easier. We could see how the first 60 to 65 notations were below the capabilities of all our measuring devices. The first second of the ΛCDM model brought us up to the 144th notation. Ours was a slow and even inflation. We also discovered that there were many alternatives to big bang cosmology, but thought, “We’re just starting this exploration. We better be a bit conservative and try to learn the basics.” Well, we weren’t conservative and we’re still learning the basics!  More

Key Insight #3: Max Planck teaches us that light is equal to Planck Length divided by Planck Time

Follow the light. We were looking at the simple part of Planck’s formula’s for time. Of course, we all know Einstein’s  e=mc2 so light and mass-and-energy are inextricably woven. We may not understand it; but we at least know that little formula. Now, we learn that Planck Length divided by Planck Time is equal to c. What does that mean? How is it that the speed of light is woven to mass and energy and now time and space.  What’s that all about? The four Planck base units are each, in some manner of speaking, the Janus faces of each other and of light. Aren’t you puzzled? We are.   More

Key Insight #4:  The universe appears to be  exponential. Leonhard Euler’s mathematics may apply.

Although we make the statement rather boldly, this is an area within which we are just venturing forth. Of course, we realize that we applied Euler exponentiation to the universe in the first place. If the numbers check out, doesn’t it follow?  More

Key Insight #5: All the notations are always active and intimately connected and there is only Right Now and the first 64-notations are below the thresholds of measurement.

Expanding Goals. We began to realize that any and all versions of Lambda Cold Dark Matter (ΛCDM) is based on big bang cosmology. We discover that  ΛCDM cosmology does not work as well as the emerging natural-inflation, quiet-expansion model. Even within that the first nanosecond, the ΛCDM model (click on “Logic” in the right column) shares all the primary expansions (epochs). In our quiet expansion, all the epochs became processes, and each process builds upon the prior process. No process was an epoch that came-and-went. Each was dependent on the next and vice-versa. It took awhile but slowly it sinks in. Here time is derivative, always active, quantitative, finite and Right Now. Most peculiar. We don’t know how to define Times Arrow as a strictly notational phenomena, but someday we hope to be able to do that. More

Key Insight #6: The  geometries for imperfection might beget quantum physics and  her fluctuations.

Our geometries continued to challenge us. All the simplest geometries suggested that the universe was highly ordered and symmetric. Other geometries suggested it was chaotic and statistical. Even before we started this project, we were studying what we called quantum geometries. In our high school we also called it squishy geometry.  More

Key Insight #7: The four Planck base units first manifest within space-time as spheres.

Why not? Pi is an intimate part of so many fundamental equations that define out universe. It is as simple as it is mystifying. It’s everybody’s favorite. But perhaps most importantly, a sphere is enormously satisfying.  More

Key Insight #8: Emergence (doublings) may begin with sphere stacking and the thrust within those base units.

Sphere to tetrahedron-octahedron couplet
This image (right) is generally associated with close-packing of equal spheres or cubic-close packing. For this website it is used to focus on what happens as billions upon quintillions of spheres are generated as the Planck base units begin to double and become Notations #1 to 10. It may actually be the best way to visualize the first manifestation of the first four Planck base units within space-time. More

Key Insight #9: The never-ending, never-repeating generation of spheres is a finite-infinite bridge.

All the dimensionless constants that define the base units are finite-infinite bridges. We are not afraid of controversy. So many people follow David Hilbert when he concludes that the infinite can not be within the finite. On its face, it looks entirely logical. Yet, if the finite is always within the infinite, our problem only remains to answer, “How does that work?” This website is a start. We do not pretend to understand the deeper mathematical logic upon which Hilbert stands. We intend to define a new logic instead. Ours will attempt to be for the average person.  More

Key Insight #10: The infinite is defined by continuity/order, symmetry/relations, and harmony/dynamics.

This insight is the oldest of all the insights. It dates back to 1972. But it had no structure within which to play, so it was easily ignored. Taking insights from mathematics, logic, physics, and religion, this statement began as a study of the possibility of having a perfected state within space-time. Of course, quantum physics makes that difficult, yet scientific anomalies prodded these conclusions.  More

Key Insight #11: These qualities of infinity seem to impart “an ethical bias” within the structure of universe.

Continuity, symmetry and harmony may well define concepts that could be shared between the finite and the infinite; these concept do more. These concepts map to a values-based grid and as these values are more closely examined, each could readily be interpreted as an ethical statement. This grid stands in contrast to the nihilism, solipsism, narcissism, and dystopia encouraged by big bang cosmologies.  More...

Key Insight #12: Basic concepts like dark energy and dark matter may be addressed.

Even old concepts like a point can be revisited. One of the purposes of this website is to look at long-standing concepts and ask, “Is it the best possible understanding of that concept especially in light of an integrated view of the universe?” When looking at dark matter and dark energy, as well as isotropy and homogeneity, the quiet expansion seems to give roots to all four concepts. So, first there is this homepage about it:  Dark Matter & Dark Energy  Even the most basic concepts such as a point can be redressed:  Where’s the point? What’s the point? This rapprochement to old enigmatic concepts has just begun! So, I am sure you won’t be surprised, there is much more to come __________________________________________________

Related Webpages

December 2011:

Learning Geometry

Original chart

Going Beyond the Weltanschauung

January 2012:

Early Questions

First Overview

Early ideas

Wikipedia Rejection


Simple facts


Start Simply

Big Bang Questioned

Planck Time



Planck Mass & Planck Charge

Big Bang Bust

Chart of the Universe

Related Webpages


Horizontally-scrolled chart

Measuring the universe with the Planck base units

Planck’s Light

Top Ten Reasons

Quiet Expansion



Just a little logic



Top Ten


Exponential Universe

First principles

Related Webpages


Natural Inflation





Focus on a few

Then a few more



Pi Day

Favorite Pi

Question Pi


David Hilbert



Just Gravity

Related Webpages

Emerge A Little


Life Support





Value Values




String Theory

64 Notations

Fabric of the Universe

Horizontally-scrolled chart

Dark Matter – Dark Energy

The point of a point


Related Webpages


Infinitesimal Universe Comes Alive


Challenge us. Coach us. We need all the help we can get.

Which concept is strongest? Which is weakest?

Key documents that were recently homepages

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