My Library and Courses
Last Update: Monday July 26, 2021

Can We Understand This Universe And Our Role Within It?

Working First Draft (not generally released): April 2015 Written by: Bruce Camber

Religion, philosophy, mathematics, and science are systems of belief and thinking.

There is an abundance of words and concepts throughout our diverse cultures to describe most aspects of life. Yet, we all know something is missing. The more formularized language of mathematics and the sciences also describes aspects of life. All encapsulate an element of truth within a particular frame of reference and often within a particular frame of time. Yet still, something is missing.

How do we make sense of it all? Which words and concepts should we believe and use to guide our thinking? The challenge throughout history has been to find the most powerful access points that appear to encapsulate a truth that can be extended to all places and for all times. As a result, we all struggle in our own ways to make some sense of life.

In December 2011 a high school geometry class stumbled upon what might be a rather new and different access point. (Please Note: All links open a new window or tab.)

We spent over a year trying to understand why something so simple had been overlooked throughout the history of scholarship. We wondered, "Is it okay to put space and time in a simple container? Is it okay to push the infinite and the infinitesimals out of the container? It looked like we had a rather comprehensive continuity schema with a diversity of real relations with deep symmetries. It seemed like in this model, Kepler's harmonies of the universe came alive. So, we continued asking the question, "What's wrong with this picture?"

It is based on (1) assumptions about continuity-and-order, relations-and-symmetries, and dynamics-and-harmony (the first chart), (2) base-2 exponential notation (multiplying by 2), the Planck base units, the platonic geometries, simple logic, and 201+ notations (the second and third charts).

For this writer, the words and concepts within the first chart go back to old foundations in 1969 within study of perfection and imperfection and have become first principles now for many years.

Those images in the right column give us different perspectives of the same concepts. Taken as a total picture, they seem to suggest the conclusions summarized within the first chart:

1. The universe is finite. It has a beginning (the Planck Units at the centerpoint) and an end (represented by that outer edge of the circle or its current point in its expansion). It is today, the Now. From our simple mathematics, we have found only 201+ base-2 exponential notations (also known as clusters, doublings, groups, layers, sets, and steps) from the centerpoint to that outer edge. These notations necessarily encapsulate everything, everywhere for all time.

2. This Universe is highly-ordered. Imputed by our simple logic, simple math (geometry and multiplication-division by 2) and the Planck Units, we can see how everything is intimately related to everything. Yet, this model has two built-in, fundamental degrees of freedom, Pi and the Pentastar. We have come to think of Pi as the creative tension within every circle that defines every vertex from the first doubling. If this is true, then Pi is fundamentally within everything everywhere.

Physicality (space-and-time) begins within the ever-open dimension of Pi.

The Pentastar is a name for five tetrahedrons (looking like the Chrysler logo). It is an imperfect construct; it has a gap. Yet, because it is so simple, just seven vertices, it could readily be part of the first forms within the first twenty notations and thus be part of most everything everywhere for all time.

3. Only the Infinite is infinite. Here religions get their foundation. This article is not here to judge religions per se, but it is highly critical of any elitism of any kind within any belief system. Constants, universals and mathematics connect the finite and the infinite.

4. The infinite can be known. The infinite is known through continuities that necessarily create order, then relations that necessarily create symmetries, and then a very special dynamics whereby moments of harmony are created. All of space and time are thereby dynamically created and sustained.

5. A system of value is created. All things and moments with order, symmetries and harmony have value. All things and moments with less order, symmetry or harmony have less value.

From this chair the universe appears to be that simple.

The outcome: Big Board-little universe

Big Board - little universe (BiBo-lu) is our first UniverseView. There are many stories and overviews about how this chart was developed and where we are since its introduction in December 2011 in New Orleans.

An evolving historic perspective: (all open in new tabs)

Summary pages & key points:

Early foundations and first principles:

An Emerging List Of Key Perspectives:

Charts of the Numbers


201+ notations or doublings, clusters, groups, layers, sets, and steps. Every aspect of a notation is important. Each is perspectival. Each is a view with an element of truth.

For the first time we see the entire known universe and part of the the unknown universe (the small scale) in an ordered relation using (1) the simplest logic, (2) the simplest geometries, (3) the simplest mathematics (multiplication by 2) for vertices, notations, clusters, groups, and sets and (4) the base Planck Units and the constants that define them.

We find this mix is magical. You can take a tour of the BigBoard-little universe and see the results. Then, to probe the chart in an orderly fashion, we attempted to divide it in sections. Of course, the simplest is to divide it by 2.

1:2 In the middle of this model of the universe is life, especially human life. You can find within notation 100 is sperm, 101 is human hair, 102 is the thickness of paper upon which we record our history, and 104 is the human egg.

We have used the small-human-large scale in the 1979 analysis so dividing the 201+ notations by 3 was natural.

1:3 The Universe in Thirds. Applied to the 201+ notations, the first third, or 67+ notations, certainly defines a largely unknown small-scale universe. The second third, from the 67th to the 134th, defines a somewhat limited human-scale universe. The last third, notations 134 to 201, certainly defines a large-scale universe.

Where do we go from here? We have concluded that we should be looking at the sinusoidal and periodicity within this discrete continuum of 201+ notations with all its inherent geometries. We will be looking within each notation along the scale to see if we know something about the dynamics within that notation and be asking how those dynamics extend smaller and larger and what might be the analogous structures.

  • 1:4 Approximately 50.45, 100.9, and 151.35 and 201.8
  • 1:5 Approximately 40.28, 80.56, 120.84, 161.12, 201.6
  • 1:6 Approximately 33.6, 67.2, 100.8, 134.4, 168.0, 201.6
  • 1:7 Approximately 28.8, 57.6, 86.4, 115.2, 144, 172.8, 201.6
  • 1:8 Approximately 25.2, 50.4, 75.6, 100.8, 126, 151.2, 176.4, 201.6
  • 1:9 Approximately 22.4, 44.8, 67.2, 89.6, 112, 134.4, 156.8, 179.2, 201.6
  • 1:10 Approximately 20.16, 40.32, 60.48, 80.64, 100.8, 120.96, 141.12, 161.28, 181.44, 201.6

More short-term goals: First we will continue to link every notation within the Big Board-little universe and within each of the three Universe Tables to the best academic research of things and activities defined by the ranges within each notation. We will be looking at each multiple of each of the Planck Units.

The Universe Table for the Small-Scale and the Large-Scale still need to be roughed out enough to go live on the web. Then, we will begin working on special charts as we continue our investigation and refine these initial simple calculations.

Is the small-scale universe the basis or foundation for isotropy and homogeneity?

Here is the first time a Small-Scale Universe has been defined by 67 notations from the Planck base units to the size of the fermion and proton. Each notation (cluster, group or set) will now be defined using simple logic to construct a systems platform that easily extends throughout the entire known universe with parameters and boundary conditions that have a consistent logic from the first notation to the 201st and 202nd notation.

The universe is still expanding. The maximum number of vertices is always the Now. As one goes down from 201st notation, the number the vertices logically decrease. In and around the 67th notation, it appears that the universe begins changing from space and time defined things to pure geometric structures, numbers, and vertices. At some point in this progression (to the very first notation), vertices begin being shared; and at the smallest notations, these vertices are shared by everything.

Isotropy and homogeneity are the centerposts of the Cosmological Principle (and the scientific method) and it seems as if the inherent structure of the small-scale universe gives rise to both.

Although we will try to be prudent as we will follow each step within, approaching that first notation (the singularity of the Planck Units), we will still undoubtedly make mistakes and less--than-wise conclusions. But, somebody has to open this discussion. If we grasp the basis for isotropy and homogeneity in the universe, just maybe we will begin to grasp how it is that space and time are derivative.


Editor's notes: This is a working document. This is a first draft. There is much more to come.

This is the first document of the site, It's primary focus will be research and development. It'll be the most speculative work.

A sister site will be for educational curriculum development, first for high schools, then K-9, and then for college, graduate schools and post docs. STEM work will be included here. Television and theatrical productions will be included as well as developments for theme parks.

An affiliated site will be: It will provide the access to the collaborative areas of the .com and .org sites.



This table is the Human-Scale Universe.

There are also very rough tables that have been
started for the Small-Scale and Large-Scale Universe.