Start with an infinitesimal sphere…

Sphere to tetrahedron-octahedron couplet




External dynamics


Internal dynamics



At the first instant of our universe

by Bruce Camber, 2019    Related homepages


If the universe is constantly being filled with infinitesimally small spheres (planckspheres) at the rate defined by the Planck base numbers, the stacking becomes a doubling, and to keep track of the numbers we can use base-2 notation with its timestamp (Planck Time) to keep track of everything, everywhere for all time. Most every page of this website is focused on some aspect of the 202 notations starting with the Planck base units and going out to the approximate age and size of the universe today. Most every page builds upon prior pages, i.e. this homepage builds on another, Our Universe, An On-going Construction ProjectRecognizing Her Simplest Building Blocks

It is also further developed here: The Sphere: Our Most-Basic Building Block of the Universe.

An Ontological-and-Cosmological Model

Our 202 column grid or matrix of the universe has a simple logic and it is 100% mathematical or predictive. The current chart has twelve rows, four of which follow the expansion of the Planck base units. This construct which necessarily includes everything, everywhere throughout all time leads to the following rather novel conclusions about the nature of reality. There are two primary conclusions and many observations.

  1. Space-Time, Mass-Charge and Light, the basics of the finite, begin as spheres.
  2. Every doubling (notation) is always emergent, never-ending, never-the-same.
    • Everything is connected and related to everything in the universe.
    • All time is experienced as the Now; past, present and future become a sense.
    • A mathematical and logical redefinition of infinity is now needed.
    • Everything you think-say-or-do immediately changes the fabric of the universe.

Within those two primary assumptions, the others just seem to follow. Let’s go deeper.


1. Start With Planck Length-Time, Planck Mass-Charge and Light

Are space-time and matter-energy simply the faces of light?  Today, most of us experience these qualities of reality as separate entities. Although we effectively measure those qualities in quantitative ways, that says more about the ingenuity of the human mind to discern basic measuring devices and that such devices, over the years, condition our mind to see things in particular ways. Today, we could apply any number of new devices as we now learn many more characteristics of each of the five facets of light.

Just what are we measuring? Does measurement grasp the essence of a facet? Could light have many more faces of which we see and measure? Today there are five basic qualities: length, time, mass, charge, and speed. If all five are taken to be first facets of light, might we be able to  measure even more facets of light right now? For example, could space-time be the essence of gravity and another facet of light?  And, could mass-charge be the essence of electromagnetism and yet another facet of light?  If all these are expressions of light (and as a result, are expressions of each other and the dimensionless constants that define them, especially pi), what are we learning?

We know that the first 64 notations of 202 are too small to measure. For centuries, yes, even millennium, we have been observing facets that emerged from other notations (or doublings) that define our experience. By inference (deduction and induction), can we begin to guess what is going on within those first 64 notations? There are four basic continuum — time, length, mass and charge —  that extend from the Planck scale to current expansion of the universe within notation 202.  Our primary concern for this article is the range from the Planck scale to the current limits of measurement of a length which we call the CERN scale.

What manifests first? We have concluded the five faces of light manifest as a sphere within Notation 1 and it continues to manifest throughout all 202 notations. It is the front edge of the expansion of the universe. At this definition, it pushes the very first spheres even further out as the current expansion of the universe.

Here is the fabric of our universe.

2. Every notation is always emergent, never-ending, never-the-same.

Notation 1: The Sphere, Sphere-stacking, Tetrahedrons and Octahedrons. From points, lines, figures, and objects, the most simple figure is the circle, just two points, yet it has an inherent dynamic, the ratios that are constantly defining it. Then, the triangle with its three points becomes a tetrahedron with four points. The square with four points becomes a pyramid with five and an octahedron with six.


With eight points the world as we know it begins to emerge. Pictured here is a five-tetrahedral unit; we have called it a pentastar. It has eight vertices and a gap (0.12838822… radians or 7.356103172… degrees). This figure also manifests as the twenty-face icosahedron and the sixty-face pentakis dodecahedron. Each gap is an imperfection that readily manifests as quantum indeterminacy (fluctuations at another level and free will at yet another). By the 67th notation those quantum fluctuations would have begun to be measurable.

Although that is enough complexity for a lifetime of study,  we all need to get beyond these more simple complexities (as primarily represented by those dynamic images in the header).

The Sphere: So, we take as a given the first object to manifest at the first notation is a circle that quickly becomes a sphere, then a never-ending stream of spheres.

Sphere stacking quickly becomes the next dynamic pushing beyond this first notation to the second, third, four, fifth and beyond. That sphere stacking gives us form and structure that quickly evolves into tetrahedrons and octahedrons (See Figure I).

Notation 2 may include just the second row of spheres within this illustration, yet the third notation may well include the third to the sixth row of spheres (as indicated by the ellipsis within Figure 1).

Sphere dynamics. This is a very new construction so everything that follows is a guess, or a hypothesis, perhaps even an instantiation. If these spheres define the four Planck base units and the speed of light, the first notation is being created as space, time, mass and energy, at the speed of light, from an initial duration of 5.391×10-44 seconds (Planck Time), within a space of 1.616×10-35 meters (Planck Length),  with a very small mass of 2.176×10-8 kilograms (Planck Mass) and a rather small charge of 1.875×10-18 coulombs (Planck Charge). As a result, we speculatively conclude:

  • This expansion is also the current expansion of the universe.
  • This notation of spheres is also the heart of our isotropic and homogeneous universe.
  • This notation of spheres is also the first layer of a matrix that bonds everything, everywhere, throughout all of time.
  • The doubling process is the second row of spheres in Figure I.
  • These spheres fill all space and time and have been measured indirectly as dark matter and dark energy. And, yes, it is true that there is no empty space.

Review. The first second of this process brings us up into notation 143.  At this moment, we are only concerned with what is happening between notation 1 and notation 64. These notations have never been studied per se.  They give rise to particle physics which only begins above the 64th notation. Each of the 64 notations opens en entirely new domain of study. We’ve called it a hypostatic science simply because it is the foundations of the foundations.  Each notation, 1 through 202, is necessarily actively participating in creating and sustaining  our universe and all define the present moment which at this time we are following the lead of others and simply calling it the Now.

  • All time is the Now.
  • Infinity is required.
  • Everything you think, say or do immediately effects the fabric of the universe.

This domain for research and study could be called hypostatic and the results  could be called a hypostatic science.

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

Which concept is strongest? Which is weakest?