ASSUMPTIONS | EMERGENCE | INFINITY | Inflation | REVIEW | Transformation

What is a singularity? How singular is it?

by Bruce Camber, Started: November 2017, Revisions: November 2022

Because you are here, you probably know of our work to encapsulate the universe within 202 base-2 notations. We started with Planck’s base units. Some might call it the initial singularity.[1] All natural units, the numbers for length and time are exceedingly small, some say the smallest logical numbers, well below our thresholds of measurement. Assume these Planck base units define the first unit of time. That is a logical-but-still a huge assumption that must be re-examined often, “Let’s go over this one more time. What are we missing?”

Assume that there is one infinitesimal sphere per units of Planck Time and Planck Length. That, too, is another huge assumption that needs regular review. It computes as a very different cosmological constant and expansion of the universe.[2]

The density and mass at such lengths would be in the range of a neutron star and a blackhole.[3] As spheres stack and pack, there is a simple perfection of continuity, symmetry, and harmony. It’s a path of least resistance which has no gaps and no fluctuations.[4] All the geometries perfectly fit.

We doubled those numbers, particularly the values for time, length, charge and mass, over and over and over again, 202 times. By that 202nd notation, we had encapsulated the age of the universe and a shade from the approximate size of the universe.

Doubling or multiplying by two just 202 times creates a chart, an actual outline and a nascent model of the universe. Yet, it is a rather peculiar chart. All of human history is within Notation-202. According to big bang cosmology, the entire history of our solar system and the history of our Milky Way begins around Notation-197; that brings us back to within 343.15 million years of the start. The first year is within Notation-169. The first second is within Notation-143. Our measuring devices for time go no lower than Notation-72. For length, assuming CERN’s LHC attenuates smaller than all others, we are down within Notations 64-67. Everything below 64 looks like a quark, a point or a vertex.

There is a fair amount of guessing, so we must be careful not to jump to conclusions.

This model of the universe has everything to do with the earliest history of our universe where our studies within cosmology and astrophysics are weakest.  It should be a match made in heaven, but just that word, heaven, grates on so many people these days. It’s a shame. They all need to loosen up a little, especially Max Tegmark of MIT. He so appropriately goes by the moniker, Mad Max, the 1979 dystopian character of B-fiction, pulp-movie fame. Anything to do with infinity, our Mad Max professor of physics wants out. I say, “Cool those jets, Max!” Just on the other side of the first moment in time, I project that you will find the infinite. Instead of throwing it out, let us get into a dialogue.

Let us redefine it in a way the scholarly-and-scientific communities, even among the atheists, humanists and materialists, cannot object too loudly.

WITHIN THE INFINITE is the finite. We all believe in pi and Euler’s number. Incommensurables, transcendentals and imaginary numbers are delightful. Special numbers that seemingly go on forever with no repetitions describe something that is not finite. If it is not finite, perhaps the category, infinite, could be a useful tool to describe the nature of those numbers.

Key Questions: So, what can we reasonably say about the infinite? What does it have to do with the universe defined by the 202 notations? Is this chart of 202 notations a  comprehensive definition of everything finite? Is everything-everywhere-for-all-time derivative of the infinite?  If so, what can we say about the bridge between the finite and infinite? What do both share? Here is our best guess:

When we have a better definition of the infinite, the dialogue about the universe may earnestly begin. Without it, we do not know where we came from, where we are going, and the meaning and value of life. Our words are weak and ineffectual.

No Such Thing As a Singularity

“…just a buzzword.” There is nothing singular about technological singularity. And, the initial singularity defined for the natural sciences is more like a convention center. Although there are many other definitions of the word, our focus will be on these two because they impact all other possible definitions.

What is singular about technological singularity? The mathematics involved is substantial and complex and involves many time sequences. All the numbers, ratios, and equations that define what people call a technological singularity are constantly jostling for position. It seems each wants to stand out in that crowd, “Look what I can do. Don’t you know that it’s all about me.”

It is no wonder our world is such a mess. If our words have less and less meaning, it becomes increasingly difficult to understand anything. And then, who prioritizes the information that we do have? It seems like there is a natural accretion, a public consensus building within the most influential population groups and that this so-called “technological singularity” will not even be able to develop a consensus within its own population. Also, though many would not concur, this singularity is profoundly dependent on the initial singularity that gives rise to all the standard models.

This “Initial Singularity” Is a Meeting Place of Converging Formulae.

Keys to this Quiet Expansion: More than the big bang theory‘s four forces of nature — gravity, electromagnetism, the strong force, and the weak force — within this Planck scale we assume these four are encapsulated within all four Planck base units and the constants that define them, and some manifestation of this unification is carried throughout all 202 notations. And, as we have noted, the Planck base units are defined by length, time, mass,  and charge; and, these are further defined by the speed of light (or special relativity), the gravitational constant (or general relativity), the reduced Planck constant (or ħ or quantum mechanics), the Coulomb constant (or ε0 or electric charge or electromagnetism), and the Boltzmann constant (or kB or of temperature). As we attempt to go deeper into this analysis, we will be studying the mathematics of ratios and that virtually unexplored reality defined by the first 64 doublings. In light of these doublings, we will attempt to understand this domain more deeply by examining:

  1. The logic of exponential notation as given within the Chessboard and Wheat story.
  2. The statement, “If the chart is right, we live within an exponential universe.”
  3. The concepts of non-locality and entanglement.
  4. The progressive building of a mathematical logic that is incrementalism from Notation 2 to Notation 64.  See
  5. The foundations for homogeneity and isotropy are within this grid.
  6. And, then being wildly speculative, we’ll begin looking for consciousness and sleep, ethics and values, and qualities related to the perceptions through out senses. It may be true that all subjects that have never been on the grid may have a place somewhere along this part of the grid of our universe between Notation-1 and Notation-64.

Yet, let us all be thinking about this unexplored domain.


Endnotes & Footnotes
There may not be many because all these points already have pages within this website.

[1] Initial singularity. Some would say that it defines space-time and gravity. Wikipedia has a good article about it.

[2] To come, November 2022

[3] To come.

[4] To come.

[5] To come.


References & Resources
As these references are studied, key references and resources will be added.within this website.

Observation of Gravitational Waves from Two Neutron Star–Black Hole Coalescences, The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration (somewhere close to 1600 authors).  


There will be emails to many of our scholars.


There will also be many instant messages to thought leaders about these twelve points.



You are always invited.


Keys to this page, singularities

• This page may someday become a homepage. It is currently “being reconstructed”.
• The last update was 7 November 2022.
• This page was initiated on October 31, 2017.
• The URL for this file is
• The headline for this article: What is a singularity? How singular is it?
• First byline is: Singularities.