64 doublings (base-2 notations) from the Planck scale to the CERN scale

How much of our reality do we understand and engage? What do we miss because we truncate our thinking?

An Infinitesimal Universe – Open For Exploration



  1. This universe, from the first moment in time until this moment in time, is outlined within 202 base-2 notations (progressive doublings) of the Planck base units. The model begins at the Planck scale and goes to the Age of the Universe today.1
  2. This model, by definition, contains everything, everywhere, and for all time. This model is 100% predictive, mathematical, logical and rational.
  3. The first 64 notations, an infinitesimal universe below our thresholds for measurement, have never been studied by academics, scholars or scientists. Yet, these base-2 numbers of the Planck units tell many stories.
  4. This simple model appears to be able to absorb discoveries since 1927 when Georges Lemaître proposed his theory of a primeval atom.2 That work became big bang cosmology.
  5. This model opens time symmetry; Max Planck redefined the very nature of light-space-time but big bang cosmology blocked our view of it.

Our history is rather brief. These ideas and concepts are based on a natural progression of numbers from the Planck Length to the size of the universe. It requires doubling mechanisms and mathematics that goes from the most simple to the most complex.

Also, it seems that only by becoming more precise about our definition and understanding of infinity will we begin to understand the very nature of this universe.

To that end, some of the work done over the years is outlined and linked:

1. All the Numbers: A Highly-Integrated Mathematical Model. These 202 base-2 doublings outline the universe; and, by definition these notations include everything, everywhere, for all time. However, it is a base-2 exponential expansion from Planck Time. The first second doesn’t emerge until between notations 143 and 144 and the first light year between notations 168 and 169. The first million years is between 188 and 189 and the first billion years between 198 and 199. Notation 201 encapsulates 5.49 billion years; and given that the aggregation of all notations up to 201 is also 5.49 billion years, the 202nd notation encapsulates 10.9816 billion years. Given the universe is between 13.78 and 13.81 billion years old, it follows that we are in the earlier part of the 202nd notation (no more than 2.8284 billion years into it).

2. Doubling Mechanism: Doublings are a basic mechanism of the universe.

3. Unified Theory of MathematicsThe simplicity of this model encourages the development of an extensible platform starting with the most simple mathematics and geometry that build to include the two Standard Models, Langlands programsstring theory, dark matter/energy

  • Euler. The universe is fundamentally exponential. Euler’s identity is universal.
  • In process: Each notation will be analyzed, notation by notation. It will be within this format this unified theory could possibly unfold. Wouldn’t the role of prime numbers be to determine when new mathematical systems can be introduced?

4. Infinity. Given light’s pervasiveness, three aspects of light are taken as qualities that appear to be shared with the infinite. These are:

  • ContinuityOrder / numbers, first within the dimensionless constants, never-ending, never repeating, and then with the progression of spheres.
  • Symmetry. Relations / Geometries, first with the symmetry of the spheres, then the symmetry within the tetrahedrons and octahedrons that are generated.
  • Harmony. Dynamics / Space-time where two symmetries actively interact as a moment of space-time; it is a qualitative moment we experience as harmony.

5. The qualitative opens the way to value and ethics. Perhaps the most controversial conclusion of all, it seems to follow from the abstractions within harmony.


Footnotes, endnotes, references and resources

[1] 202 Notations. The simple math can be followed on the horizontal chart herein linked. A brief history of that work begins in December 2011 in a New Orleans high school.

[2] Big Bang. If Georges Lemaitre had studied with Max Planck, he may have begun thinking that his primeval atom was there on the baseline of Planck’s equations. It is. For now, we call it a plancksphere.

What shall we do with this simple construction? Why does it work? Why doesn’t it work?

Our chart is obviously mostly a description of the very early universe.

The really large-structure formation doesn’t begin until the 195th to the 197th notations!

The 202nd notation encapsulates over 10.9 billion years!

Within a notation there appears to be time asymmetry, but once integrated with the first 201 notations, it becomes part of “the Now” and time symmetries become evident.

We do not know the answers so we reach out to scholars who might. For this homepage, we have asked Alexander Vilenkin of Tufts, Claus Kiefer of Cologne, and Steve Adler of the Institute for Advanced Studies (click on their pictures above). If any allow us to post their comments, we will. Thank you. – BEC

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

Which concept is strongest? Which is weakest?

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