Initiated: April 16, 2016  Work-In-Progress: July  2016

Abstract: An alternative to the Big Bang theory originates from the studies of a high school geometry class of combinatorial geometries and base-2 exponential notation from the Planck base units, especially Planck Time, to the current time and Age of the Universe. Preliminary studies of five columns and 200+ notations begin to address key questions raised about the relation between the Standard Model of Particle Physics (SMPP) and the Standard Model of Cosmology (SMC). The simple doubling logic echoes bifurcation theory, imputes homogeneity and isotropy, and provides clues about the deeper workings of  renormalization and universality. The first 67 notations, a very different small-scale universe, provides the essential foundations for this model. At the 67^th notation the  Planck Time doubling is still a very, very short duration: 1.59126 ×10⁻²³ seconds. At the 134^th notation it is just two-one thousandths of a second (from the first moment of creation) and the model already provides a deep infrastructure for life. Each of these notations might be considered an archetypal layer, the foundations for our Human Scale universe which must itself also be archetypal. It will take just another 67 more notations to bring us to this day.  From notation 134 to 201, traditionally referred to as the Large-Scale Universe, all of human life and our earth and solar systems evolved in that last notation, #201.  We hope to explain this model’s voracious appetite for information yet why its simplicity may give rise to the potential veracity as a model.

1. Key Questions

This article is built around five key questions to take us into the rows and columns of numbers within this model.

• How can this model explain an integrated universe that includes everything, everywhere, and throughout all time?
• Can such a simple model account for the complexity of the Standard Model of Particle Physics (SMPP)?
• Could this model build bridges that create continuity from that small-scale universe to the large-scale universe in such a way to account for dark matter, dark energy, and inflation?
• In what ways could the model account for quantum mechanics (SMPP) and gravitational forces within Condensed Matter Physics (CMP)?
• Does this infrastructure give rise to homogeneity, isotropy, universality, and renormalization?

Let us take each question, one at a time.

2. How can this model possibly explain an integrated universe that includes everything, everywhere, and throughout all time?

There are now two charts that show the progression of tabulations from the Planck base units.  Our very  first in December 2011 only involved the Planck Length. In February 2015 all five of the Planck base units were tabulated together.  We now study up and down each of the five columns as well as across those columns.  We are also now studying the number of simple vertices and scaling vertices within the small-scale universe.  The simple logic evolves into complexity and a very different view of the universe.

The five Planck base units are time, length (space), mass, charge, and temperature. First, notice that Planck Temperature starts in the current notation and is halved with each successive notation down to the other Planck base units.At the Planck singularity, we assume 0º Kelvin.  On the first notation it jumps to 4.4084867×10^-27 Kelvin.

You may notice that the first doubling of the Planck Length is repeated.  There are too few vertices for projective geometry, but there are enough for a pointfree vertex to establish a two-dimensional plane that on the next doubling becomes a three-dimensional sphere.

We impute that  infinity is a perfection and the most simple perfections  are order which is continuity, and relations which is symmetry.  Simple conceptual numbering such that the first sequence is necessarily related to the second and all subsequent sequences is continuity.  To build a universe, sequences interact with sequences forming relations that are best described as symmetries.

The computation of Planck Time…

3.  Could  a more simple model or theory account for the complexity of the SMPP model? Check the number of vertices by the 20th notation.  The September 2012 version of that chart begins with the simple doubling of the Planck Length to the Observable Universe.  The most instructive tabulations only happened after Freeman Dyson said, “Since space has three dimensions, the number of points goes up by a factor eight,* not two, when you double the scale.” As a result, on the horizontally-scrolled chart, there is a row labelled, the Scaling Vertices (×8).  Base-8 is not as fast as base-10, but it certainly is dramatic.  By the sixth notation base-2 has reached 16 pointfree vertices while base-8 is up to 32,768.

Much more to come….

• https://bblu.org/
• Numbers: On Constructing the Universe From Scratch
  https://bblu.org/2016/01/08/number/
• Horizontally-scrolled big board – little universe:
  https://bbludata.wordpress.com/1-204/
• First of 37 pages from the horizontally-scrolled chart
  https://bbludata.wordpress.com/1-6/ and then
• an assault on the big bang theory itself:
  https://bbludata.wordpress.com/2016/05/25/timeline/