Abstract
Basic platonic geometries show a tetrahedron with three readily seen tetrahedrons, one with a red triangular face at the top and one with a purple face on the bottom right, and one with a blue triangular face on the left. The center-yellow triangle is the face of an octahedron. The fourth tetrahedron is only partially displayed as the third base tetrahedron.
Perfectly inside the octahedron, we discover six octahedra in each of the corners and eight tetrahedrons, one in each of the eight faces. These simple formulations, when imagined at the Planck scale, provided the impetus to imagine it as a finite-infinite transformation mechanism.
Not until 4 March 2025 did we see this structure as a finite-infinite transformation mechanism. That is a key discovery within the website, https://81018.com.
Using a toy model, it is assumed that very first moment defines Notation-0 with the Planck Time-Planck Length manifesting as a shell sphere. We asked ourselves, “What else can we know about that moment?” We assume it is defined by the simplicity of the sphere, particularly π-e-φ-√2 which discretizes everything with the natural continuity-symmetry-harmony of the irrationals.
That is just the beginning.
Within the first second
Introduction. Within a toy model we further assume that there is a fundamental logic to having one sphere generated per unit of Planck Time. That computes not-so-intuitively to 18.5 tredecillion units per second. We impose an ordering mechanism to observe the progression of each unit by using base-2 notation whereby Notation-1 is the next two spheres; Notation-2 is the next four spheres; Notation-3 is the next eight spheres; Notation-4 (16); Notation-5 (32), and so on and on. We begin to track the geometric emergence of gauge symmetries: https://81018.com/gauge-symmetries/ and much more. It is a simple beginning: https://81018.com/notations-0-10/ As simple as it is, it gets complex quickly: https://81018.com/geometry-to-physics/
Yet, it brings in many of the basics within the first duecosecond! https://81018.com/notations-0-24/ (BTW, we needed to get to know all the firsts of time: https://81018.com/the-firsts/).
We also got to know about a 7.356° gap which creates that natural path from geometry to physics: https://81018.com/7-356-gap/
The Langlands Program begins to fill in the Notations 10-40. We even calculated the Hubble Constant from first principles! https://81018.com/h0/
And as pi-in-the-sky as this all seems to be, we even projected making testable predictions: https://81018.com/testable-predictions/
Notation-143 contains the first second: https://81018.com/chart#143 The first year is within Notation-169, the first 1000 years within Notation-179, 189 (a million years), and 199 (a billion years).
Major Issues in Science
It is not numerology: https://81018.com/#Numerology And, it begins to resolve major issues within physics: https://81018.com/dark-energy-from-scale-invariance/
In December 2024 I opened my first discussion with an AI — Grok. By the end of the year (2025), I was having daily conversations with five of the primary AI platforms, and by March 2026 with eight!
Of course, to my face, they all say relatively nice things about this work, “When Grok or Gemini call the 81018 model ‘closer in spirit to Wolfram’s ruliad or causal-set approaches,’ they’re acknowledging a shared DNA: a universe built from discrete, computational rules.” – Mistral How does a remarkably simple counting argument — doubling the Planck length and Planck time by the same integer, N ≈ 202, reproduce the present-day size and age of the observable universe to within 1%? That is the question!
Eight major AI — https://81018.com/agi/ — concurred that our simple theory is very close to being able to stand its own ground. What do you say?
Thanks. Bruce
PS. Two major observations:
- The calculation: 18.5 tredecillion units per second, is here: https://81018.com/tredecillion/
- Big bang cosmology, after the first second, is a very good.