Our basic introduction to the sphere
Our primary introduction to the concept of an infinitesimal sphere is here:
• • https://81018.com/structures/ It is preceded by these pages (December 2024):
• • https://81018.com/correct/#8z defines an infinitesimal perfect sphere (November 2024)
• • https://81018.com/identity/ Notations #0 of 202. (August 2024)
• • https://81018.com/sphere/ (March 2019)
• • https://81018.com/simple/ We’ve come a long way from this “Simple Start” (2015)
Of course, these explorations will go on and on.
Questions when answered open new questions. This study will abide and go on and on:
• Is a single sphere forever defining its three-dimensionality?
• Is there an eidetic precursor of all manifestations of Notation-0 to at least Notation-50?
• Is the eidetic precursor on a finite-infinite bridge?
• Is sphere packing-and-stacking the first operational function in the universe?
• Is there one Planck sphere for every unit of Planck time and Planck length?
Max Planck’s equations for base units tell a simple story. It takes one unit of Planck Time to go the distance of one Planck Length. It computes well. Planck Length divided by the Planck Time is equal to the speed of light within that notation. Depending on which values we use for Planck Time — they were officially adjusted by the world’s standards agencies (BIPM, ISO, NIST, CODATA, NPL…) as recently as 2019 — we still come within .001% of the ISO declared value of the speed of light in a vacuum (See line 10) within all 202 notations.
Just below our measurement scale from Notation-0 to Notation-64. Called hypostatic particles, composites of spheres have more feature/functions than any particle currently defined. The widest use of pi (π) in so many applications was telling us. The sphere is a super particle giving critical support in our most strategic relations.
A super-grid, from the dark matter, dark energy to the ether.
Base-2 applied to the Planck scale base units renders a map of the universe with 202 notations, each notation defined by an exact multiple of the Planck base units. Hypothesized to manifest at Notation-1 is the simplest three-dimensional object, the sphere. If one “Planck sphere” manifests per unit of Planck time, 18.5 tredecillion spheres manifest per second. Therefore, it is hypothesized that the universe is a grid of infinitesimal spheres defined by the Planck units, intensely dense and well below our thresholds of actual physical measurements. Here is the essence of dark matter and dark energy from which evolve as superclusters galaxies, stars, in one direction and stars-planets-moons in the other.
Simple basic structures of the Universe utilize the most simple equations. Spheres use pi (π). Within pi (π) there are three states that give us our forms and function that dominate the universe: continuity (endless numbers), symmetry (perfect shapes), and harmony (perfect dynamics). All are below the thresholds of measurement. These three create perfections (homogenous and isotropic) in the earliest notations of the universe.
The densities are so high and the durations so short, there is no time for anything but perfection. There are homepages that focus on this. One is titled: Pi (π): 3.14159… and the Planck base units. The URL is https://81018.com/identity/ and the kicker is: “The numbers, geometries, and equations that define the finite-infinite transformation also defined the very first instant of this universe.” Another URL to review: https://81018.com/perfection/
There are many factors that cause things to double in size and double the amount of time it takes for things to happen. Space-and-time have a unique relation like mass-and-energy. Einstein’s equation, e=mc2 tells us as much.
Research. In 2011 when we unwittingly backed into this model, we were trying to answer a basic question about geometry. How many steps inside the tetrahedron do we have to take to get to the Planck base units if we divide the edges in half, connect the new vertices, and shrink down in size to do it again? We were surprised to find that by doing the simple math in 45 steps we were into size ranges of particle physics. Within 67 more steps we were within the range of Planck’s base units. It didn’t seem possible, but 112 steps within were all it took. We began multiplying the edges by 2, and in just 90 steps were were in the range of the size of the observable universe. Nobody told us. Then, we researched it, and found nobody was telling the story:
“202 base-2 notations of Planck’s units encapsulate everything, everywhere for all time.”
Results. We placed all the numbers in our first chart and called it the “Big Board-little universe.” Our first chart was eight feet high. It was definitely a big board. With just 202 steps, it seemed smaller than a playing field. That became our first story on the web: https://81018.com/home
Testable and Verifiable. Quite unlike all the other theories and their many flavors — Steady State[w], Big Bang, Big Bounce[w], Oscillating Universe[w], Hypersphere World-Universe Model, the inflationary multiverse or eternal inflation[w], and multiverse[w], none originate from the Planck base units, spheres, basic geometries, pi (π) and exponential expansion (base-2). One Planck sphere per unit of Planck time is testable: https://81018.com/c/ It is line 10 in the horizontally-scrolled chart. Every notation, where the value of the base units, is within .01% of the speed of light in a vacuum. See: https://81018.com/chart/
Simple Basic Structures of the Universe. Scientific and scholarly thinkers have yet to be truly introduced to the most simple geometries. Perhaps the longest standing mistake in history was by Aristotle. By the time it was corrected 1800 years later, it was obvious it was of little consequence to academia. Six hundred years later, in 1925, Dirk Struik reviewed its history (having become a mathematics professor at MIT, just at the forefront of quantum physics). Nobody connected the two. By 2012 when it was reviewed again, the question wasn’t even asked about the nature of the five-tetrahedron gap of 7.35610+ degrees.
The five tetrahedrons sharing an edge is a basic structure that does not perfectly fill space. They leave a gap of 7.356103+ degrees. Five octahedrons sharing the same edge leave the same gap. A speculative hypothesis is that here quantum fluctuations begin.The spheres and the geometries have the possibility of moving at the infinitesimal level.
With well over 1000 numbers defining these notations, experimental work will quickly confirm or deny the efficacy of this theory.
_____
Keys to this page, universe-structures
• This page supports the homepage, structures.
It was first posted on 14 December 2024. It is still “under construction.”
• The last update was 1 April 2025.
• The URL for this file is https://81018.com/universe-structures/
###