Klee Irwin, Quantum Gravity Research, Topanga, CA 90290
Homepages: http://QuantumGravityResearch.org Also: http://KleeIrwin.com
First email: 26 March 2018
I would like to introduce you to our very simple model of the universe based on the Planck units. Of course, your work has come to our attention from several different directions and we have made a reference to it here: https://81018.com/fabric/#QGR
Back in December 2011 our high school geometry classes within a New Orleans high school started to map the universe, first by tiling and tessellating the universe with the tetrahedral-octahedral couplet. Then we started exploring inside each of these two Platonic solids. It was Zeno’s paradox all over again. But this time we had a goal — the Planck Length.
We went inside each of the Plato’s solids, but focused on that tetrahedron and its octahedron. Tetrahedrons have four half-sized tetrahedrons, one in each corner, and an octahedron in the middle. Octahedrons have six half-sized octahedra, one in each of the six corners, and eight tetrahedron, one in each of the eight faces. We were dividing the edges by 2, connecting the new vertices, going back mathematically. In about 45 jumps we were within the CERN-scale!
Within 67 more jumps we were in the Planck scale. We declared it a STEM tool and thought it was rather cool. Then we went researching to find it on the web. The closest thing to it was the 1957 work of Kees Boeke with his base-10 scale of the universe done. It was helpful, but he had no geometry and no Planck units and it didn’t mimic cellular division.
We also loved the insides of that tetrahedron and octahedron. It seemed like a miracle configuration.
We reversed ordered the process and this time we used the Planck Length as a starting point. Doubling it, then the results over and over again renders the entire universe within just over 202 notations. By 2015 we were getting anxious about the first 67 doublings so we added Planck Time and in 2016 we added Planck Mass and Planck Charge just to follow whatever logic might present itself. Our horizontally-scrolled chart made it easier to track all the numbers.
Today, we are inviting Turok, Arkani-Hamed, and Tegmark to consider our redefinition of space-time and infinity: https://81018.com/redefinition and https://81018.com/goals
I hope you find it all a bit intriguing. It is idiosyncratic to be sure.
1. We would posit the sphere and pi as the penultimate bridge between the finite and infinite. The other dimensionless constants follow.
2. You’ll see the cubic close packing of equal spheres dynamic GIF. That gave us our first bridges to platonic geometries; however, the industry tell us that projective geometries provide the first definitions.
This note is getting a little long, so please know that I profoundly respect what you all are doing; let me simply say, “Three cheers for you all!” I thoroughly enjoy your work.