# Stacking spheres

by Bruce E. Camber A Working Draft, May 8, 2021

Much has been said about cubic-close packing of equal spheres within this website. Before it can begin to work its magic, the spheres must stack. The key concept is that they immediately stack, the density is such that all possible space is used. Compression and compactification are extreme.

Key pages are here: https://81018.com/stacking/ https://81018.com/ccp/

This site has only begun to discuss compression, compactification, and density. One of the first explorations was in August 2017: https://81018.com/planck_universe/#31 Entitled Measuring An Expanding Universe Using Planck Units. At Notation-31, the units of time and length are extremely infinitesimal, yet the mass calculation is 103 pounds. At Notation-64, the mass (which we know using Planck’s numbers is not quite right), is 3.211×1012 kilograms. That is in the density range of Neutron stars and nuclear pasta. We need the advice of scholars, experts within these fields to advise us. Although we’ve engaged a few such scholars and will continue to do so, much more needs to be done. So, if you happen to be among this very select group, could you take a few minutes to look at the flow of numbers and densities along all 202 notations, the density levels begin to drop slowly from 1-to-202 yet within Notation-202 we observe the extreme densities of Neutron stars at the end of a star’s lifetime. Is there a way to know from which notation information is being observed? It is an open question.

The most extreme are within the first 64 notations. The density slowly decreases until at Notation-202. The base-2 mathematics brings it right in the range of what is measured uniformly through the universe today. The compression of the first spheres is on the order of blackholes. We will begin a more intentional study of blackholes because this my first realization that we have a “black hole domain” within this model. Here, however, one might imagine that each primordial sphere is pulling the next out of the pi “birthing channel.” So, although coming out at a blistering pace, the logic for movement-and-placement may well be predetermined. As well, it seems that the definitions within each prime number notation may well be predetermined within those small-scale notations.

Stacking. We have said that the thrust of the first group of notations is to create forms. The next group will be to create structures. And further following the logic of simple-to-complex progressions, perhaps the next group would be substances, then qualities, relations, and systems. Here we project the mathematics of Langlands programs, the many faces of string theory and M-theory, Loop Quantum Gravity, causal dynamical triangulation, causal set theory, scalar field theory, perhaps Spectral Standard Model… all work currently within one or more of the faces of these 64 notations. Here, engaged at the cutting edge of research of the very nature of our universe, these disciplines are given the necessary space to develop and interact. It starts with sphere stacking.

Currently our biggest struggles to go forward is to deem the logic of each notation, both the forms and functions within a notation and the very nature of the transitions themselves. Any thoughts or advice? Please. Your help will be most appreciated.

Starting with each notation within the Small-Scale Universe, Notations-0 to Notation-67. A special focus must be on the prime number notations:
2, 3, 5, 7: Forms. Might base-3 be for triangulations and triangular plates?
11, 13, 17, 19: Structures
23, 29: Substances Might Notation-23 be related to genetic materials?
31, 37: Qualities
41, 43, 47: Relations
53, 59: Systems
61, 67: Standard Model of Particle Physics?

Later we will be dealing with The Human-scale Universe: Notations 67; 71, 73, 79; 83, 89; 97; 101, 103, 107, 109; 113; 127, and 131, 137, and 139.

Even later, we will begin dealing with The Large-scale Universe: 137, 139; 149; 151, 157; 163, 167; 173, 179; 181; and finally 191, 197, and 199.