Pauli separtion paths in the hperbolic, groups structure and making atoms

Look the hyperbolic functions. They talk about an angle that defines the containment of a Hyperbolic field. That makes groups, or sets in the F codes which really do not match.  The extra terrestrials from gravity up, the subatomics, electron and magnetic About four large groups groups, minimum.  The Higgs look ahead, its largest packing. And the electron phase and proton phase meet that look ahead, they can be treated as a subgroup in the atom.  So, negative phase to the electron, positive to the proton. The positive curls around the atom, like a planet in motion. Add more electron and more atoms, then the groups subdivide in the algebra, into almost complete and compact subgroups. In the atom, the are the orbital paths available.  The hyperbolic sub functions should construct orbitals.

This picture is for fun and entertainment, but it has Pauli separation planes.

The proton region can hold almost as much positive phase as Nulls, huge. The negative half of that phase gets split into partial Packing, some how, and lots of Nulls for free orbits. The standard model is normalize to the electron because that is the group boundary, nothing more special.

The magnetic is within one look ahead span of the electron. And the gravity and magnetic should be one look ahead, but I cannot find that distance, I have not worked the model accurately. But long wave EM on earth and short wave visible at the periphery of the solar same should be the same effect. So the group algebra of F codes is a real important clue.

The magnetic is  ill-formed, and its quantization rate determined by the difference in charge of a free electron with the positive phase of the conducting atom, usually copper.  That Quantization distance belongs to the magnetic phase motion, the impedance of space. The magnetic positive phase is like any the phase equalization in any other order. Impedance, a quantization result at the source. It is limited at low wavelength because the look ahead makes gravity/magnetic sub groups, in the model.. The EM quantization difference, their relative quant rates. The moving quants can carry free Nulls in the environment, as near as I can tell.  Much of classical physics is built around free Nulls. 

The distance between groups shows why the gravitation effect in the proton is weak, but is also means packed protons can carry gravitation field alignment and positive valence without breaking up. This should come out in the group theory.

Convert the Lorentz to hyperbolic.  Look at group overlap in the F code algebra. Folow up on these hints from Wiki:

There are many ways to derive the Lorentz transformations utilizing a variety of mathematical tools, spanning from elementary algebra and hyperbolic functions, to linear algebra and group theory.

Look up the residual theorem for hyperbolic, it tells us something about groups.

Phase transitions from liquid to transactions are treated like ratio changing over the mode. Whenever we make it colder, or hotter, we are changing Null density. Foloow up on this:

The  Ising model  named after the physicist Ernst Ising is amathematical model of ferromagnetism in statistical mechanics. Themodel consists of discrete variables that represent magnetic dipolemoments of atomic  spins
that can be in one of two states (+1 or −1).Consider a square lattice. On each lattice site i.

 There is a variable spin, which interacts with each other through anexchange interaction, J,  which favors parallel alignment and thus we define a Hamiltonian.

Another source on hyperbolic algebra here. And here are functions to compute gradient flow in mixed systems, may help. This paper on isolating monopoles in Hyperbolic layers. Anyway, an entire 20 careers, all on this model, Shannon, F codes and hyperbolics.  Google, Apple, many universities, big industry, have lots of fun. If you know this, you have a good job.