An amateur doing group theory (updating)

I start with the idea that symmetrical grouping by charge came in the 1/3 multiple. At that point, kinetic energy of the electron in hydrogen was balanced, likely with the kinetic energy of the containing magnetism. The impedance of free space is the kinetic ratio between the inner and outer, computed in units of 1/3 charge. Then that ratio becomes the mismatch between phase and Null in the region when the first three levels of quantization take place.  That symmetry gives me the apparent curvature (the unit of quantization ratio), computed in units of stable group packing.  The quark forms a stable group, it is the first point where arithmetic works for group theory. Then atoms match kinetic energy in those units.  My real Pauli rate is less, and must be computed in units of the original 2/3 arithmetic. In other words, the ratios were created because of the real Pauli rate making a outside containment field faster than the nuclear force could stabilize. That delta must  computed in 2/3 arithmetic, the radius of the hydrogen, with a remainder being equal to the region of stability for hydrogen.

But the matter is complicated by a prior fundamental unit, made of strangeness, updowness, topbottomness, stangeness and charmness. Mass, or packed nulls were captured in a way to make a whole number out of all those at the nuclear level, it is the unit being calculated, actually.

How? Still working the issue. Any expert, please stand up, now.

The optimum packing ratio assumes Nyquist, and that sets the apparent curvature to the golden angle. So all the ratios in the nuclear ave the common multiple of 2. And with that, it is computing the whole number that makes stable groupings.



The ratio between the golden angle and the Nyquist angle is the redundancy in twos arithmetic.  That must be the ultimate Plank distance. The real rate must be quantized in units of those. But that is just a hand wave on my part.

Well, up/down have the best mass ratio, likely came first and is the smallest common multiple?  The charm and strange, in the next multiples of that. Then top/bottom, and finally, those common multiples arranged into multiplicands to make 1/3 units. Reconstruct those ratios and look at the whole word that packs them all, at the golden angle?  That whole number should be packed as 11111101, of that form.  It is not. The unpackedness must be deterimed by the real Pauili ratio being different than the golden..

I should be able to recompute the nuclear in Nyquist 2s arithmetic, then with that arithmetic, compute the partially packed whole number of the nuclear and the packing ratio is the minimum unit by which Pauli rates can be set. So I find the closes Pauli rate?

. The angle 137.5° is related to the golden ratio (55/144 of a circular angle, where 55 and 144 are Fibonacci numbers) and gives a close packing of florets. 

That golden ratio is the apparent angle when the nuclear is packed. The ratio 55/144, is for Sunflowers. We need that ratio for the nuclear. Except that the apparent ratio must be the optimum congestion ratio, 2/3, that is the group separation where packed nulls most stable and most accurate, at the same time.

Maybe the world is Nyquist, the packing is golden, but stability of group separation establishes in groups because of excessive balance in Nulls and phase.  The world may simply be flat, packing set to ratios close to golden, but  Pauli curvature is established by imbalance. My next step would be to just use the golden angle, based on the limit of the golden ratio. That would be correct if high density got packed first, as the vacuum would have packed as closely to the golden as required by the highest density.

 This is it, Golden and it is a faster sub-sampler, relative to optimum congestion. The world is made of units of these?


Here are the properties. Try to find common fractions in the groups.

Quarks

Name	Symbol	Antiparticle	Charge (e)	Mass (MeV/c2)
up	u	u	+2⁄3	1.5–3.3
down	d	d	−1⁄3	3.5–6.0
charm	c	c	+2⁄3	1,160–1,340
strange	s	s	−1⁄3	70–130
top	t	t	+2⁄3	169,100–173,300
bottom	b	b	−1⁄3	4,130–4,370

Measured mass do not conform to the same groupings as charge,phase and antiness. And these:

Name	Symbol	Antiparticle	Charge (e)	Mass (MeV/c2)
Electron	e−	e+	−1	0.511
Electron neutrino	ν e	ν e	0	< 0.000 0022
Muon	μ−	μ+	−1	105.7
Muon neutrino	ν μ	ν μ	0	< 0.170
Tau	τ−	τ+	−1	1,777
Tau neutrino	ν τ	ν τ	0	< 15.5

All the charges are relative to the electron. The mass is set as energy equivalent. The charges balance, mainly because they balance across the atom, and set the principle value, relative to the electron. It looks like charge, not mass, set up the groups. These were not forged in gravity, they were forged with a strong, negative phase, magnetic monopole. The density at creation did not match an efficient packing, and the magnetron formed at the normal curvature, whcih we still have, and that packed the sub atomics, which are now inefficiently packed.

My Pauli curvature should be (-1/3,0,+1/3).

Name	Symbol	Antiparticle	Charge (e)	Spin	Mass (GeV/c2)	Interaction mediated	Existence
Photon	γ	Self	0	1	0	Electromagnetism	Confirmed
W boson	W−	W+	−1	1	80.4	Weak interaction	Confirmed
Z boson	Z	Self	0	1	91.2	Weak interaction	Confirmed
Gluon	g	Self	0	1	0	Strong interaction	Confirmed
Higgs boson	H0	Self	0	0	125.3	Mass	Confirmed
Graviton	G	Self	0	2	0	Gravitation	Unconfirmed

oasha