How much disorder can it manage in a 3D world. Well, it can manage maximum disorder, 108, and if it it 4D its maximum dimensional capacity is 256 times that. But it is not that packed, and it can operate with 17 times the 3D capacity, easily enough to manage 16 different orbital plus itself.
So that capacity of the proton is 1836.. This is the total number of combinatorials the rpoton can handle on three measuring sticks.
What about us? Our instrument throws in another stick, it adds 27 combinatorials, and that is why the orbitals poop when we insert our stick. That is an interresting number, 3^3 is the maximum disorder in a 3D system. But ask yourself, it that instrument of ours, made in a 3D world would always sample at the Avogadro limit. When we measure Avogadros withour 3D insturments we always get the same number.
In a 3D weorld, we are under sampling a bit from standard 2D Shannon, we are at 3/2. One can see, tight away, the total number of sample is very close to Avogadro.
The 3/2 it the number of ways a charge can be combined with all the disorder possibilities. It is the number of levels any scientific approved measuring stick can measure on a 3 axis, non relatively prime surface. axis
4D
start with 1,1,1,1 get 1,1,1,3 to 1,1,3,13 to 1,3,13, 156 I think. That is it on the 1,w,x,y,z line, the next jump exceeds the maximum disorder for three primes and a unitary. That third elements tells me their is 13 second curvatures it can maintain, add in the dirst three quadruples and I see 18 possibles. So, the proton used the orbitals to partition the chaos. The proton rules this roost.
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