Why does chage look like clouds when we compute atomic orbitals?

I sort of glosses over the fat that the electron is a tiny thing compared to the proton, it has a puny SNR, so there is an 18 order difference in their masses. All of those orders represent Paulis paths where the electron could be at any time.  I left it at that.

But, we can compute the minimum SNR we need to find small mass moving arouns, the Planks equivalent in this model.

Myquist has an SNR of .414, computed using:

2**(1/2)-1 = .414, and that is an energy measure.
At the Pauli rate we only get 2/3 of that measure:
2**(2/6)-1 = .256, which is the relative energy increment we need to tell a difference in a system. The key word is relative it is not an absolute number. I will try to nail some of these numbers down.  But relative, in the proton/electron model is the is the difference in energy, by mass, between the two. Something like 1836.  So that can be divided into units of .26. But the .26 is an additional order added, relative to the one in the system, not absolute.


 I will work with my spreadsheet and see if that matches up.

But whenever you add that much energy to the proton/electron model, you are  adding different axis relative to the proton by which you can align the electron cloud.   Readers who are tying to work this model would be easily confused by me.

Force in this system is a quant having a sample rate relative to Pauli, that is the nearest I have to a Planks constant.