Universe* as a Unity Gain (?) Feedback System

Using 

${S\over O}=1$ ; justification: energy and mass are conserved, lossless system

${S\over O}={A\over{1+A\beta}}$

$1={R_\infty\over R_H}-{m_e\over m_p}$ & (using $m_e\over m_p$ instead of ${{\pi r_pR_H}\over \alpha^2}$)

$R_\infty={m_ee^4\over 8{\epsilon_0}^2h^3c}$

(will fill in math steps later, refer to The Universe is a Feedback System)

$A_v={S\over O}={A\over{1+A\beta}}$

$A_v=1$

$1+A\beta=A$

$1=A-A\beta$

$A={m_ee^4\over 8{\epsilon_0}^2h^3cR_H}$

$\beta={{8{\epsilon_0}^2h^3cR_H}\over{m_pe^4}}$

A, open loop forward gain:

https://www.google.com/search?q=%28m_e*%28elementary+charge%29%5E4%29%2F%288*e_0%5E2*h%5E3*c*%28Rydberg+constant%29%29%3D

This is approximately equal to 1 due to artificial tuning of constants

$\beta$, reverse gain:

https://www.google.com/search?q=%288*e_0%5E2*h%5E3*c*%28Rydberg+constant%29%29%2F%28m_p*%28elementary+charge%29%5E4%29%3D

* Universe of a Hydrogen atom

Moar later.

These values of $A$ and $\beta$ are reminders that this equation and this problem is rooted in the physical single hydrogen atom - a dynamic between a proton and electron.  This mathematical tool of transforming the equation to an analogous "system", one can pull out key features (with good math tools/models). The dynamic between the proton and electron captured in a simple diagram. The hydrogen atom, 1H, has a full analytical solution (full Wave Equation or combined Schrödinger wave equation for both proton and electron or however it's done).

The Surfer, OM-IV

Ω