And since these electrons have two orbital radii, the correct perturbation to the orbital radii generates two ranges of radiations. One range of radiation corresponds to a change in \(r_h\) and the other a change in \(r_{or}\). \(r_h\) responds to electric fields, as the electron is held by a proton via an electric field. \(r_{or}\) responds to temperature, as the proton is held by the weak field due to a spinning positive temperature particle.
Since,
\(r_e=r_{or}(1+\cfrac{r_{h}}{r_{or}})\)
and if we attribute the fractional increase in the g-factor from two as solely due to \(r_e\),
\(g=2.00231930436182\)
\(\cfrac{r_{h}}{r_{or}}=0.00231930436182\)
and because the radiated frequency is inversely proportional to the orbital radius,
\(\cfrac{f_h}{f_o}=\cfrac{1}{0.00231930436182}=431.164\)
\(f_h=431.164f_o\)
where \(f_h\) is the high radiated frequency due to a change in \(r_h\) and \(f_o\), the low frequency radiation due to a change in \(r_{or}\).
A dual tone symphony. Which brings us to temperature effects on electric conductivity...