Their Whistles Make The Difference

Continuing from the previous post "And They Dance" dated 18 Jul 2016.

The point was,

$r_p\lt r_e$

then,

$\cfrac{m_e f_e^3}{m_p f_p^3}=\cfrac{r_p^4}{r_e^4}\lt\cfrac{r_p}{r_e}\lt 1$

and if we attribute the factor $\cfrac{ f_e^3}{f_p^3}$ solely to $m_e$,

$\cfrac{m_e.\cfrac{f_e^3}{f_p^3}}{m_p}\lt 1$

as, $f_p\gt0$ and $f_e\gt0$

$\cfrac{m_e}{m_p}\lt \cfrac{f_p^3}{f_e^3}$

This might be the reason why, $m_e$ is made small (relatively, $m_p$ made big) as $f_e\gt f_p$ with the electron at light speed.   Whereas, if $m_e=m_p$ everything collapses to 1 and all expressions are satisfied.

This does not imply $m_e=m_p$.  $r_e$ and $r_p$ are the orbital radii of the electron and hydrogen nucleus respectively.

And so they dance...