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...
