Lol, thats just a complicated way of rewriting m_p over m_e :

the mass ratio immediately reappears when substituting the reduced compton wavelength definitions.

With unnecessary base 2 logarithms and powers of 2 to undo it...

You just ended up with a tautology m_p / m_e = m_p / m_e

Sucks about the foreclosure so you should sign up for welfare services b/c if your finances are that bad then you will need government assistance to get back on your feet.