To derive all the planck constants...
In the beginning, from the work of Einstien's photovoltaic measurements,
planck constant h was determined by measurement.
And in the electrical lab, c, the speed of light, was measured.
From here, ALL the planck units can be "DERIVED".
My methods are better than dimensional analysis because my methods explicitly maintains
coefficients that dimensional analysis may loose. Dimensional analysis sacrifices information of
Planck Mass Constant:
It is a trivial matter (sorry) to define the Planck Mass.
Newton on the left, combining with Einstein on the right.
Newtonian energy, Kinetic plus Potential = mc2.
Planck Energy Constant:
Once mass is determined from above, Energy is quantified.
Each planck energy is approximately two Joules.
But more importantly, Energy is in terms of G.
Planck Length Constant:
Length is predominantly determined from a Keplerian G of planetary motion, and to a lesser extent, from the G from
quantum sources. In any case, dimensional analyses is not needed.
Length is in terms of G.
Planck Time Constant:
A Planck second is easily defined...
Planck Charge Constant: