E=mc^2 pattern inside h and k constants.

Boltzmann incorporated E=mc^2 into his k constant and never knew it. That was decades before Einstein came up with the formula.

In my framework I isolated the unit scaling inside h and k:
Hz_kg = h/c^2 with units of kg s
h = Hz_kg c^2

K_Hz = k/h with units of Hz/K
k = K_Hz Hz_kg c^2

For k we start with the basic formula:
E = T K_Hz Hz_kg c^2

We combine T K_Hz to get a frequency f.
E = f Hz_kg c^2

We combine the f Hz_kg to get a mass m
E = m c^2    <<== It is right here, there is the pattern.


For h we start with the basic formula:
E = f Hz_kg c^2

We combine the f Hz_kg to get a mass m
E = m c^2    <<== It is right here, there is the pattern.