Since has a different dimensionality than G, we can now use it instead of G, to form the standard units of m, r, and t by combining with h and c. So doing yields:
(6) |
Another interesting result is obtained when the classical electrostatic force is equated with the interaction at the distance , using as one of the masses, and solving for the other mass. We get:
(7) |
(8) |
This, of course, is very close to the value for the electron's rest mass. Thus, we apparently have a way to uniquely determine both the proton and electron rest masses. While these results could be considered as merely chance numerical coincidences, it is possible that this result could point toward some sort of exchange interaction, whereby quantum mechanical operators allow interchanges between fundamental M and ``particles".