Planck Units Constant Standards

Back when I was in the Air Force, I spent several days thinking about a new type of computer. In the control room we sometimes had hours of total boredom, so I dreamed. I conceived of a light computer, that used lasers of different colors. Each color would represent a parameter or dimension. One such set was the SI dimensions: Mass, Length, Time, Charge. There were many more colors below these, put they were not pure. Below these, complex catagories could be fabricated. Any non specific object could be described as a class of colors. I had a good knowledge of electrical mixing and heterodyning. But binary addition with light beams illuded me, in regards to practicality.

But the notion of dimensions in science that are immutable, exact, set and defined, had already come to fruition thanks to Planck and Einstein. They stand alone as a standard.
To derive all the planck constants...
In the beginning, from the work of Einstein's photovoltaic measurements,
planck constant h was determined by measurement.
And in the electrical lab, c, the speed of light, was measured.
These were later, Defined. The stage was set...

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 coefficients.


Planck Mass Constant:




It is not hard to do this. Start by defining the Planck Mass. There are several variations, all valid.

Newton on the left, combining with Einstein and Planck on the right.
I combine the gravitational world on the left, with the subatomic on the right. In this first model, and on the right, I will use Bohr's notion of a hydrogen atom. It involves the 2 pi radius, or more specifically; matter. Without it, we are dealing with pure electromagnetic radiation, or pure energy. With or without the 2 pi, both are valid.


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:






Planck Time Constant:




A Planck second is easily defined...



Planck Charge Constant:




The analogy to mass is straight forward, and similiar to gravitational mass calculations.