29 June 2024

St. Peter & St. Paul, ca.67 AD

Hello everyone! Thanks for your patience.

There will be a series of articles about a new tool I have discovered. This actually allows us to grasp the quantum equations. After many trials I realized that it is impossible to describe the complicated formulas in just one equation. So, I developed a design tool that greatly simplifies complicated quantum mechanics. It comprises a couple of important ideas.

First, it is the 3-D projection on three 2-D planes – a kind of “blueprint”. (other projections may work as well). This makes things much simpler.

Second, from the foundations of transcendental constants the addition table and multiplication table are made / the sort of dot product of two vectors will create an addition table, while the cross product will give a multiplication table/. Matrices can be used as well to represent vectors, but I prefer just the numbers, it is a lot faster.

Third, only the original constants and numbers obtained from addition and multiplication tables are allowed, plus pure integers /used very sparingly/. From Original Transcendental Constants I use mainly constant C₁₆ and possibly C_0. One or two integers, and all the rest are values from addition and multiplication tables.

Fourth, this approach gives exactly the numbers you want to grasp. I have calculated already g-factors /sum of angular momentum and orbital magnetic moment – these numbers are dimensionless /of electron, proton, neutron, muon/ where electron g-factor is the jewel of calculation and experiments for quantum scientists. There is no absolute error in any of the calculated values.

Fifth, so, using my method we get exact values in a very simple way, where equations are a lot shorter than in traditional, complicated way, where mathematics seems to be most difficult of all in comparison with other fields.

Sixth, there are exponents involved and mostly multiplication of terms. The exponents are slightly greater than one. Therefore, the idea that quantum theory operates on the principle of superposition, or in other words, is linear, is not quite true - if constants are treated as the variables, which is possible. /When the graph is a straight line, and the exponent of a variable is equal to one/. The superposition is only an approximation. Graphs are not straight lines. If I used an exponent equal to one, there were absolute and relative errors introduced.

Seventh, I will post a series of articles /a lot of them/ explaining plainly all the things. Before that, I have to code a couple of simple FORTRAN programs to get the high precision numbers /15 and 35 significant digits/, since my HP calculator has only 12 significant digits, which is O.K. in most cases except for the electron g-factor measured in experiments. The g-factor of theory has less than 12 significant digits, and that is what I have used.

Eight, I will return to quarks and neutrinos after posting this series first. /I mean their masses and g-factors/.

Give me 7-10 days and the codes will be ready to go.