07 March 2024 AD; St. Thomas Aquinas (1274 AD)

The second step in the explanation of ‘how we got here' is the General Formula for Mixing Angles and associated with them vector magnitudes. This Universal Equation works with any number /real, complex, integer, etc./ I will start with a simple 'Integer Formula' to calculate the exact value of the Fine Structure Constant, alpha. The Nagoya University Team from Japan had the closest value in 2012, mine was calculated in 2017, and the official value of the Fine Structure Constant, alpha, is getting closer to my number every year.

Before the General Formula is derived in the following books, here is a short description of formulae for particular constants.

Because the whole formula is too long to put together in one piece, it must be split into parts for a clearer understanding.

After many tests on different possibilities, the experimental results are as follows. 

 ✠1 - Integer Formula for the fine structure constant alpha, α_E, ruling electromagnetic force. 

A = ( C₀)^{(24 ⁄ 24)}

B = ( C₁₆ / ( 8 + 2 * (24/24) ) )^{(88 ⁄ 24)}

C = ( C₁₆) * (8/24)

Where C₀ and C₁₆ are calculated constants (see books 4a and 4b for numerical values).

ExpM = ( A / B )^C

ExpM stands for Exponent Main

D = 16 + ExpM

FT(x=D) = ( C₀) * ( π / e )^D

where FT(x) is the value of the transcendental constant at x = D (see Book 1)

ExpP = ( 16 + (24 / 24) ) / ExpM

where ExpP stands for Exponent Partial

Now, the fine structure constant to the power (-1/2) may be calculated.

( α_E )^{( − 1 ⁄ 2)} = ( FT(x) / ( 8 + 2 * (24/24))) ^ExpP

This last result to the power (2) will give the reciprocal of alpha, and the result to the power (-1) finally gives

 the fine structure constant, alpha, α_E with numerical value:

( α_E )^{( − 1)} = 137.035 999 181 727 13

This result is consistent with the alpha calculated by a Japanese team from Nagoya University in 2012

( α_E )^{( − 1)} = 137.035 999 174

Over the years, alpha has been and is getting closer and closer to my theoretical result.

And the official 2023 measurement is, 1/α = 137.035 999 166

This is how the calculations are done in the simplest form. To obtain a Universal Equation for any number, a lot of changes have to be made.

Break for something elevated:

‘17. Narrative for Book 6 - Derivation of the General Formula for Constants of the Cosmology and Quantum Mechanics.

28 July 2022

Sts. Nazarius and Celsus (68 AD); St. Victor I (168 AD); St. Innocent I (417 AD) 

New narrative:

"The Dialogue of the Seraphic Virgin Catherine of Siena"; completed in 1370 AD; translated by Algar Thorold; Chapter CIX; p.232; God the Eternal Father to St. Catherine of Siena: “And as I, thy Creator, grant thee the opportunity, for without Me thou canst do nothing, I will fulfill thy desires, but do not thou fail, or they either, in your hope in Me. My Providence will never fail you, and every man, if he be humble, shall receive that which he is fit to receive; and every minister that which I have given to him to administer, each in his own way, according to what he has received and will receive from My goodness.”

In this section, I will provide links to the previous articles on how to get the complicated formula for mixing angles of particles and their vectors. Let me first show the actual work, and then the explanation will follow.

This is the first part:

https://www.luxdeluce.com/42-book-6-derivation-of-general-formula-for-constants-of-the-cosmology-and-quantum-mechanics-part-i.html

This is the second part:

https://www.luxdeluce.com/43-book-6-derivation-of-general-formula-for-constants-of-the-cosmology-and-quantum-mechanics-part-ii.html

In both cases skip the syllabus link, please. This is a work in progress and the syllabus is okay, but needs more data to become a reality.

So, we have arrived at the following:

✠Finally, the General Formula for ( α )^{( − (1)/(2))} is:

 

✠( α_x )^{( − (1)/(2))} = {[(C₀)(π ⁄ e)^(x + ExpM)]*[(x − 8)/(x² − 16x + 80)]}^{[(9x − 8)/(8ExpM)]}      (Eqn. α) 

Where: 

ExpM = ( A / B )^C      (Eqn. EM) 

And parts A, B, and C are: 

✠A_x = ( C₀)^{((x − 8)/(8))}     (Eqn. A)

✠B_x = {[(C₀)(π ⁄ e)^x][(x − 8)/(x² − 16x + 80)]}^{[(11x − 88)/(24)]}     (Eqn. B)

✠C_x = ( ( C₀) ( π/ e )^x ) * ((x − 8)/(24))      (Eqn. C)

Those equations look intimidating, but they really are not. I have spent many months trying to make it simpler, but it was beyond me.

Then let the computer do the work. If you want to run the FORTRAN codes for the particular values of Quark, neutrino, etc., the link to download files is here /no viruses or malware/ with complete instructions on how to run it.

https://www.luxdeluce.com/271-109-fortran-source-code-calculation-of-the-theta-angles-i-e-mixing-oscillation-angles-of-quark-neutrino-boson-and-graviton.html

The next part will be very simple again, it will be just the scan with two particular values for each particle and then adding the results together to obtain mixing /oscillation/ angles and vectors of magnetic moment and other things as well.