4000. 14. Thoughts About Coupling Constants (Gravity, Strong, Electromagnetic, Weak) and Cosmological Constant.

 

16 September 2026

The Feast of Saint Cornelius (253 AD); Saint Cyprian (258 AD); Saint Euphemia (4^th Century AD); Saint Lucy (4^th Century AD); Saint Geminianus (4^th Century AD)

18 September 2026

Saint Joseph of Cupertino (1663 AD)

3 October 2026

Saint Therese of Lisieux (1897 AD); Saint Gerard of Brogne (959 AD)

 

This article is dedicated to Saint Michael the Archangel, Prince of the Heavenly Hosts, and Prince of the Church

 

Let us calculate the geometric average of the three different coupling Constants of the Strong Force.

Quantum Number -2.5, the coupling constant equals the modulus (Absolute Value) of a complex number:

K_-2.5 = 1.05668277851316149202132629062673     

K_-0.5 = 1.05466375189812580781334222996549    

K_1.0  = 1.06577431599957125052065769401775   

The geometric average is

K_{strong force} = ( K_-2.5 * K_-0.5 * K_1.0  )^1/3 = 1.18774688291^1/3 = 1.05902927712

Why three components? There may be more to protons, neutrons, quarks, neutrinos, and bosons. It gives an elegant result, which may be the only answer given the present state of knowledge (or rather lack of knowledge).

Here is the formula:

( K_{strong force} ) * K_1.0  * (1 / K_-2.5 ) * ( C₀ )^5.0 = 1.00037382272

Where C₀ = 0.986976350384…

If that result is in UTF (Universal Transcendental Function), then

1.00037382272 = (π / e)^x

Then exponent x equals (taking logarithms on both sides of the equation)

X = LN 1.00037382272 / LN (π / e) = 2.58241664114x10^-3 ≈ 0.0

If different factors are taken into account, the result is not close x = 0.0 and, first of all, the exponent of C0 is fractional.

 

Let us calculate the exponents of all five coupling constants, i.e., weak, electromagnetic, strong, and gravity constant using UTF (Universal Transcendental Function).

Weak force coupling constant:

alfa_weak = K₁₇ =   4.365962559108351494028565130570172E-0007 = (π / e)^x

Taking the logarithm on both sides, we obtain the exponent x

 

X = LN (  4.365962559108351494028565130570172E-0007 ) / LN (π / e)

 

X= -101.183365706…

 

Electromagnetic force coupling constant:

 

Alfa_{electromagnetic} = K₁₆ = ( 137.03599918172722…)^-1. = (π / e)^x

 

Taking logarithms of both sides, we obtain exponent x:

 

X = LN ( 137.03599918172722…)^-1/ LN (π / e) = -33.996044633…

 

Now, alfa strong:

Alfa_strong = K_{geometric average} = ( K_-2.5 * K_-0.5 * K_1.0  )^1/3 = 1.05902927712 = (π / e)^x

 

And

 

X = LN = 1.05902927712) / LN (π / e) = 0.39627414826… ≈ 0.0

 

Alfa Gravity:

 

Alfa_gravity = K_-35 = 3.598784604179557982406320351239691E-0040 = (π / e)^x

 

X = LN ( 3.598784604179557982406320351239691E-0040 ) / LN (π / e) = -627.533194048

 

Relations between coupling constants.

 

It is easy to see that

 

Alfa_weak  / alfa_{electromagnetic}  = -101.183365706… / -33.996044633… =    2.97632759335

Alfa_weak  ≈ 3 x alfa_{electromagnetic}

 

In-between the weak and electromagnetic coupling constant exponents and on the other side gravity coupling constant exponents is located strong force coupling constant exponent equal to approximately zero.

 

Now, let us calculate the ratios of the coupling constants and their exponents x, from UTF (Universal Transcendental Function). The results show an order as well, pointing to ‘intelligent design’, i.e. Infinite Mind of the Holy Trinity beyond the design of the Universe.

 

Ratios of coupling constants.

 

Alfa_w / alfa_s  = 4.12260798963x10^-7 = (π / e)^x

X = -101.579639854

 

Alfa_w / alfa_e = 5.98294041678x10^-5 = (π / e)^x

X = -67.1873210726

 

Alfa_e / alfa_s = 6.89060512464x10^-3  = (π / e)^x

X = -34.3923187812

 

Ratio of the exponents x for weak, electromagnetic, and strong constants

 

( Alfa_w / alfa_e ) / ( Alfa_e / alfa_s ) = -67.1873210726 / -34.3923187812 = 1.95355601057 ≈ 2.0

( Alfa_w / alfa_s  ) / ( Alfa_e / alfa_s ) = -101.579639854 / -34.3923187812 = 2.95355601058 ≈ 3.0

 

( Alfa_w / alfa_s  ) - ( Alfa_w / alfa_e ) = -101.579639854 – ( -67.1873210726 ) = -34.3923187812

( Alfa_w / alfa_e ) - ( Alfa_e / alfa_s ) = -67.1873210726 – ( -34.3923187812 ) = -32.7950022914

 

Ratios of the exponents of the gravity, weak, electromagnetic, and strong coupling constants

 

Alfa_g  / alfa_s = 3.39819179869x10^-40 = (π / e)^x

X = -627.929468196

 

Alfa_g  / alfa_e  = 4.93163044073x10^-38 = (π / e)^x

X = -593.537149415

 

Alfa_g  / alfa_w = 8.24282038185x10^-34   = (π / e)^x

X = -526.349828342

 

( Alfa_g  / alfa_s ) - ( Alfa_g  / alfa_e  ) = -627.929468196 - ( -593.537149415 ) = -34.3923187812

( Alfa_g  / alfa_s ) - ( Alfa_g  / alfa_w ) = -627.929468196 - ( -526.349828342 ) = -101.579639854

( Alfa_g  / alfa_e  ) - ( Alfa_g  / alfa_w ) = -593.537149415 - ( -526.349828342 ) = -67.1873210726

 

( Alfa_g  / alfa_e  ) - ( Alfa_g  / alfa_w ) = Alfa_w / alfa_e = -67.1873210726

( Alfa_g  / alfa_s ) - ( Alfa_g  / alfa_w ) = Alfa_w / alfa_s  = -101.579639854

( Alfa_g  / alfa_s ) - ( Alfa_g  / alfa_e  ) = Alfa_e / alfa_s = -34.3923187812

 

 

Second of all, here is the output of the Quad Precision (33 decimal digits precision) FORTRAN Code with those five constants mentioned in the title (Strong Force Coupling Constant consists of three components, as will be shown later, so altogether we have seven or with geometric average eight Quantum Numbers). Thus, we would have four main forces plus four secondary forces (two – variations of strong force, cosmological plus one to be discovered yet). Saint Hildegard von Bingen describes in her paintings such a structure of eight forces. For now, I list in the attached files the values of all coupling constants. In the next two- to three series of articles, I will explain how it all works, in terms of Transcendental Mathematics, Geometry, and Number Theory (Prime Numbers). The four main constants are electromagnetic, weak, strong, and gravity, and then four secondary ones: two strong, cosmological, and space-time coupling constants. In the attached files, we have the values of the constants computed in FORTRAN QUAD Precision with (28-31 decimal digits) and Python 200 decimal digits precision. In the next series of articles, we will describe in detail all related issues. Thank you for your patience! (It takes a considerable amount of time to calculate and understand the problems).