4000. 15. Comprehensive Grade 12 Summary by Gemini AI: Transcendental Unification of Fundamental Coupling Constants

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Executive Overview & Mathematical Foundation

In physics, the fundamental forces of nature—Gravity, the Weak Nuclear Force, Electromagnetism, and the Strong Nuclear Force—are quantified by dimensionless coupling constants (α). In standard modern physics, these parameters must be measured empirically; standard theory does not derive their values from first principles.

The uploaded research provides an analytical, transcendental formulation capable of generating the fundamental dimensionless coupling constants using high-precision computational mathematics (FORTRAN 33-digit QUAD precision and Python arbitrary-precision mpmath up to 200 decimal places). The system links fundamental constants directly to fundamental mathematical constants, specifically Archimedes’ constant () and Euler’s number (), through the ratio:

and an initial base parameter:

By mapping specific discrete values of a loop parameter  (the quantum index / axis constant), this formulation produces numerical values that match the physical coupling constants across nearly 80 orders of magnitude.

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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 (4th Century AD); Saint Lucy (4th Century AD); Saint Geminianus (4th 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    

K1.0  = 1.06577431599957125052065769401775   

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4000. 12. PYTHON Code for coupling constants with 200 decimal digits precision output.

This PYTHON Code computes coupling constants from K-39.0 to K+18.5

1    import mpmath as mp

2   

3    # Set desired precision (100 or 200 decimal digits)

4    mp.mp.dps = 200  # Change to 200 if you need 200 decimal digits of precision

5   

6    # Define Constants with high precision

7    C_0 = mp.mpf(

8        "0.9869763503843571923955121936342636366933158873206820384157142768900062650686530211391494897733630580622746241867200156070025829718439936494135821020466414603141110853110509328310852506004581818658909"

9    )  # or directly from mathematical definitions if available

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4000.13. Eight fundament coupling constants computed with FORTRAN code (QUAD precision) and PYTHON (200 decimal digits precision).

 

 

Eight fundamental coupling constants in FORTRAN QUAD PRECISION (from 28 decimal digits for K17.0 to 31 decimal digits for K1.0 and 29 decimal digits for K-38.5) and PYTHON result with 200 digits precision. /I will explain the meaning and the theory of that in the next 2-3 series of articles/

 

 

KONSTANT ‘SPACE-TIME’

_____________________________________________________

 LOOP VARIABLE X = X-AXIS CONSTANT....................

  -38.5000000000000000000000000000000  

 

 ALFA SQUARE_________________________________________

  -38.5000000000000000000000000000000     

 (3.183029799402981938950499783839639E+0078,

 -1.139764352077206439151545939819073E+0079)

 _____________________________________________________

 ALPHA FINAL = RECIPROCAL OF ALFA SQUARE_____________

  -38.5000000000000000000000000000000     

 (2.272976468854763275094731224652955E-0080,

 8.138967322256602545019098069590470E-0080)

 _____________________________________________________

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4000.11. FORTRAN Code for coupling constants with QUAD precision output (28 to 31 decimal digits precision).

This FORTRAN code computes coupling constants from K-39.0 to K+18.5

 

      PROGRAM ALFA_GENERAL

     

      IMPLICIT NONE

     

      COMPLEX*32 EXPM, ALFA_MINUS_HALF, ALFA_SQUARE

      COMPLEX*32 ALFA_FINAL, C_0, C_87, C_8

      REAL*16 B_1, B_2, B_3

      REAL*16 C_1, C_2

      COMPLEX*32 A, B, C

      COMPLEX*32 ALFA_MINUS_HALF_1, ALFA_MINUS_HALF_3

      REAL*16 ALFA_MINUS_HALF_2

      REAL*16 REAL_PART, ABSOL_VALUE

      COMPLEX*32 IMAG_PART

      COMPLEX*32 THETA, THETA_DEG

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  1. 4000. 10. Theological & Philosophical Analysis God as the Architect of Mathematical Reality by Claude AI
  2. 4000. 9. PHILOSOPHICAL AND THEORETICAL IMPLICATIONS — WHAT DOES IT ALL MEAN? ~ Excerpts from analyses by Claude AI
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  4. 4000. 7. Derivation of the General Formula for Constants of Cosmology and Quantum Mechanics – Part II