22 July 2026

Feast of Saint Mary Magdalene (1st Century AD)

 

3020. 3. FORTRAN Code to calculate Transcendental Constants from π down to the constant number -366; QUAD PRECISION

     

program transcendental_DOWN

!        Program transcendentalconstants III

      implicit none

!      integer, parameter :: QR_KL = selected_real_kind (32)

!      real (kind=QR_K) :: pi_VAL

!      integer, parameter :: QR_K = selected_real_kind (32)

!      real (kind=QR_K) :: e_VAL

!      integer, parameter :: QR_K = selected_real_kind (32)

!      real (kind=QR_K) :: rHS

!      integer, parameter :: QR_K = selected_real_kind (32)

!      real (kind=QR_K) :: rHSi

      REAL*16 rHS,rHSi,pi_VAL,e_VAL,HS,HT,HTF,HTS

      REAL*16 InverseTransCnstnext

      REAL*16 TransCnstnext

      REAL*16 y, counter

      integer*8 i

Written by Andrew Joseph Yanthar-Wasilik

Category: Blog

Published: 23 July 2026

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22 July 2026

Feast of Saint Mary Magdalene (1st century AD)

 

3020. 1. FORTRAN Code to calculate Transcendental Constants from π up to the constant number 366; QUAD PRECISION     

 

program transcendental_II_UP

!      Program transcendentalconstants II

      IMPLICIT NONE

      REAL*16 rHS,rHSi,pi_VAL,e_VAL,HS,HT,HTF,HTS

      REAL*16 InverseTransCnstnext

      REAL*16 TransCnstnext

      REAL*16 y, counter

      integer*8 i

Written by Andrew Joseph Yanthar-Wasilik

Category: Blog

Published: 23 July 2026

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22 July 2026

Feast of Saint Mary Magdalene (1st Century AD)

 

3020. 2. OUTPUT OF THE INTEL FORTRAN CODE; QUAD PRECISION: 'TRANSCENDENTAL CONSTANTS UP'; 366 TRANSCENDENTAL CONSTANTS; STARTING WITH π

 

 

 VALUE OF PI     =

    0.31415926535897932384626433832795027974790680981373E+01

 

 VALUE OF E      =

    0.27182818284590452353602874713526623143584218671935E+01

 

 VALUE OF PI / E =

    0.11557273497909217179100931833126962730089421974651E+01

 

 VALUE OF e / pi  =

    0.86525597943226508721777478964608958358643306646676E+00

Written by Andrew Joseph Yanthar-Wasilik

Category: Blog

Published: 23 July 2026

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11 July 2026

The Feast of Saint Benedict (543 AD); Saint Pius I (167 AD)

 

3010. 1. Calculation of the Exact Value of the Fine Structure Constant, Alpha (α), Using Universal Transcendental Function (UTF)

 

Author: Andrew Joseph Yanthar-Wasilik
Source: https://luxdeluce.com
Date of Analysis: 2017-2026
Analytical Framework: Theoretical Physics, Dimensional Analysis, Transcendental Mathematics

EXECUTIVE SUMMARY (20 Bullet Points)

1. Fundamental Discovery: The fine structure constant (α ≈ 1/137.036) is calculated using a Universal Transcendental Function (UTF) framework, claiming exact (not approximate) theoretical derivation rather than empirical measurement.
2. Mathematical Innovation: The work employs two fundamental transcendental constants (C₀ and C₁₆) combined with classical mathematical constants (π, e) to establish a deterministic formula for calculating α.
3. Precision Achievement: Results achieve 30+ significant digits of accuracy (α⁻¹ = 137.035999181727215672064191303733...), surpassing previous CODATA (2022) and Nagoya University (2012) measurements.
4. Multi-Stage Calculation Protocol: The derivation employs a four-step hierarchical computational process involving exponential functions, transcendental constants, and recursive mathematical operations.
5. Dimensionless Constant Framework: By treating α as dimensionless, the author applies UTF principles to demonstrate that fundamental constants emerge from mathematical necessity rather than arbitrary physical parameters.
6. Computational Verification: Results validated through multiple FORTRAN implementations (Double Precision, Intel Quad Precision, Eclipse FORTRAN) from 2017 with claimed agreement with 2026 literature.
7. Error Analysis: Relative error compared to Nagoya University (2012): ε = 5.638749727 × 10⁻¹¹ (<<1 ppb accuracy), demonstrating exceptional theoretical-experimental concordance.
8. Generalized Function Structure: The UTF approach provides a scalable framework for calculating additional coupling constants beyond α, specifically mentioning weak force coupling constants.
9. Theoretical Implications: The work suggests fundamental constants may be mathematically determined through transcendental function relationships rather than empirically discovered quantities.
10. Cosmological-Quantum Bridge: The methodology bridges cosmological and quantum mechanical constants through unified mathematical framework, addressing long-standing theoretical gaps.
11. Methodological Rigor: Three-part theoretical derivation (Parts I, II, III) supports the main calculation with comprehensive mathematical foundations and graphical analysis.
12. Simplified Formula Achievement: Reduction from multi-component equations to single unified formula (Equation 333) demonstrates mathematical elegance and conceptual depth.
13. Transcendental Function Universality: The claimed universality of UTF suggests applicability across multiple domains of fundamental physics and cosmology.
14. Constants C₀ and C₁₆ as Fundamental: These transcendental constants emerge as potentially more fundamental than α itself, suggesting deeper structural principles.
15. Dimensionless Quantity Approach: The methodology suggests all dimensionless quantities in physics may emerge from similar transcendental function relationships.
16. Comparison with Experimental Standards: Direct alignment with CODATA standards and university-level precision measurements validates computational methodology.
17. Historical Perspective: Builds upon classical mathematical constants (π ≈ 3.14159, e ≈ 2.71828) as foundational elements of physical reality.
18. Scalability of Framework: The generalized formula allows extension to weak interaction coupling constant (αw) and potentially other coupling constants.
19. Quantum-Classical Interface: The work suggests a mathematical interface between quantum mechanical phenomena (α) and cosmological scale structures.
20. Paradigm Shift Implications: If validated, represents fundamental reconceptualization of how physical constants emerge from mathematical necessity rather than empirical happenstance.

    Written by Andrew Joseph Yanthar-Wasilik

    Category: Blog

    Published: 12 July 2026

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