Calculation of the Exact Value of the Muon Magnetic Moment Anomaly aμ Given α and ae

July 30, 2026
The feast of Saint Peter Chrysologus (450 AD); Saints Abdon and Sennen (303 AD)

July 31, 2026
Saint Ignatius of Loyola (1556 AD)

1 August 2026
7 Holy Machabees (150 BC); Saint Peter in Chains (6th Century AD); Saints Faith, Hope, Charity (2nd Century AD)

This article is dedicated to my lovely daughter Monika Wasilik.


1. Introduction

This article presents a mathematical relation between:

  • the fine structure constant ,
  • the electron magnetic moment anomaly ,
  • and the muon magnetic moment anomaly ,

and uses this relation to calculate an exact theoretical value of the muon magnetic moment anomaly .

The key ideas are:

  1. The values of , , and  are all of order , which allows them to be treated together using a universal transcendental function.
  2. A small correction factor  must be introduced to obtain an exact transcendental relation.
  3. Experimental data from 2023–2024 (especially Fermilab’s measurement of ) are shown to be more consistent with the theory than some 2026 data.

    Write comment (0 Comments)

1 August 2026

7 Holy Machabees (150 BC); Saint Peter in Chains (6th Century AD); Saints Faith, Hope, Charity (2nd Century AD)

Intel FORTRAN code QUAD precision for the ‘best fit’ values – the exact value of the fine structure constant, alfa, electron magnetic moment anomaly from FERMILAB experiments 2023, and adjusted value of muon magnetic moment anomaly /slightly changed FERMILAB results/

 

      PROGRAM PI

     

      IMPLICIT NONE

     

C      COMPLEX*16 RECTANGULAR, RE, IM

      REAL*16 PII, EEE, SSS, FFF, SPIRITUS, FILIUS, PATER

     

      REAL*16 ALFA, AELECTRON, AMUON, ATAU

     

      REAL*16 PART1, PART2, PART3, PART4, CFALFA, CFALFA2

     

      REAL*16 C_16, C_0

Write comment (0 Comments)

1 August 2026

7 Holy Machabees (150 BC); Saint Peter in Chains (6th Century AD); Saints Faith, Hope, Charity (2nd Century AD)

 

 

INTEL FORTRAN CODE OUTPUT; QUAD PRECISION (33+ DIGITS); ALFA CODATA (2022) = 1 / 137.035 999 177 000 000… WITH ADJUSTED MUON ANOMALOUS MAGNETIC DIPOLE MOMENT

 

 

 

...EXACT EXPERIMENTAL VALUE OF ALFA 177 33+ SIGNIFICANT DIGITS.............

 ...ALFA..................   137.035999177 000000000000000000000     

                        0.137035999177 000000000000000000E+03

 ...................................................

 

 ...EXACT EXPERIMENTAL VALUE OF ELECTRON MAGNETIC MOMENT..

 ...AELECTRON................  1.15965218059 0000000000000000000000E-0003

                        0.115965218059 000000000000000000E-02

Write comment (0 Comments)

1 August 2026

7 Holy Machabees (150 BC); Saint Peter in Chains (6th Century AD); Saints Faith, Hope, Charity (2nd Century AD)

 

This is the best fit scenario for exact value of fine structure constant, electron magnetic moment anomaly and adjusted muon value (year 2023-2024).

 

 ...EXACT THEORETICAL VALUE OF ALFA 33 SIGNIFICANT DIGITS....

 ...ALFA.....................   137.035999181 727 215672064191303733     

                   0.137035999181 727 2156720641913037330138780E+03

 ...................................................

 

 ...EXACT EXPERIMENTAL VALUE OF ELECTRON MAGNETIC MOMENT FERMILAB 2023..

 ...AELECTRON................  1.15965218059 0000000000000000000000E-0003

                   0.115965218059 0000000000000000000000064490E-02

Write comment (0 Comments)

1 August 2026

7 Holy Machabees (150 BC); Saint Peter in Chains (6th Century AD); Saints Faith, Hope, Charity (2nd Century AD)

 

 

The exact alpha, experimental electron and adjusted muon anomaly gives exponent x with DOUBLE precision

 

 

 ...EXACT THEORETICAL VALUE OF ALFA 33 SIGNIFICANT DIGITS....

 ...ALFA.....................   137.035999181 727 215672064191303733     

                   0.137035999181 727 2156720641913037330138780E+03

 ...................................................

 

 ...EXACT EXPERIMENTAL VALUE OF ELECTRON MAGNETIC MOMENT..

 ...AELECTRON................  1.15965218062 0000000000000000000000E-0003

                   0.115965218062 0000000000000000000000093220E-02

Write comment (0 Comments)