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 α,
  • the electron magnetic moment anomaly ae,
  • and the muon magnetic moment anomaly aμ,

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

The key ideas are:

  1. The values of α, ae, and aμ are all of order 10-3, which allows them to be treated together using a universal transcendental function.
  2. A small correction factor CFα must be introduced to obtain an exact transcendental relation.
  3. Experimental data from 2023–2024 (especially Fermilab’s measurement of aμ) are shown to be more consistent with the theory than some 2026 data.
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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

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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

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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

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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

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