Natural geometric unit system and electron magnetic moment anomaly

 

Natural geometric unit system and electron magnetic moment anomaly

Abstract. –  Consequences of implementation of the natural geometric unit system (the SG) based on the pre-2019 SI system, in which four fundamental physical constants undergo joint numerical and dimensional normalization to unity c = G =  k = h = 1, with only one base geometric unit u equal to √|h · G/c3| m, where the Newtonian gravitational constant G ≈ 6.673 655 205 · 10-11 m3/(kg · s2), are further explored. In addition to the earlier hypothesized simple electron mass to charge ratio formula me = e/(29πα), and formulas for stable quarks rest masses: quark u mu =  √(⅔) / (27π √(πα)) u, equivalent of 2.360 MeV/c2 and quark d md = √(⅓)-1 / (27π √(πα)) u, equivalent of 5.007 MeV/c2, a simple formula for electron magnetic moment anomaly is proposed α/2π - (α/2π)2 - 28(α/2π)3 -  212(α/2π)4 - 216(α/2π)5 - 224(α/2π)6 ≈ 0.001 159 652 180. The finding supports the research area of purely geometric modelling of the fundamental physical forces and their unification. It seems plausible, that in the SG, with use of half integer powers of 2, 3, π and α only, all the fundamental properties of stable matter and electromagnetic radiation could be described.

The author is grateful to his brother Grzegorz for sharing his intuitive insight into reality.

In the r1 (revision 1) to the article made on the 2021-01-31 the following change was made:

The last sentence before Conclusions on page 4

was;

"The value (2) is purely theoretical, assuming no external influence whatsoever on free electron, while the CODATA 2018 recommended value is based on the most precise scientific measurements, but performed on Earth, under not fully understood influence of the planet itself and its surrounding masses and spacetime irregularities as well as external electromagnetic fields on the experimental results."

is: "But the CODATA 2018 recommended value for electron magnetic moment anomaly agrees with the experimental data only when the magnetic constant value recommended by CODATA 2018 is applied, that is the value 1.000 000 000 55 higher than the value of 4·pi/10^7 kg·m/c^2 used to define the SG; so after adequate correction of the CODATA 2018 value to match the experimentally found value, the value (2) matches both of them within the allowed margin of error."