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/c 3 | m, where the Newtonian gravitational constant G ≈ 6.673 655 205 · 10 -11 m3/(kg · s 2 ), are further explored. In addition to the earlier hypothesized simple electron mass to charge ratio formula me = e/(2 9πα), and formulas for stable quarks rest masses: quark u mu = √(⅔) / (2 7π √(πα)) u, equivalent of 2.360 MeV/c 2 and quark d md = √(⅓) -1 / (2 7π √(πα)) u, equivalent of 5.007 MeV/c 2 , a simple formula for electron magnetic moment anomaly is proposed α/2π - (α/2π) 2 - 2 8 (α/2π) 3 - 2 12 (α/2π) 4 - 2 16 (α/2π) 5 - 2 24 (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
Enhanced Derivation of the Electron Magnetic Moment Anomaly from the Electron Charge using Geometric Principles
