Analytic α-Expressions for the proton charge radius, the proton to electron mass ratio and the elementary particles Wirkungsquantum

Emmanuel Saucedo-Flores

Abstract

New expressions in terms of the proton charge radius are derived for the Sommerfeld or fine-structure constant, the proton to electron mass ratio and the Wirkungsquantum for both elementary particles. An ad hoc, small uncertainty numeric value for the proton charge radius was derived based on the currently accepted, high uncertainty value for which a small correction factor was found to be required during the derivation of the sought expressions. A quasi-exact match to the Planck constant quantum of action h was used as criteria to heuristically fine tune the numerical value of the proposed “new” proton charge radius. Definitions of the electron Wirkungsquantum and the proton Wirkungs quantum are disclosed.