On proton charge radius definition

We find a relation for the proton charge radius in closed form. The result 0.841235641(10) fm agrees with determinations from muonic hydrogen. Our relation is based on a mapping from an intrinsic configuration space for the proton to the observed size in laboratory experiments. The torus of the configuration space leads to periodic potentials in dynamical toroidal angles with the proton charge radius as a scale parameter in the mapping to laboratory space. The periodic potentials allow the introduction of Bloch phase factors which open for period doublings in the wave function. The opening of Bloch degrees of freedom is mediated by the Higgs mechanism. Thus, we find that pi times the proton charge radius equals twice the proton Compton wavelength. Copyright (C) EPLA, 2019