It is assumed that the mediating mass of an atom of charge Z represents the induced generalized proton state for the ultra fast dark matter medium . Consequently Z strings of magnetic flux using the substitution transformations of Sakharov’s law, should explain the improbable physics of Coulomb induction. Used as a model for the electron is the toroidal magnetic geometry as an equivalent for the electrostatic energy as the unit charge which is related to the magnetic quantum flux of ϕ = h/ 2e. Through the doughnut hole of the torus the dark matter of the fast medium passes consisting of accelerated pseudo vector components then breaking open this conserved torus geometry into a magnetic solenoid, magnetic flux string, of Z times the λ-wavelength of Lamb’s shift. Since the quantum wavelength is longer than Bohr’s length, under these conditions any strings of magnetic flux can be extended to maximum 21 cm intrinsic to the internal dimensions of the electron. The Hartree potential of the H atom serves as proof, the supposed substitutions are correct.