During 1903-04 the eﬀect on the motion of a single particle due

to its self-ﬁeld was studied by both Abraham and Lorentz. They

modelled the isolated electron as a charged spherical surface of ﬁnite radius and found inconsistencies with classical electromagnetic

theory as the radius approached zero. In 2005 the self-ﬁelds of

pairs of particles were ﬁnally understood as a mutual phenomenon. The singularity problem at the charge points was solved by using

motions that avoid the charge points, assuming that at equilibrium

the two particles rotate never residing at their own centres of

rotation. The self-ﬁeld theory model1 for the electromagnetic

ﬁeld as a cyclic stream of photons provides an analysis of the

hydrogen atom and yields a derivation of Planck’s number . The bi-

spinorial function for each particle provides a physically plausible

interpretation of relativity. The “beads on a string” stream-like

electromagnetic ﬁeld modiﬁes the macroscopic time-invariant ﬁeld

laws of Coulomb and Ampere at the atomic level. The E-and

H-ﬁelds must be measured between centres of rotation rather

than between charge points and applied as a coupled complete

electromagnetic ﬁeld. The atomic self-ﬁeld motions are obtained

using the Maxwell-Lorentz (ML) equations. Quantum theory can be

reinterpreted to include the coupled bi-spinorial ﬁeld to yield the

same deterministic closed form eigensolutions as self-ﬁeld theory.

Space-time orthogonality shows the complete self-ﬁeld theory outer

shell electronic structure to be analytic. Self-ﬁeld theory allows

reinterpretation of theweak and strong nuclear forces via amodiﬁed

system of ML equations.