  The two-body problem of variational electrodynamics possesses
differential-delay equations of motion with state-dependent delays of neutral
type and solutions that can have velocity discontinuities on countable sets.
From a periodic orbit possessing some mild properties at breaking points, we
define a synchronization function in R x R3, which is further used to construct
two bounded oscillatory functions vanishing at breaking points and whose first
derivatives are continuous and defined everywhere but at breaking points. The
oscillatory functions are associated with a PDE identity in H2(R3), and we
postulate ordering conditions for the PDE identity to define a
Fredholm-Schroedinger operator with an O(1/r2) spin-orbit forcing term
belonging to L2(R3). As an application, we introduce the Chemical Principle
criterion to select orbits with asymptotically vanishing far-fields and
estimate the Bohr radius parameter of the Fredholm-Schroedinger PDE using the
boundary-layer of orbits chosen according to the Chemical Principle criterion.
Last, working backward, we derive a Chemical Principle-like condition from the
ordering conditions.
