  A derivation of pilot waves from electrodynamic self-interactions is
presented. For this purpose, we abandon the current paradigm that describes
electrodynamic bodies as point masses. Beginning with the Li\'enard-Wiechert
potentials, and assuming that inertia has an electromagnetic origin, the
equation of motion of a nonlinear time-delayed oscillator is obtained. We
analyze the response of the uniform motion of the electromagnetic charged
extended particle to small perturbations, showing that very violent
oscillations are unleashed as a result. The frequency of these oscillations is
intimately related to the zitterbewegung frequency appearing in Dirac's
relativistic wave equation. Finally, we compute the self-energy of the
particle. Apart from the rest and the kinetic energy, we uncover a new
contribution presenting the same fundamental physical constants that appear in
the quantum potential.
