Radiationless Bohr Orbits with advanced potentials 1924

Before Dirac on radiation reaction in the 1930's and Wheeler and Feynman in 1940 there was:

Phys. Rev. 24, 296–305 (1924)
Advanced Potentials and their Application to Atomic Models
Abstract
References
Citing Articles (12)

Leigh Page
Sloane Laboratory, Yale University
Received 19 May 1924; published in the issue dated September 1924

"Generalized emission theory of electromagnetic fields assuming advanced as well as retarded potentials.—In order to reconcile electromagnetic theory with radiationless orbits, Nordstrom suggested the possibility of the fields of electrons being half retarded and half advanced, instead of being wholly retarded as usually assumed. On the emission theory this would mean that each electron is the focus of converging streams of moving elements which pass through it undeflected. Simple one-way series for the simultaneous potentials and intensities due to such a point charge are developed, and it is shown that all damping terms disappear and that the electron is capable of describing a radiationless orbit of the Bohr type, while the mass reaction is the same as for the customary retarded field. The radiation emitted during a full period vanishes, since the converging waves which constitute the advanced portion of the field bring the electron as much energy as it loses by the emission of diverging retarded waves. Nevertheless fluctuations of energy would take place during each period, and the converging and diverging waves should combine to form standing waves. The absence of any evidence for such waves constitutes a serious objection to the theory."

However, note the objection in the final sentence.