Franz Kahn's ideas on pulsar magnetospheres are exposed. Charged particle m
otion close and beyond the speed of light cylinder might explain hard gamma
-ray radiation, and creates current density distributions producing radio f
requency superluminal beaming, and shaping the structure of the magnetosphe
ric electromagnetic field. A quasi-classical (stochastic) description of mo
tion, related with the incoherent nature of gamma-ray radiation, replaces t
he classical (deterministic) description. Future studies involve vacuum ele
ctrodynamics.