  It is shown by numerical simulation that classical charged tachyons have
self-orbiting helical solutions in a narrow neighborhood of certain discrete
values for the velocity when the electromagnetic interaction is described by
Feynman-Wheeler electrodynamics. The force rapidly oscillates between
attractive and repulsive as a function of velocity in this neighborhood. Causal
electrodynamics is also considered, and in this case it is found that when the
force is attractive the tachyon loses energy to radiation. Only certain narrow
ranges of velocity give attractive forces, and a geometrical derivation of
these special velocities is given. Possible implications of these results for
hidden variable theories of quantum mechanics are conjectured.

Quantum Physics