In 1966, the Stevens Institute of Technology (SIT) plasma focus group demonstrated experimentally that the current sheath of the plasma focus is carried by pairs of plasma vortex filaments, which exhibit a force-free, Beltrami-type morphology. Experiments at SIT in 1980 and at the Air Force Weapons Laboratory (AFWL) show that relativistic electron beams traveling through a background gas of ∼1 Torr, and even in a “vacuum” diode, exhibit the same type of filamentary morphology, but on a spatial dimension scale, which extends down to the 1-µm region. Some of the experimental evidence accumulated in work at AFWL from 1979 to 1981, which supports the statement that there is a close similarity between current-carrying morphologies of the plasma focus and the relativistic beam machines, is presented.