In Autodynamics, one possibility for obtaining superluminic speed is by using photons. Photons travel at the speed of light (a conflict for SR). If photon interaction at light velocity (laser beams – or energy absorbed by photons) could be integrated into a new particle, that particle should decay into a new super-photon traveling at superluminic speed.
Superluminic velocity is not problematic for Autodynamics. The theory has no frames in relative motion: only “phenomenon” and “observer.” To shift from one observer to another, the velocity transformation equation is used (velocity sum) that maintains energy and momentum conservation.
See Carezani’s explanation about a recent Faster-than-Light experiment involving Cesium.
Autodynamics theoretically lifts the light speed barrier. It is up to the experimental researchers to make it reality.