The paper proposes two sets of equations -- one based on an invariant set of "frame transitions", the other based on a "frame transition" with the invariance limitation removed. The authors suspect that if faster than light travel is possible, that the physical behavior of the faster-than-light travelling object is described by one of these equations.
I hear you. But any equation is highly suspect if it does not have repeatable experimental evidence to back it up.
I'll follow this story with interest, but also with great skepticism. My money is still on Big Al (Einstein, that is).