Step 1: Researchers announce that they have surpassed the speed of light!
Step 2 (some months later): Researchers find a flaw in their experiment. Speed of light not surpassed after all.
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.