  Seeing the many examples in the literature of causality violations based on
faster-than- light (FTL) signals one naturally thinks that FTL motion leads
inevitably to the possibility of time travel. We show that this logical
inference is invalid by demonstrating a model, based on (3+1)-dimensional
Minkowski spacetime, in which FTL motion is permitted (in every direction
without any limitation on speed) yet which does not admit time travel.
Moreover, the Principle of Relativity is true in this model in the sense that
all observers are equivalent. In short, FTL motion does not imply time travel
after all.
