We argue that any superluminal theory T is empirically equivalent to a nonsuperluminal theory T∗, with the following constraints on T∗: T∗ preserves the spacetime intervals between events as entailed by T , T∗ is naturalistic (as long as T is), and all the events which have causes according to T also have causes according to T∗. Tim Maudlin (1996) defines standard interpretations of quantum mechanics as interpretations ‘according to which there was a unique set of outcomes in Aspect’s laboratory, which outcomes occurred at spacelike separation’, and Maudlin claims that standard interpretations must be non-local in the sense that there are superluminal influences. We show (even assuming Aspect’s experiment is ideal) that Maudlin’s claim is false.