You can't use a reference frame moving at c -- it'd be like trying to use a coordinate system where the X and Y axes are parallel to each other. Also, distance

You can't use a reference frame moving at c -- it'd be like trying to use a coordinate system where the X and Y axes are parallel to each other. Also, distance isn't really what locality is about; it's really about the causal sequence of events. If two events are close enough in time and far enough in space that light couldn't get from one to the other (in jargon: they're separated by a spacelike interval), then there'll be some reference frames where one happened before the other, and some where they happened in the opposite order. So if one of the events caused the other, there are reference frames where the cause came after the event. So nonlocality violations imply that effects can come before causes in at least some reference frames. That's why people don't like it.