Indeed... but superluminal travel seems to be a fountain of so many illogicalities that I wonder how it could be possible at all. For example, the atoms A and

Indeed... but superluminal travel seems to be a fountain of so many illogicalities that I wonder how it could be possible at all. For example, the atoms A and B would at some point interact with a past C (once catching up to this "wavefront" or whatever you want to call it while travelling). How does this make sense, when the interaction already happened? I think this would mean that the old interactions (C) from the past would be repeated against A and B, but A and B would not be in the same state as earlier (since they were changed by the original C). In any case, this would not be time travel in a "time dimension". For example, if one superluminally "jumped" 1 lightyear and waited 1 year while observing the origin, you'd eventually see yourself "jumping". But still, it would be just looking at past emissions, not actually travelling in time.