How did Skyler Base miss Winfall's disappearance? Part 1

One of the puzzles of Rome's Revolution, was how the Vuduri, with all their scientific prowess, packed up their starbase at Dara too soon. After all, the only reason they sent Rome and the research crew out to Tabit and built the starbase was that they wanted to outrun the light waves emitted when Winfall disappeared. They built solar-system sized instruments so they could observe the event. Well, it’s all about time. Unfortunately, none of the Vuduri ever thought to test the effect of faster-than-light travel on the "current time" of the observer. Rei spotted this right away. When he mentioned this to OMCOM, OMCOM did not believe him. Here’s how the exchange went:

     Rei thought about this for a moment. “How do you know your clocks are right?” Rei asked.
      “What do you mean?”
      “The whole FTL thing bothers me. As you approach the speed of light, time is supposed to slow down. It has something to do with acceleration because it isn’t symmetrical. When you go through the PPT tunnel, you are accelerating, like, infinitely fast. That should cause clocks to go, I don’t know, backwards?”
      “Our clocks do not go backwards,” OMCOM replied. “That would violate local causality. You would ‘forget’ why you were there. No, this is something that we would have noticed by now. Our clocks, they do not change.”
      “Well, sure because everything is traveling together, but relative to the clocks you left behind or the ones you are approaching, shouldn’t there be some implications?” Rei chewed on his cheek then continued. “Isn’t there a chance that time is absolute, relative to one position? So if you go faster than light, faster than time, your clocks won’t jive with where you are or where you came from or where you’re going, something?”
     OMCOM did not answer right away.
      “OMCOM?”
      “If you were correct,” OMCOM finally answered, “then you would have the classic twin paradox. When this group of people returned to Earth, their clocks would be off by a measurable amount.”
      “It’s all relative. Maybe when you jump toward a clock faster than light, time goes backward versus that clock. Maybe when you jump away from one, time speeds up. You wouldn’t notice because you are traveling with your clocks. I don’t know. This isn’t my area of expertise.”
      “Such an effect has never been postulated or measured.”
      “How would you measure it? And how does that make it not true? Really, OMCOM,” Rei chided, “don’t you think that traveling faster than light has to have some impact on the flow of time?”

Tomorrow, we will see Commander Ursay’s reaction to Rei’s ideas and the definitive experiment to prove Rei’s theory one way or another.