Most of the games (and a lot of the fiction) I've seen that discuss superluminal velocities at all tend to put it in terms of _____ distance per _____ time interval. Unless you throw that out entirely, that suggests to me that someone, somewhere, sees that travel as taking place over a given amount of time. However, that doesn't mean everyone does. Taking as an example a drive that allows travel at 1ly/day, either:
A. "Hyperspace" acts just like normal space except for your speed. The problem with this is that it requires you to have a means to still interact with normal space.
B. "Hyperspace" and normal space do not and cannot interact on any level, as your velocity puts an event horizon between you and all normal space.
If "A", then presumably everyone, on the ship or not, considers a 30ly trip to take 30 days, you arrive 30 days older, no weirdness other than the fact that you're able to travel faster than light in the first place.
If "B", then either:
1. You nip out of normal space on a 30ly trip at 1ly/day. You don't exist in normal space for the next 30 days, and come out at your exit point 30 days older. For that 30 days, your ship was effectively a Klein bottle, it had no outside. This can be good, as it gives you down time for training, recovery, etc. before you re-enter normal space. This can be bad, you can't shove the alien queen out the airlock because the ship has no outside for another 30 days.
2. You nip out of normal space on a 30ly trip at 1ly/day. You reappear instantly at your exit point, 30 days older. See advantages and disadvantages of the ship as Klein bottle, above.
3. You nip out of normal space on a 30ly trip at 1ly/day. You've never been in hyperspace before, and you're nervous. As the jump comes up, you gasp and say, "Jesus, Ma--"
and vanish.
30 days later you appear at the exit point and say, "--ry and Joseph." A camera in the interior of the ship would record a single frame during that 30 days.
