1  I've actually been meaning to email you about this, but work kept cropping up.  Want to see something interesting?  Read the engrish at 6:58, when Aoi's profile is onscreen. 

2

I just noticed that today. In the BD version it's large enough so you can puzzle out nearly everything.

There's a scene where the Doggie woman is getting briefed on the situation relating to Eris, including getting dossiers on the humans who are dealing with her. This is from DIA, the US  Defense Intelligence Agency, who are apparently in bed with her (figuratively speaking). She's been on Earth long enough to have built up quite the list of contacts, and she's buying cooperation from them by doling out advanced technology. Anyway, it was Jack from the CIA who captured Eris in ep 2, but she gave Eris to the DIA, and they were the ones wearing the isolation suits, one of whom told Eris she was going to die.

Back to this, one of the people the Doggie gets briefed on is Aoi. In the full-sized version, you can read it if you really struggle. The thing that he refers to is the "Family" section:

Mother: Dead
Father: kidnapped and missing years ago.
        Confirmed remarried to Garblian (alien from planet Garble).

and the "Comment" section:

Step mother (Garblian): She looks to be in her later twenties.
Half sister: She is physical and mentally older than Aoi caused by the Urashima effect in subspace.

The "Urashima effect" is how the Japanese refer to what we English speakers know as "Fitzgerald Contraction", at least as it applies to time contraction.

Anyway, it makes me wonder whether Aoi's father is human. If not, and if Aoi is actually half alien, that might explain how she got that strange ability.

Regardless, this is obviously a throw-away which likely lays groundwork for some future story in the book series, which may or may not have gotten used by this point.

3

Another thing: If the step sister was born later, but is now older, then it means that Aoi has spent enough time moving at relativistic speeds to have lost a lot of time. That would necessarily have happened after she ceased living with her father, and wouldn't have happened to him. Makes me wonder where she went, and who took her there, and why she doesn't remember any of it.

4 I honestly don't mind nudity in anime, but it generally annoys me when it's just nudity for the sake of nudity. Like when they change the entire angle to include breasts - I don't see the need for that.

5 That just means you haven't joined the Dark Side... yet.