[Whew, it seemed to work for the time being. He takes her hand, allowing her to pull him to his feet]

It seems like every other Kaito who was brought here is Kid back on their world. It's one of the few constants you'll notice about this place.

[he brushes himself off, and launches into an explanation, momentarily forgetting about the state of her dress]

The mansion connects to multiple universes, each one different than the last in some way. Somehow, it pulls people from those universes here and refuses to send them back home. I dunno how it works exactly, but... if you're familiar with the whole... parallel universes theory, it's kinda like that.