If I'm ever being chased by a person from like hundreds of years ago, I'm so running into an office building and taking an elevator. That dude would be so confused about where I went. He'd be like, "Where did he go? I followed him into this room, and he must have gone into one of those doors. But I cannot open them." And then when the elevator comes back then he'd be really confused. "Now the door has magically opened and there is no one inside. What dark magic is this?".
Oh, and he's probably a little confused about being transported through time too.