So we get a replay of the phone call that Peter gets (gotta get that extra cellphone product placement in) from the woman telling him about the disappearing Olivia from another universe. And then a sleepy Fauxlivia asks him who was on the phone, and he pretends it was a telemarketer, which seems kind of dodgy at midnight, but Fauxlivia just says he should save their number and call back when they're sleeping.
And then Peter lies awake (I presume) for the next couple of hours, and we watch a digital clock change instantly to 2:15, and it would be kind of cool every so often to get the old speeded-up-clock-hands effect that movies and television used to use. I know, it seems cheesy... Anyway, Peter gets up while Olivia sleeps, and skulks around, opening a dresser drawer and inspecting Olivia's stuff -- notepads, files ... he finds a strip of photos of the two of them together, the kind you get taken for a couple of bucks in a booth at the mall. He looks at it for a few moments, and then spies the two Mac laptops on the nearby table, which have identical screensavers running, and he picks hers up, and it's one of those Mac laptops that uses a Windows operating system for some reason.
He starts going through the files -- old Fringe cases -- and tries unsuccessfully to get into a locked file that accepts none of the passwords he attempts. Try "Eric Stoltz in Back to the Future"! And then suddenly Fauxlivia's there, asking him what he's doing up. "Just sending an email," he lies, and she's all, "At 2:15?" and he points out that "it's not 2:15 in Greece," and she doesn't point out that an email is not the same as a phone call, probably because she figures that Peter, not being a moron, should know that. He tells her he has a friend in Corinth. "And like he always says..." and then Peter repeats that Greek phrase that I won't even try to transcribe, the one that Olivia blurted out when she returned from her first trip to the other universe.
Of course, Fauxlivia has no idea what it means, and so then the soundtrack gives us the big bass note of betrayal, but he recovers enough to say, "It means, 'be a better man than your father.'" And then Peter makes up a story about his friend's father. Fauxlivia says she's going back to bed, and Peter says he'll be right there, he's just going to get a glass of water. After she leaves Peter gets up and opens and closes a cupboard just for the sound effect. Then he stealthily goes back into the living room, but her gun that was on the table isn't there anymore. She's got it, and she's pointing it at him.