Does he get taken to a hospital? No, he gets sent to the Fringe lab, where Walter is leading a cow around the room, and the EMTs are all, "The fuck?" until Peter sends them on their way.
So Walter's examining the unconscious Jones, saying, "This is happening faster than I would have thought," he says, and explains to Peter that this man teleported through space, with his molecules disintegrating and reintegrating and all that, and Peter's less worried about that and more worried about stabilizing the guy who may be their only chance to save all those people from the bomb.
Peter goes into Olivia's office, where she's getting off the phone with Charlie. She tells Peter that cortexiphan was a drug patented but never approved. "Patented to whom?" asks Charlie. The only game in town: Massive Dynamic. Oh, OK, I guess it HAS been a few episodes. She's heading over to Massive Dynamic now, but she's concerned that Jones is still expecting her to pass the test. "You think we can trick him?" she says. Peter asks her if she wants him to open the light box. "You could see what you could do," she says, scrunching up her face in a way that I think was supposed to be cute.
So over in New York City, Olivia thanks Nina for seeing her, and says she's looking for information on cortexiphan, and Nina's sitting at a desk that's completely bare except for this little grey translucent tablet in the shape of Alberta, and she picks it up and starts tapping it, and it glows a little blue and makes sounds, like how obnoxious is it when people just take out their translucent Alberta-shaped tablets and just start texting? Nina grimaces because her "hand's been acting up." Olivia smiles instead of saying, "Yeah, we're all super impressed by your robot arm." Anyway, Nina's found the information on the drug: developed in 1981 by a Dr. Bell who theorized that we're all born with limitless potential, but every force we encounter -- physical, intellectual, social -- begins the "limitation" process. The drug was tested on children -- after extensive animal testing to make sure it would be harmless -- but it was unsuccessful, and Dr. Bell gave up his research a couple of years later.
Olivia asks where the trials were done. Ohio State University, Worcester campus, Nina tells her, and asks why, and Olivia just smirks and says no reason. However, driving later in her car, she gleefully tells Peter that in 1981 she was three years old and living in Jacksonville, Florida, where her father was stationed at the naval base, so there was no way she was given that drug. Except of course if it turns out that her family visited, or it turns out there WAS another test somewhere. Because we all know she was given the drug. Peter tells her everything's going swimmingly at the lab: it looks like Walter's going to be able to revive Jones, and Peter's managed to reprogram the light box, so they should be able to fool him. Again: he's crazy. Not stupid.