Jon decided that the best way to find the stone--or this reality's version of the stone--was to try to contact the version of himself that existed in this reality.
Karyn had mentioned Joan. At that point, Jon had already slowed down a lot, so things were probably pretty much the same here. So in this reality, he was Joan. He would have to contact Joan.
Jon tried to dial his own cell phone number. All he got was a busy signal. Then he tried his home phone number....