Jaqen H'gar: What's His Story?

Crackpot: Could I interest anyone else in the idea that Jaqen H'gar may in fact actually be Rhaegar Targaryan? I read a theory about this on the W and it kinda made sense. Most of it was based on parallels to other works of fiction, but I did have a few in universe connections that built on the idea. For instance, if Rhaegar came to believe that he was tPtwP or more likely, felt that one of his children were, wouldn't he more than likely do everything he could to survive, including giving up the political life of crown Prince? Might not he see fulfilling this role or being around to help his child/children of the utmost importance? It is already rumored that BR received training in glamours from the Faceless Men, so that provides a link between the Targaryans and the FM. It was already established that Rhaegar was in contact with Maester Aemon at the wall. Might it be possible that BR was also a part of the loop? Jaqen shows a fair amount of interest in Arya. Considering she supposedly looks so much like Lyanna would this really be surprising if he were Rhaegar? Now he's possibility at the Citadel, speculated to be searching for a book on dragon lore. Interesting pass-time for a Targaryan, huh? Also, not too bad of a parallel if Lyanna is still existing somewhere below the ground hooked up to weirwood life support. They are both there, ready to guide tPtwP, assisting them to fulfill their duties... I think that at the very least it helps to explain Jaqen's unusual connection to Arya.  Any takers???