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I believe PJ did gain a memory of his real life, though, no? (I was going to elaborate in this comment, but I don't know how to do a spoiler in comments)
@Radhil - thanks; I was trying to suss out the gaps between what was happening in real life vs what was happening during the virtual reality: it's a remarkable story, so I'd like to reconcile the time differences even if it doesn't amount to anything to anyone else.
@Danny3414 - I don't know the Harry Potter stories. The White Witch is later explained as Jadis from a 'third' world, called "Charn," with an interesting story in The Magician's Nephew. So you might not call her human, but she has been around since the dawn of Narnia and is definitely neither form our world nor from Narnia. She is responsible for the Lantern and many allegorical hints in the overall story.
@RDFozz - oh I agree that we will never know what happened in the background from what we have leftover of Lewis' personal writings. We do know in LWW that it was a mild but not wholly unexpected surprise to the Witch to stumble upon a boy. PC was written very shortly after LWW, so I suspect he did not have hesitation with humans being part of Narnia.