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dxu comments on [FINAL CHAPTER] Harry Potter and the Methods of Rationality discussion thread, March 2015, chapter 122 - Less Wrong Discussion
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Probably nothing, but it would require a series of improbable coincidences (every atom in future!Harry needs to be in the same position that past!Harry saw it in), significantly complicating the loop. Such complications would make it simpler for the loop to not happen at all, and so it probably wouldn't. A precommitment to interact with your future self as little as possible would then maximize the probability that the loop occurs in the first place.
So what do you think McGonagall meant by disconcerting?
I'm not actually sure. "It's weird to see yourself", possibly? Though, in a world with stuff like Polyjuice Potion, I don't know how rare that sort of thing would actually be...
I'm guessing something vaguely along the lines of the "do not mess with time" warning. Except I can't imagine it specifically, how that might possibly go in the case of someone who's doing what Minerva says not to do.