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Unknowns comments on Harry Potter and the Methods of Rationality discussion thread, February 2015, chapter 113 - Less Wrong Discussion
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(Edited to remove less interesting solutions)
Harry can tell Voldemort that Harry's death has an unknown chance of hijacking Voldemort's horcrux network, and neither of them have enough information to push that probability below 5%. As far as I can tell, that's simply true. We know that Voldemort hasn't done any tests of the improved horcrux spell until now, and has been mistaken before about its working. The Voldemort described in this chapter would not accept a 5% risk on this particular plan, so he will carry out some experimental tests before killing Harry. That seems to allow Harry to evade immediate death, which is what Eliezer asked for.
Harry's death burst will very likely interact with Voldemort's magic anyway, like the wards Voldemort placed around the spot, or the dark marks on minions' hands. That changes the whole plan. Now Voldemort must get himself and the minions far away at the moment of Harry's death, and also lift the wards. That buys some time as well, and is compatible with the previous idea.
Voldemort has just taught Harry how to un-transfigure stuff wandlessly. If Harry's glasses are some sort of transfigured distraction that could be used to buy a couple seconds, Harry could use it, and immediately fire Flitwick's swerving hex. I'm pretty sure Voldemort doesn't know about that one, can't dodge because the hex was fast enough to drop Moody, and can't shield because that would count as magic touching. (Moreover, even if Voldemort dodges, the hex might still touch his wards around the graveyard, so maybe Harry can just fire in a random direction.) That could be one way to cause a resonance cascade, what happens next is anyone's guess.
ETA: I just posted a more fleshed out solution on /r/hpmor. It's very likely that it can be improved even further.
Did you post on fanfiction? I agree mentioning the possibility of entering Voldemort's Horcrux network is a valid solution, neither of them can prove this won't happen and Voldemort was surprised in the first place by the fact that the Map identified both of them as Tom Riddle. The Horcrux network might do the same thiing.
I would go further with this one.
Teacher, what iss your esstimate of probability that Unbreakable Vow continuess to bind wizard who diess and iss reborn through another'ss horcruxess?
In this story, there is no magic death penalty for breaking an Unbreakable Vow, because the vows are literally unbreakable. Harry would cease having to be Harry Potter in order to break the vow, and maybe not even that would work.
I have looked through ever mention of unbreakable vows in the fic and not found anywhere where this is made explicit enough for much confidence.
Of course it's possible that in-universe everyone knows that Unbreakable Vows survive death -- but it's far from obvious because surviving death is really rare. (And presumably no one has yet survived death using a Horcrux 2.0.)
I don't think "It was not a vow he could break even by sacrificing his life in the process" means what I think you may think it does.
(I think it means something like "Harry can't, and won't, say 'Oh, screw it, I'll destroy the world' at the price of dying. He simply, will not make any choice that in his judgement risks destroying the world". Note that this leaves entirely open the question of whether anything could release him from this constraint. Of course the word "Unbreakable" in the name is something of a giveaway; but I am not aware of anything in either canon or HPMOR that rules out the possibility that such a vow is somehow tied to the vower's brain, or ceases to exist on their death for some other reason.)
Yeah, I posted the first idea on fanfiction.