Skip to the bottom for personal context on the following ideas: ALSO I RAN OUT OF ROOM ON THIS POST and the formatting is making my numbers and spacing look doofy.
Part A: Transfiguration bridges
Getting started: Partial transfiguration is the most immediately useful thing besides talking, and as I understand it requires wand contact. Harry transfigures a part of his own finger, on a contacting part of the wand blocked from view, and extends the transfiguration slightly to get access to his blood flow. The blood is transfigured into a channel with a covering of false wood on the back of his wand, held on by an exotic fractal surface maximizing van-der-walls forces (gecko tape). The blood faucet at the end of harry's wand is utilized to transfigure an amount of carbon nanotubes with considerable potential energy stored in hairpin folds. The unzippering of the hairpin folds are the (adiabatic) motive force to fire a relatively heavy lance of multiwalled crosslinked carbon nanotubes stippled in nested nanobuds (small appended buckyballs for friction with external objects and linking between layers) at the ground below voldemort's body. This forms a transfiguration beachhead at a desirable location.
The design of the beachhead: The transfiguration beachhead is first used to prepare harry's nuclear option. First, the beachhead would be anchored by growing a fractal network of bundled nanotubes off of a stiff taproot. A multi faceted disk tip of the taproot, with 3 degree facets stacked two high at slightly different angles, disguised with a matte finish the same color and pattern of the surrounding earth, with a bit of dirt on top, like a roof, forms a shape like the word's most covert pop-up sprinkler head. This is the basis of the transfiguration missile battery. Each facet contains a heavy nanotube lance backed by a hairpin CNT held in tension by nanotube zippers. To be clear, the nanotube zippers are fairly extreme nanotubes with nanobuds on them that interlock with nanobuds at regular intervals on the haripin CNTs. This device is unzipped in waves to minimize noise. It should be noted that this device deploying should make a faint, probably undetectable, hissing noise, as the tiny lances break the sound barrier. Voldemort's true form, however, has no external ears, meaning he can only localize sounds by phase and level difference. As Harry's hissing parselmouth and the firing battery are right below and in front of him, both sound sources exist on the same plane as equidistant to V's ears. Thus, the noise is not localized. Harry can fire his transfiguration volleys while vocalizing something with strong sibilance. (wouldn't it be funny if a parselmouth had a lisp?)
Voldy's turret: A bouquet of CNT zippered lances on top of the battery remain in reserve as an offering to Voldy. Part of the bouquet contains three dozen CNTs aimed at an angle that will not hit Voldy if fired directly at him. The angle should be as tight as possible (I'm not sure how high he's floating, but Harry would) for example, if Voldy is 5 meters up and presents a rough cross section no more than one meter in diameter, plus one third for error, gives a minimum angle of about 8 degrees, though 10 degrees would be OK in case voldy drops a few feet or does a broomstick crabwalk in the air or something. These lances are special in that they should be CNT loaded to go about 50 meters up in this case, or otherwise a good bit higher than voldy currently is. mounting this portion on a flex mounted head (like a pyramid with a CNT connection from the tip to the base of the beachhead) aimed by a set of tensioned CNT guy wires is also pretty key, as it allows harry to re-aim if voldy decides to fly around. Harry has demonstrated the ability to transfigure CNTs into shorter CNTs, even under tension, so this provides an aiming method. (The reason I'm not just having harry lengthen a set of fat CNTs instead of using the zipper hairpin springamabobs is I haven't been able to find enough information on how CNTs do under compression, it's likely someone here will know better to make a workable solution.)
Part B: The Nuclear option (No time shenanigans based survival)
The time it might take to get started: Based on the beach head being a bunch of similar parts of low mass arrayed many times, harry may be able to conceptualize and implement the growth in a matter of seconds. This is based on Harry's practice with the feather, growing out simple similar stages all at once. The springs, zippers, lances, harpoon batteries, facets, lattice structure, etc, are all simple components arranged relative to each other in very few ways. I consider it safe to assume that Harry has a level of concentration right now that makes the battles against the omnicidal AI at the end of Summer Wars look like geriatric speed chess. It might take less than ten seconds, depending on how fast the blood flows down harry's wand to start that initial jump to transfiguring dirt.
Some key calculations: Harry's rate of transfiguration based on one hour to transfigure a unicorn: ~ 8 KG per minute, or 133 grams/second, or 133 billionths of a gram per nanosecond.
Carbon nanotube calcs -
carbon double bond distance: 1.3 A single bond: 1.5A Hybrid Bond: 1.39A
The lattice is hexagonal, h = (√3)s gives the height of a single layer from flat-to-flat (the lengthwise, strong axis for a nanotube) on the hexagon, which is about 2.4A. There's an additional carbon bond to connect to the next carbon (I'm referencing cycloparaphenylene) so 3.6A per ring of six carbons is the length. 3.6A is really just a jerk way of saying .36nm, so multiplying things out to a full meter, gives me just under 2.78*10^9 layers of cycloparaphenylene equivalent carbons, which have 6n carbons, where n decides the aspect ratio. Aspect ratio is kind of arbitrary in this case, but I'm going to go with six, since everything else is a hexagon and that makes nesting really interesting.
So, going back to the beachhead, every facet has redundant pair of harpoons, they're spaced out at 3 degrees apart, they have a massive portion at the end so they have a bit of fling and stick capability, and the tethers are a good ten meters longer than they need to be, with intention to go in an arc over the death eaters and just have the strands drape over their shoulders and extended wand hands. 198 degrees of these things (66 facets) should be enough to sextuple-redundant drape most of the death eaters, with some margin for drift in flight. Additionally, 36 single shots for voldemort himself on the tilting turret. 198+36=234 total nanotubes. Interestingly, while I have the numbers up, thats .4ng per meter if they were all bundled together and totally smooth, but with the nanobuds from the hairpin zipper, I calculate it to be between .405 and .44ng, depending on how many hairpin bends are necessary to really whip everything where it needs to go. (harry might need to experiment with the nanoballistics, that's why there are triple volleys)
energy per kg of mass (E=mc^2) = ~90 petajoules or 22.5 megatons of tnt equivalent
If, using the feather principle and starting from the far tips, harry transfigures the carbon into anticarbon at around the rate that he transfigured that unicorn much earlier in the year, and it reacts with an equal amount of matter, harry will release: 1 kilogram / .4 nanograms = 2.5 trillion (2*90 petajoules) / 2.5 trillion = 72K joules
Now, this is spread across all strands. If we include voldy's turret with all strands fired, that's a little over 150 joules per strand per meter vaporized, which means each death eater has some 900 joules creeping up behind them, and voldy has 5400. Now, there's inverse square at work here, so however far the propagation is away reduces the heat significantly. This is particularly interesting because:
Sum of all Masses Per meter: >.4ng Harry's transfiguration speed: ~.133ng/ns light-nanosecond: 0.3 m
Harry's propagation rate is (hopefully) limited by lightspeed. He might be a smidge slower after that Hermione magic saving incident, but I expect all of the energy is going to arrive at once from the perspective of the death eater's backs, and it's going to involve gamma radiation, delivered by the relativistic antimatter det-cord they're wrapped in six different ways. Everyone, especially voldemort, is going to be riding the skin rocket to the center of the meat Z-pinch, except Harry, who will be very red and flying very backwards. I also expect this would wake Hermione, but I suspect she's just been playing possum this whole time.
__CONTEXT__
Okay, so first time commenter here on LW, and I have a LOT of content that I'd like to append to this top comment, figures I'd like to work out for refinement but I'd rather have more eyes on some of it than really polish all of it and put it out for scrutiny like an hour before the deadline.
I came in a bit late and spent most of yesterday evening piecing together a plan, or more specifically, a net steps in a plan on a whiteboard that resembled something like a CYOA map combined with a very deep and messy solomonoff induction network. It was incomprehensible. Trying to put it down in a comment form for EY to read left me feeling dread, horrible dread, which I ignored as best I could. Also, I wasn't exactly sure if my mess of solution modules was an acceptable way to compensate for imperfect information, or just a rule-breaking. I'm also having trouble re-reading to check for consistency, and I didn't really read the official canon past maybe the third book, and I was in elementary school then.. so know that I'm still making a best effort to do this on my own as per EY's suggestion, I just want to do so transparently so more people better equipped to solve the problem can cannibalize parts of my final solution into some dread machine of winning.
Part C: The Best option
Harry needs to convince Voldy that killing him is a bad move, and will lead to a universe that quirrell will not want to live in medium-term, and no quirrell in the long term. (note: I'm trying not to, but I've caught little bits of people on this page that do amazing snake writing. I'm not going to do that because simple english wikipedia can only take me so far.)
The prophecy has been given as little bits involving stars going out, which I think is a separate prophecy than the one with 'the power that the dark lord knows not'. Take...
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 113.
There is a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
IMPORTANT -- From the end of chapter 113: