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atorm comments on Harry Potter and the Methods of Rationality discussion thread, February 2015, chapter 113 - Less Wrong
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Transfiguration requires the caster's wand to touch the target. However, Harry's understanding of partial transfiguration was based on his understanding of the underlying quantum field nature of reality. This means that Harry's wand is touching everything all at once. He should be able to Transfigure anything in the area that he wants, and based on the Azkaban sequence, he could think or speak while doing so.
Make sure you post this in a review, even if it doesn't end up being directly relevant to the solution you post. And mention that this fact should be considered in the judging of everyone else's solutions.