RolfAndreassen comments on Harry Potter and the Methods of Rationality discussion thread - Less Wrong
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Read up to Chapter 21, commenting on chapter 2. Prediction about the physics of HP:MR.
Harry is mistaken about McGonagall's transformation into a cat breaking conservation of energy; indeed, it seems to me that he is not really putting a lot of effort into finding an alternative explanation, but jumping straight to "Everything I thought I knew was wrong". (Perhaps Lord Kelvin's not the only one who gets a charge out of not knowing something; after all Harry has been wanting to do Something Big, and the more laws of physics are broken, the better!) A simple hypothesis which does not break conservation of energy: Rather than McGonagall's human body literally turning into a cat, it is replaced by a cat-body from elsewhere in the universe. McGonagall's human brain continues to operate in its usual fashion (while being physically elsewhere), and this is turned into cat-brain commands by an AI somewhere in the interface. No mass (hence no energy) appears or disappears, there's just an exchange of objects.
In fact, come to think of it, wasn't there an experiment recently with remote-controlled rats, using plain Muggle science and electrodes in their brains? Extrapolate that forward fifty years and add those direct-to-brain conputer interfaces, and we could do something rather similar, given lots of training to get the feedback right. "When I think like this the rat goes that way..." An Animagus might learn this almost as a child learns to control its body.