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cwillu 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.
I think the "it's bigger on the inside" phenomenon is a better foundation to build such a spell on.
Ah yes! You can store the whole human body in a cavity of the cat's body, and vice-versa; lightspeed is no issue - indeed you could run the whole thing at ordinary neural speed. This might even solve the problem of how to order a cat's body around; the Animagus in effect has a cat as an ordinary part of her body, and has learned to operate it the same way she learned to operate her human body.
One problem is the carrying-over of wounds from the animal to the human body, and vice-versa; this does not seem implied by the model, and requires additional explanation. Psycho-somatic damage? Since there a requirement for conscious control of which shape one is in, the opportunities for unconscious failure seem strong.