I have come to the conclusion that keeping the ultimate Source of Magic an unknown (for the scope of HPMoR) was probably a premise taken by EY early on. Otherwise we would have seen much more experiments to discover it (and more foreshadowing). That many (me included) have been waiting for it patiently is probably more a sign of our wishful thinking and neglect of evidence to the contrary than an oversight by EY.
ADDED: I wonder whether there is such a thing as negative foreshadowing, i.e. indications the some information will not be revealed later. Could be a smart literary device to reduce disappointment in these cases. Can one make reader go "Aha, Harry's quote about the difficulty of experimets fits nicely to Hermiones final remark that their schedule will take six years when taking outside view estimates into account"...
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Sure, the problems with the physics are right in there with bothersome things that Harry says that you could still justify, starting with the non sequiturs about conservation of energy when McGonogall turns into a cat.
I disagree with su3su2u1 (the tumblr author) about levitation; that doesn't violate conservation of energy if it's mediated by a force, and why shouldn't it be? On the other hand, turning into a cat violates conservation of mass (or would appear to, and that should be easy to check with a bathroom scale), which (via E = mc²) translates into a huge energy violation. But bringing up the quantum Hamiltonian? FTL signalling? Su3su2u1's analysis is correct.
The justification for this is that Harry is 11 and has only a vague idea about how physics actually works. But then it's hard to tell what we should learn from Harry and what we should ignore. (For that matter, I don't even know if Eliezer knows better than Harry or not.)
Lifting someone does work. Where is that energy coming from?