"Or to make one. The old coot wasn't really clear about that. It's pretty standard for him, to be honest. The problem is, he should have known better. Horcrux creation is a dark, but highly difficult piece of magic to perform. But do you know the one thing, the unmistakably most crucial element needed to perform the rite? A fucking body, Hermione! You need to be able to hold a wand and say words! Old Tom was utterly destroyed in his body. There is literally no way he could have created a Horcrux or separated his soul without it. Senile Dumbledore seemed to ignore this most basic of facts."