Nornagest comments on Harry Potter and the Methods of Rationality discussion thread, February 2015, chapter 112 - Less Wrong Discussion
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Comments (287)
Don't think that'd work. Horcruces, or at least the 1.0 kind, seem to be related to ghosts: Quirrell mentions redirecting a 'death-pulse' to create the caster's ghost instead of the victim's. We don't have a clear idea of how that works, but since Muggles don't leave ghosts, I think it's reasonable to assume that whatever the spell's doing, it needs a magical victim to do it.
We see Voldemort making a Horcrux out of a Muggle in canon, but I don't think we've seen it here.
In canon he used the murder of his muggle father to make the Gaunt ring (which is inset with the Resurrection Stone) a horcrux, the murder of a muggel tramp to make Slytherin’s locket into a horcrux, and the murder of an Albanian peasant to make Ravenclaw’s diadem a horcrux.
But you’re right, this makes it seem unlikely that a Muggle victim would work. (Damn, these small differences between canon and HPMoR can really confuse me …)
On the other hand, it seems possible to use up a part of one’s magic/life force to create a witch or wizard (cf. Hermione), which could then be killed to create a horcrux. So while these horcruxes aren’t free to make, at least they are not a zero-sum game, either.