Thanks for the clarification! The story I was taught (up to and including a graduate course on relativistic quantum chemistry!) is "delocalized point particle", i.e. it's a point but of course for quantum mechanical reasons it's effectively in many places at once, at least until you collapse the wave function.

Are you talking about the quantum delocalization? And if yes, presumably an isolated electron (since in an atom the shape of the quantum distribution will depend on orbitals?

Sorry if I'm completely off base here -- I'm a mathematical who took some chemistry, but without any particle physics background.