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Electrons - What is Waving?

If an electron is a wave, what is waving?

So many answers on the internet say "the probability that a particle will be at a particular location"... so... the electron is a physical manifestation of probability? That doesn't sound right.

This page http://mwolff.tripod.com/see.html seems to suggest that the spherical wave pair is what gives the electron the properties of a particle. I could be misinterpreting, but this answer makes more sense to me - if only I understood what was waving!