This reminded me of a physics theory in which all electrons are actually the same electron, going back and forth in time: https://en.m.wikipedia.org/wiki/One-electron_universe
"why are all electrons fundamentally the same"?
"because they're all the same electron."
(edit: oops, didn't realize I just quoted the wiki article until after I opened it)
This would result in a loop that is disconnected from any other electrons, showing that the electron/positron in the loop is distinct from other electrons.