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Why does an electron have a negative charge?

I know that we could just have easily said that electron charge was positive, and proton charge was negative, and it's just an arbitrary naming convention, but that doesn't explain the fundamental fact of why an electron has a charge in the first place. Now, correct me if I'm wrong, but an electron is a point particle, or point-like particle, and so it's charge can't be explained in terms of any more basic structural fact about it...is "charge" itself just a term invented to describe the behavior of electrons around other particles, and likewise for those particles themselves?

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