Charge Equality, Repriced

The equality of the proton and electron charges is one of the most precisely tested facts in physics — and one of the least explained. The Standard Model does not predict it. It accommodates it: anomaly cancellation forces the charges to balance within each generation, but the mechanism that sets the balance is never stated, and the balance itself is taken as a given. This paper reprices that given. It treats charge equality not as a constraint to be satisfied but as a price to be paid, and asks what the price buys. The argument proceeds in two moves. First, it surveys the mechanisms that have been proposed to explain the equality — grand unification, charge quantization from magnetic monopoles, anomaly cancellation as a consistency condition — and shows that each one either assumes the equality in its premises, by building the charge assignments into the gauge group, or leaves the equality unexplained, by deriving a consistency condition that the observed charges happen to satisfy without saying why they must. Second, it exhibits the one mechanism that does not assume what it explains: a pairing structure in which the proton and electron charges are equal not because a symmetry forces them but because the counting that produces them counts pairs, and a pair has, by construction, equal and opposite members. The verdict is precise about its scope: the pairing explains the equality of the magnitudes; it does not explain the existence of the pairs, and it does not predict the number of generations. What it does is move the unexplained residue from the equality itself to the pairing structure — and the paper is exact about what that move costs and what it buys. No number in the program changes.