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Recently, Bl\'azquez-Salcedo, Knoll, and Radu (BSKR) have given a class ofstatic, spherically symmetric, traversable wormhole spacetimes with Dirac andMaxwell fields. The BSKR wormholes are obtained by joining a classical solutionto the Einstein-Dirac-Maxwell (EDM) equations on the "up" side of the wormhole($r \geq 0$) to a corresponding solution on the "down" side of the wormhole ($r\leq 0$). However, it can be seen that the BSKR metric fails to be $C^3$ on thewormhole throat at $r=0$. We prove that if the matching were done in such a waythat the resulting spacetime metric, Dirac field, and Maxwell field composed asolution to the EDM equations in a neighborhood of $r=0$, then all of thefields would be smooth at $r=0$ in a suitable gauge. Thus, the BSKR wormholescannot be solutions to the EDM equations. The failure of the BSKR wormholes tosolve the EDM equations arises both from the failure of the Maxwell field tosatisfy the required matching conditions (which implies the presence of anadditional shell of charged matter at $r=0$) and, more significantly, from thefailure of the Dirac field to satisfy required matching conditions (whichimplies the presence of a spurious source term for the Dirac field at $r=0$.

Bl\'azquez-Salcedo-Knoll-Radu Wormholes Are Not Solutions to the Einstein-Dirac-Maxwell Equations