Spinor electrodynamics as a dynamics of currents

Spinor electrodynamics, consisting of the minimally coupled Dirac and Maxwell equations, is shown to be equivalent to sixteen equations for sixteen currents $J^0$, $J^a$, $L^{\mathrm{}\left[\mathrm{ab}\right]\mathrm{}}$, $K^a$, $K^0$, consisting of one scalar bilinear identity, a vector set of four quintic differential equations of third order, a skew tensor set of six cubic identities, an axial-vector set of four bilinear compatibility relations of first order, and one pseudoscalar bilinear identity. The conservation of the vector current $J^a$ follows from the vector set of equations, and the partial conservation of the axial-vector current $K^a$ follows from the remaining twelve equations. There is an additional independent constraining scalar bilinear identity which ensures that these twelve equations are consistent with conservation of the vector current.