  Using the language of the Geometric Algebra, we recast the massless Dirac
bispinor as a set of Lorentz scalar, bivector, and pseudoscalar fields that
obey a generalized form of Maxwell's equations of electromagnetism. The
spinor's unusual 4-pi rotation symmetry is seen to be a mathematical artifact
of the projection of these fields onto an abstract vector space, and not a
physical property of the dynamical fields themselves. We also find a deeper
understanding of the spin angular momentum and other Dirac field bilinears in
terms of these fields and their corresponding analogues in classical
electromagnetism.
