Abstract
A connection is established between the classical and wave mechanics of a spinning relativistic particle. In the case of a plane wave comprising both positive and negative energies, the 4-dimensional stream-lines of the current density 4-vector coincide with the world-lines of a classical particle. Moreover, the wave function represents the spinor (or quaternion) which determines the generalized intrinsic frame of reference attached to the world-line of the classical particle. This provides a geometrical interpretation for the unquantized Dirac field as well as for the total angular momentum.
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