A curiosity concerning angular momentum

Abstract
We show that for classical, relativistic particles (or systems of noninteracting particles) one can interpret the intrinsic (or spin) angular momentum as arising from a center of mass world line displaced from the real Minkowski space into complex Minkowski space. This interpretation is then connected with the Penrose theory of twistors. It is further shown that if the complex center of charge coincides with the complex center of mass, the resulting particle has the Dirac value of the gyromagnetic ratio, i.e., (e/mc). For massless particles, there is no unique complex line about which the angular momentum vanishes‐instead, there is a complex 2‐surface, which can be considered to be a Penrose twistor.

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