Abstract
The position, momentum, and angular momentum (spin + orbital) of a classical massive magnetic dipole particle are constructed from certain pairs of O(3,3) spinors and a scalar σ. These spinor pairs (and also σ) are endowed with a translation transformation law (which is fundamentally different from that of twistors), and are given the name hyperspinors. An action of the covering group of the Poincaré group is defined on hyperspinors and σ. Equations of motion for these hyperspinors and σ are proposed, special cases of which lead to the Lorentz force law for the momentum and the BMT (Bargmann, Michel, and Telegdi) equation for the Pauli–Lubanski pseudovector. A generalization to include SU(N) internal degrees of freedom in this model is suggested.
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