In order to take full account of spin in general relativity, it is necessary to consider space-time as a metric space with torsion, as was shown elsewhere. We treat a Dirac particle in such a space. The generalized Dirac equation turns out to be of a Heisenberg-Pauli type. The nonlinear terms induced by torsion express a universal spin-spin interaction of range zero.
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Hehl et al. (1971) studied this question.
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