Abstract
Spinor fields are introduced into Riemannian space-time in a new way. This approach admits a simple geometrical interpretation of spinor fields. A linear connection for space-time is derived which describes both gravitational and nongravitational forces. It is consistent with a straightforward generalization of the Dirac equation. This theory also entails a physical interpretation of inertial coordinates. The spin and current vectors of a spinor field are not in general orthogonal. This lack of orthogonality provides an absolute measure of one component of the gravitational field as seen in an inertial system.

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