Generalized Equations of Motion. I. The Equivalence Principle and Non‐RIEMANNian Space‐Times

It is shown that no generalization of the affinity introduced in the D IRAC equation may change the geodesic motion of pole particles. One cannot deduce the lemma of R ICCI or absence of torsion by the mere fact that this yields in the case of the affinity to be used in the dynamical equation.