  Using a geometry wider than Riemannian one, the parameterized absolute
parallelism (PAP-) geometry, we derived a new curve containing two parameters.
In the context of the geometrization philosophy, this new curve can be used as
a trajectory of charged spinning test particle in any unified field theory
constructed in the PAP-space. We show that imposing certain conditions on the
two parameters, the new curve can be reduced to a geodesic curve giving the
motion of a scalar test particle or/and a modified geodesic giving the motion
of neutral spinning test particle in gravitational field. The new method used
for derivation, the Bazanki method, shows a new feature in the new curve
equation. This feature is that the equation contains the electromagnetic
potential term together with the Lorentz term. We show the importance of this
feature in physical applications.
