Abstract:
Recently, it has been shown that Absolute Parallelism (AP) geometry admits
paths that are naturally quantized. These paths have been used to describe the
motion of spinning particles in a background gravitational field. In case of a weak
static gravitational field limits, the paths are applied successfully to interpret the
discrepancy in the motion of thermal neutrons in the Earth’s gravitational field
(COW-experiment). The aim of the present work is to explore the properties of
the deviation equations corresponding to these paths. In the present work the
deviation equations are derived and compared to the geodesic deviation equation of
the Riemannian geometry.
