标题： Pap几何中广义路径偏差方程的量子性质 显示英文标题

标题： Quantum Properties of a General Path Deviation Equation in the Pap-Geometry

摘要： 在参数化的绝对平行几何（PAP）中推导出一条路径偏离方程。 该方程包含曲率和挠率项。 发现这些项自然地被量子化了。 该方程表示从作者先前工作中在PAP几何中推导出的一般路径方程的偏离。 结果表明，随着挠率对偏离的影响增加，曲率的影响减小。 还表明，如果PAP几何变成黎曼几何，则一般路径偏离方程可以简化为测地线偏离方程。 该方程可用于研究自旋基本粒子轨迹的偏离。 显示英文摘要

摘要： A path deviation equation in the Parameterized Absolute Parallelism (PAP) geometry is derived. This equation includes curvature and torsion terms. These terms are found to be naturally quantized. The equation represents the deviation from a general path equation, in the PAP-geometry, derived by the author in a previous work. It is shown that, as the effect of the torsion, on the deviation, increases, the effect of the curvature decreases. It is also shown that the general path deviation equation can be reduced to the geodesic deviation equation if PAP-geometry becomes Riemannian. The equation can be used to study the deviation from the trajectories of spinning elementary particles.