标题： 自旋粒子在引力场中的运动 显示英文标题

标题： Motion of Spinning Particles in Gravitational Fields

摘要： 在绝对平行性（AP）几何中推导出一个新的路径方程。 该方程是对先前工作中推导出的三个路径方程的推广。 它可以看作是一个由扭转项修正的测地线方程，其数值系数以半步跳跃。 使用精细结构常数对扭转项进行参数化。 建议新方程可能描述了在引力场影响下自旋粒子的轨迹，而扭转项代表了运动粒子的量子自旋与背景场之间的一种相互作用。 新路径方程的弱场极限表明，自旋粒子感受到的引力势与无自旋粒子（或宏观物体）感受到的引力势不同。 作为副产品，并为了推导新的路径方程，使用一种保持度规性的新仿射联络重构了AP空间。 新的AP结构具有非零曲率。 在某些极限情况下，新的AP结构可以简化为普通的黎曼空间，或者传统的AP空间。 显示英文摘要

摘要： A new path equation in absolute parallelism (AP) geometry is derived. The equation is a generalization of three path equations derived in a previous work. It can be considered as a geodesic equation modified by a torsion term, whose numerical coefficient jumps by steps of one half. The torsion term is parametrized using the fine structure constant. It is suggested that the new equation may describe the trajectories of spinning particles under the influence of a gravitational field, and the torsion term represents a type of interaction between the quantum spin of the moving particle and the background field. Weak field limits of the new path equation show that the gravitational potential felt by a spinning particle is different from that felt by a spinless particle (or a macroscopic body). As a byproduct, and in order to derive the new path equation, the AP-space is reconstructed using a new affine connexion preserving metricity. The new AP-structure has non-vanishing curvature. In certain limits, the new AP-structure can be reduced either to the ordinary Riemannian space, or to the conventional AP-space.