Title: The Geometro-Hydrodynamical Representation of the Torsion Field Show Chinese title

Title: 几何-流体力学的挠率场表示

Abstract: We construct the geometro-hydrodynamical formalism for a spinning particle based on the six-dimensional manifold of autoparallelism geometry which is represented as a vector bundle with a base formed by the manifold of the translational coordinates and a fibre specified at each point by the field of an orthogonal coordinate frame underlying the classical spin. We show that the geometry of oriented points leads to the existence of torsion field with the source - the classical spin. We expand the geometro-hydrodynamical representation of Pauli field developed by Takabayasi and Vigier. We show that the external torsion field has a force effect on the velocity and spin fields via the spin-vorticity, which is characteristic of the space structure with the inhomogene triad field. The possible experimental effects of torsion field are discussed. Show Chinese abstract

Abstract: 我们基于自平行几何的六维流形构建了自旋粒子的几何流体力学形式化方法，该流形被表示为一个向量丛，其基由平移坐标流形形成，在每一点的纤维由经典的自旋所依赖的经典正交坐标框架场指定。 我们表明，有向点的几何学导致了具有经典自旋为源的挠率场的存在。 我们扩展了高桥与维吉尔发展的泡利场的几何流体力学表示。 我们表明，外部挠率场通过自旋涡度对速度和自旋场产生力效应，这是具有非均匀三联体场的空间结构的特征。 讨论了可能的挠率场实验效应。