论文标题

波形理论的几何解释和纺纱场的表现

Geometrical interpretation of the wave-pilot theory and manifestation of the spinor fields

论文作者

Trukhanova, Mariya Iv., Shipov, Gennady

论文摘要

使用T. Takabayashi,J。P. Vigier和追随者开发的量子力学的流体动力学形式,涉及涡流流,我们提出了波 - 杆理论的新几何解释。这种解释中的旋转波代表了一个客观的真实场,由波浪控制的材料粒子的演变是空间几何形状的表现。 We assume this field to have a geometrical nature, basing on the idea that the intrinsic angular momentum, the spin, modifies the geometry of the space, which becomes a manifold, that is represented as a vector bundle with a base formed by the translational coordinates and time, and the fiber of the bundle, specified at each point by the field of an tetrad $e^a_μ$, forms from the bilinear combinations of spinor wave 功能。结果表明,自旋矢量沿扭转的空间的大地旋转旋转,粒子根据几何指导方程移动。这个事实解释了旋转粒子的自我行为。我们表明,旋转矢量线的曲率和扭转取决于绝对平行性几何形状的空间扭转。

Using the hydrodynamical formalism of quantum mechanics for a Schrodinger spinning particle, developed by T. Takabayashi, J. P. Vigier and followers, that involves vortical flows, we propose the new geometrical interpretation of the wave-pilot theory. The spinor wave in this interpretation represents an objectively real field and the evolution of a material particle controlled by the wave is a manifestation of the geometry of space. We assume this field to have a geometrical nature, basing on the idea that the intrinsic angular momentum, the spin, modifies the geometry of the space, which becomes a manifold, that is represented as a vector bundle with a base formed by the translational coordinates and time, and the fiber of the bundle, specified at each point by the field of an tetrad $e^a_μ$, forms from the bilinear combinations of spinor wave function. It was shown, that the spin vector rotates following the geodesic of the space with torsion and the particle moves according to the geometrized guidance equation. This fact explains the self-action of the spinning particle. We show that the curvature and torsion of the spin vector line is determined by the space torsion of the absolute parallelism geometry.

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