具有芬斯勒风格的AP结构:路径方程
An AP-Structure with Finslerian Flavor: Path Equations
摘要:
导出路径的Bazanski方法适用于Finsler几何。该方法是广义的,并适用于一个新开发的几何称为“绝对平行与芬斯勒风味”(FAP)。推导了FAP的路径方程。这是水平(h)集。这个集合有一个显著的特点,即挠率项的系数从一个方程跳到另一个方程,跳的步长为二分之一。这很容易让人相信h-集具有某些量子特征。与其他几何形状中的相应集的比较。条件,以减少所获得的路径方程组,众所周知的路径方程在某些几何形状中总结在一个示意图。
英文摘要:
The Bazanski approach for deriving paths is applied to Finsler geometry. The approach is generalized and applied to a new developed geometry called "Absolute parallelism with a Finslerian Flavor" (FAP). A sets of path equations is derived for the FAP. This is the horizontal (h) set. A striking feature appears in this set, that is: the coefficient of torsion term, in the set, jumps by a step of one-half from one equation to the other. This is tempting to believe that the h-set admits some quantum features. Comparisons with the corresponding sets in other geometries are given. Conditions to reduce the set of path equations obtained, to well known path equations in some geometries are summarized in a schematic diagram.
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