论文标题
基本力量及其动力
Fundamental forces and their dynamics
论文作者
论文摘要
在本文中，我们希望提出一个一般原则：\ it {基本力的运动方程或动态方程式不应处方，而应完全由适当时空流形的几何形状驱动，然后将方程式仅通过无需采取行动的几何学而获得的动机来获得。 Riemannian时空流动，没有外部其他任何东西。驱动差异几何特性是Riemann曲率张量满足的Bianchi身份。同样，这可能是纤维时空歧管的主要切线束的几何形状，可能解释了量规矢量场的动力学。它是阿贝尔仪表对称群的经典电力，而非阿布尔对称性则导致非亚伯力量，弱者和强力。我们还将反思基本力量的统一图片，以及它可能会激发的二重性对应。
In this essay, we wish to propose a general principle: \it{the equation of motion or dynamics of a fundamental force should not be prescribed but instead be entirely driven by geometry of the appropriate spacetime manifold, and the equation is then obtained by employing only the geometric property without appeal to an action.} The motivation for this pronouncement comes from the fact that the equation of motion of general relativity follows from the geometry of Riemannian spacetime manifold without appeal to anything else from outside. The driving differential geometric property is the Bianchi identity satisfied by the Riemann curvature tensor. Similarly it is geometry of the principal tangent bundle of fibre spacetime manifold that may account for dynamics of the gauge vector fields. It is the classical electric force for the Abelian gauge symmetry group while the non-Abelian symmetry leads to the non-Abelian forces, the weak and the strong. We shall also reflect on a unified picture of the basic forces, and the duality correspondences it may inspire.
