相互作用的几何统一、五维时空和超对称性

Geometric unifications of interactions,five-dimensional space-time and supersymmetry

首先,在简介几何动力学后,探讨了相互作用的几何统一.其次提出了5维时空及其5种具体情况,其中第5维可以是与h相关的微观特性,或与质量m等相关,并联系于SU(5).进一步讨论了高维统一理论,并指出其中柱形卷曲空间的光速是可变的.以后探索了广义相对论和量子论的统一,非欧和非阿几何的统一.对Riemann几何和Lobachevsky几何进行了比较.最后,讨论对称、反对称和超对称性及其统一.一般的矩阵及相应的各种理论都可以分解为对称和反对称部分之和,并联系于超对称性.

First,the geometrodynamics is introduced briefly,and the geometric unifications of interactions are researched.Next,the five-dimensional space-time and its five specific cases are proposed,in which the fifth dimension may be a micro-characteristic with h,or corresponding a mass and so on,and relate to SU（5）.Further,the higher-dimensional unification theories are discussed,in which a velocity of light in a reel space is variable.Then the unification of general relativity and quantum theory,and the unification of non-Euclidean geometry and non-Archimedes geometry are searched.Riemann geometry and Lobachevsky geometry are compared.Finally,the symmetry,antisymmetry,supersymmetry and their unifications are discussed.The general matrix and various corresponding theories may decompose to a sum of symmetry and antisymmetry,which relates supersymmetry.