粒子几何分类和相对论相互作用程序
A Program for the Geometric Classification of Particles and Relativistic Interactions
摘要：
利用联络的动力学完整群对新几何统一理论中的几何相对论相互作用进行了分类。如果框架激发代表粒子，则可以赋予这些相互作用物理意义。这些激发具有代数和拓扑量子数。质子、电子和中微子可能与三个动力学完整子群的框架激发有关。特别地，质子激发具有亚激发三重态的双重数学结构。强子、轻子和引力相互作用对应于相同的子群。背景几何确定非平凡的纤维束的激发生活，引入拓扑量子数分类家庭的激发。正如巴鲁特所建议的那样，从这三种粒子中，也就是唯一稳定的粒子中，有可能构建出其余的粒子。三个基本激发的组合显示SU（3）xSU（2）xU（1）对称性。
英文摘要：
Geometric relativistc interactions in a new geometric unified theory are classified using the dynamic holonomy groups of the connection. Physical meaning may be given to these interactions if the frame excitations represent particles. These excitations have algebraic and topological quantum numbers. The proton, electron and neutrino may be associated to the frame excitations of the three dynamical holonomy subgroups. In particular, the proton excitation has a dual mathematical structure of a triplet of subexcitations. Hadronic, leptonic and gravitational interactions correspond to the same subgroups. The background geometry determines non trivial fiber bundles where excitations live, introducing topological quantum numbers that classify families of excitations. From these three particles, the only stable ones, it may be possible, as suggested by Barut, to build the rest of the particles. The combinations of the three fundamental excitations display SU(3)xSU(2)xU(1) symmetries.
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