从扩大变换群统一场论。守恒坐标变换和局部标架变换的协变导数
Unified Field Theory From Enlarged Transformation Group. The Covariant Derivative for Conservative Coordinate Transformations and Local Frame Transformations
摘要：
潘德雷斯发展了一个理论，其中一个真实四维时空的几何结构是由一个真实的正交四元组来表达的，而这个群的同形性被一个更大的群所取代，这个群被称为守恒群。本文扩展了Pandres理论的几何基础，提出了一个适当的协变导数，它在所有局部Lorentz变换（包括复洛伦兹变换和保守变换）下都是协变的。在定义了这种扩展的协变导数后，导出了一个合适的拉格朗日量及其场方程。正如潘德雷斯的理论一样，这些场方程导致了一个应力-能量张量，其中的项可以自动代表电弱场。最后，将该理论推广到2-旋量和4-旋量。
英文摘要：
Pandres has developed a theory in which the geometrical structure of a real four-dimensional space-time is expressed by a real orthonormal tetrad, and the group of diffeomorphisms is replaced by a larger group called the conservation group. This paper extends the geometrical foundation for Pandres' theory by developing an appropriate covariant derivative which is covariant under all local Lorentz (frame) transformations, including complex Lorentz transformations, as well as conservative transformations. After defining this extended covariant derivative, an appropriate Lagrangian and its resulting field equations are derived. As in Pandres' theory, these field equations result in a stress-energy tensor that has terms which may automatically represent the electroweak field. Finally, the theory is extended to include 2-spinors and 4-spinors.
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