论文标题
洛伦兹转化的预概括
A pre-metric generalization of the Lorentz transformation
论文作者
论文摘要
观察者及其相关的休息空间的概念是在与时间+的时间+空间分解相关的前线（即投影几何）上下文中定义的。当两者处于相对运动状态时，从一个观察者到另一个观察者的转换被定义，并讨论了其与Lorentz转换的关系。定义了保留观察者四边形的所有线性变换的组，该组定义了Minkowski空间中正确的时间倍曲底，并描述了对其某些亚组的减少，并将其延伸到保存基本四边形的组，从而延伸了光锥。
The concept of an observer and their associated rest space is defined in a pre-metric (i.e., projective-geometric) context that relates to time+space decompositions of the tangent bundle to space-time. The transformation from one observer to another when the two are in a state of relative motion is then defined, and its relationship to the Lorentz transformation is discussed. The group of all linear transformations that preserve the observer quadric, which generalizes the proper-time hyperboloid in Minkowski space, is defined and the reductions to some of its subgroups are described, as well as its extension to the group that preserves the fundamental quadric, which generalizes the light cone.
