论文标题
一般度量框架中的大地（IN）完整性
Geodesic (in)completeness in general metric frames
论文作者
论文摘要
大地完整性的几何概念取决于度量场或“度量框架”的选择。我们开发了“广义大地完整性”或“时间完整性”的框架不变概念。它基于通过对某些物理允许的过程计数振荡来定义的物理时间的概念。波函数的振荡溶液对具有不同质量的颗粒允许推导广义的大地学和相关的完整性概念。时间完整性涉及粒子物理的各个方面，不再是纯粹的几何概念。
The geometric concept of geodesic completeness depends on the choice of the metric field or "metric frame". We develop a frame-invariant concept of "generalised geodesic completeness" or "time completeness". It is based on the notion of physical time defined by counting oscillations for some physically allowed process. Oscillating solutions of wave functions for particles with varying mass permit the derivation of generalised geodesics and the associated notion of completeness. Time completeness involves aspects of particle physics and is no longer a purely geometric concept.
