论文标题
从观察者的角度来看，芬斯勒的基础
Foundations of Finsler spacetimes from the Observers' Viewpoint
论文作者
论文摘要
重新审视了相对论空间的物理基础，以便检查芬斯勒的空间在框架中。基于惯性观察者（如特殊相对论和经典力学的基础）的参数被证明与空间和时间测量中的双线性近似相对应。尽管删除第一个线性化来出现一般相对性，但Finsler SpaceTimes通过丢弃第二个线性化。经过经典的Ehlers-Pirani-Schild方法是仔细讨论的，并证明与Lorentz-Finsler案件兼容。 通过使用观察者的{\ em空间}讨论Finsler时空的精确数学定义。在某些问题中采取特殊谨慎的态度，例如：洛伦兹 - 芬斯勒度量标准只有在因果方向上才能进行锥体结构的物理测量，这对某些明显无害的可区分性假设的模型的含义，或者对不同光的可能性的可能性。
Physical foundations for relativistic spacetimes are revisited, in order to check at what extent Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the foundations of Special Relativity and Classical Mechanics) are shown to correspond with a double linear approximation in the measurement of space and time. While General Relativity appears by dropping the first linearization, Finsler spacetimes appear by dropping the second one. The classical Ehlers-Pirani-Schild approach is carefully discussed and shown to be compatible with the Lorentz-Finsler case. The precise mathematical definition of Finsler spacetime is discussed by using the {\em space of observers}. Special care is taken in some issues such as: the fact that a Lorentz-Finsler metric would be physically measurable only on the causal directions for a cone structure, the implications for models of spacetimes of some apparently innocuous hypotheses on differentiability, or the possibilities of measurement of a varying speed of light.
