论文标题
特殊相对论的局部有效性，第1部分：几何形状
The Local Validity of Special Relativity, Part 1: Geometry
论文作者
论文摘要
在这两部分的论文中，我们区分了几种感觉，其中一般相对论被认为是“本地特殊的相对论”。在这里，在第1部分中，我们专注于相对论时期的感官，据说是“本地（大约）Minkowskian”。在批评文献中的几个建议之后，我们提出了一种结果，捕捉了一种实质性的意义，其中每个相对论时期在本地大约是Minkowskian。然后，我们证明Minkowski时空在此结果中没有区分：每个相对论时空在本地大约在其他所有时空上都是相同意义上的。在第2部分中，我们将考虑“本地特别是相对论”的问题理论。
In this two-part essay, we distinguish several senses in which general relativity has been regarded as "locally special relativistic". Here, in Part 1, we focus on senses in which a relativistic spacetime has been said to be "locally (approximately) Minkowskian". After critiquing several proposals in the literature, we present a result capturing a substantive sense in which every relativistic spacetime is locally approximately Minkowskian. We then show that Minkowski spacetime is not distinguished in this result: every relativistic spacetime is locally approximately every other spacetime in the same sense. In Part 2, we will consider "locally specially relativistic" matter theories.
