标题： 广义相对论中时空洛伦兹度规结构的出现 显示英文标题

标题： On the emergence of the Lorentzian metric structure of space-time in general relativity

摘要： 在本简短注释中，我们认为，即使有时指出的那样，洛伦兹流形并不能正确地模拟时空连续体的结构，但洛伦兹流形应该能描述我们所经历的宏观结构。 更准确地说，理论上受到冯·魏茨泽克的时间相对频率概率解释的启发，并将戴康尼斯-莫斯特勒原则（也称为真正大数定律）作为宏观世界中的经验证据，我们认为大量物理事件以两种根本不同的模式组合出现，这里称为进程和样本，这使得不可避免地要在流形上使用洛伦兹型度量来描述充满物质的时空连续体的宏观区域。 显示英文摘要

摘要： In this short note we argue that, even if, as sometimes remarked, a Lorentzian manifold does not model correctly the structure of the spatio-temporal continuum as it is, yet a Lorentzian manifold should describe its macroscopic structure as we experience it. More precisely, theoretically motivated by von Weizs\"acker's chronological relative frequency interpretation of probability, and taking the Diaconis--Mosteller principle (also called the law of truly large numbers) as an empirical evidence in the macroscopic world, we argue that large collections of physical events appear in a composition of two fundamentally different patterns, termed as a progression and a sample here, making it unavoidable to use a Lorentzian-type metric on a manifold to describe matter-filled macroscopic regions of the spatio-temporal continuum.