标题： 建构公理学在时空物理中的应用 第三部分：量子时空的建构公理方法 显示英文标题

标题： Constructive Axiomatics in Spacetime Physics Part III: A Constructive Axiomatic Approach to Quantum Spacetime

摘要： 埃勒斯-皮拉尼-希德（EPS）对广义相对论的构造公理化，发表于1972年，旨在仅从具有无可置疑经验内容的公理出发，构建该理论的运动学结构。因此，它在时空理论的认识论和形而上学方面都具有深远的意义。在本文中，我们考虑基于量子力学输入（第三部分）向量子广义相对论扩展EPS公理化的方法。还有两篇配套论文，其中我们提供了EPS公理化的教学性讲解（第一部分），并讨论了构造性方法在时空结构中的普遍意义（第二部分）。 显示英文摘要

摘要： The Ehlers-Pirani-Schild (EPS) constructive axiomatisation of general relativity, published in 1972, purports to build up the kinematical structure of that theory from only axioms which have indubitable empirical content. It is, therefore, of profound significance both to the epistemology and to the metaphysics of spacetime theories. In this article, we consider extensions of the EPS axiomatisation towards quantum general relativity based upon quantum mechanical inputs (Part III). There are two companion papers, in which we provide a pedagogical walkthrough to the EPS axiomatisation (Part I), and discuss the significance of constructive approaches to spacetime structure more generally (Part II).