2021/12/28 by Niels Linnemann, Linnemann, Niels, James Read +1 · 2 citations
Physics and Astronomy · Arts and Humanities · #Quantum Mechanics and Applications #Relativity and Gravitational Theory #Philosophy and History of Science
paper · pdf · doi:10.48550/arxiv.2112.14063
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. This axiomatisation is, however, self-consciously terse, rendering it difficult to ascertain whether it succeeds. In this article, we provide a pedagogical walkthrough to the EPS axiomatisation, filling relevant conceptual and mathematical gaps and rendering explicit controversial assumptions. There are two companion papers, in which we discuss the significance of constructive approaches to spacetime structure more generally (Part II), and (with Emily Adlam) consider extensions of the EPS axiomatisation towards quantum general relativity based upon quantum mechanical inputs (Part III).