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Constructive Axiomatics in Spacetime Physics Part I: Walkthrough to the Ehlers-Pirani-Schild Axiomatisation

Linnemann, Niels and Read, James (2021) Constructive Axiomatics in Spacetime Physics Part I: Walkthrough to the Ehlers-Pirani-Schild Axiomatisation. [Preprint]

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Abstract

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).


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Linnemann, Nielsnielslinnemann@aol.com0000-0002-3695-8611
Read, Jamesjames.read@philosophy.ox.ac.uk
Additional Information: Critical feedback welcome.
Keywords: General relativity, constructive axiomatics, epistemology of spacetime
Subjects: Specific Sciences > Physics > Relativity Theory
Depositing User: Dr. James Read
Date Deposited: 31 Dec 2021 20:11
Last Modified: 31 Dec 2021 20:11
Item ID: 20056
Subjects: Specific Sciences > Physics > Relativity Theory
Date: 28 December 2021
URI: http://philsci-archive.pitt.edu/id/eprint/20056

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