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Regarding the `Hole Argument' and the `Problem of Time'

Thebault, Karim P Y and Gryb, Sean (2015) Regarding the `Hole Argument' and the `Problem of Time'. [Preprint]

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Abstract

The canonical formalism of general relativity affords a particularly interesting characterisation of the infamous hole argument. It also provides a natural formalism in which to relate the hole argument to the problem of time in classical and quantum gravity. In this paper we examine the connection between these two much discussed problems in the foundations of spacetime theory along two interrelated lines. First, from a formal perspective, we consider the extent to which the two problems can and cannot be precisely and distinctly characterised. Second, from a philosophical perspective, we consider the implications of various responses to the problems, with a particular focus upon the viability of a `deflationary' attitude to the relationalist/substantivalist debate regarding the ontology of spacetime. Conceptual and formal inadequacies within the representative language of canonical gravity will be shown to be at the heart of both the canonical hole argument and the problem of time. Interesting and fruitful work at the interface of physics and philosophy relates to the challenge of resolving such inadequacies.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Thebault, Karim P Ykarim.thebault@gmail.com
Gryb, Seans.gryb@hef.ru.nl
Keywords: Hole Argument, Problem of Time, Representation, Symmetry, Diffeomorphism
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr Karim Thebault
Date Deposited: 06 Dec 2015 12:55
Last Modified: 06 Dec 2015 12:55
Item ID: 11795
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Relativity Theory
Date: 5 December 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11795

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