Gomes, Henrique (2024) The hole argument meets Noether's theorem. [Preprint]

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Abstract

The hole argument of general relativity threatens a radical and pernicious form of indeterminism. One natural response to the argument is that points belonging to different but isometric models should always be identified, or \lq{}dragged-along\rq{}, by the diffeomorphism that relates them. In this paper, I first criticise this response and its construal of isometry: it stumbles on certain cases, like Noether's second theorem. Then I go on to describe how the essential features of Einstein\rq{}s `point-coincidence\rq{} response to the hole argument avoid the criticisms of the `drag-along response\rq{} and are compatible with Noether\rq{}s second theorem.

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Item Type:	Preprint
Creators:	Creators Email ORCID Gomes, Henrique gomes.ha@gmail.com 0000-0002-9285-0090
Keywords:	Hole argument, Noether's theorems
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Dr Henrique Gomes
Date Deposited:	16 Oct 2024 12:04
Last Modified:	16 Oct 2024 12:04
Item ID:	24071
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances
Date:	8 October 2024
URI:	https://philsci-archive.pitt.edu/id/eprint/24071

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