The hole argument meets Noether's theorem
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911800293851136 |
|---|---|
| author | Gomes, Henrique |
| author_facet | Gomes, Henrique |
| contents | 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 'dragged-along', 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' response to the hole argument avoid the criticisms of the `drag-along response' and are compatible with Noether's second theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The hole argument meets Noether's theorem Gomes, Henrique History and Philosophy of Physics General Relativity and Quantum Cosmology 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 'dragged-along', 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' response to the hole argument avoid the criticisms of the `drag-along response' and are compatible with Noether's second theorem. |
| title | The hole argument meets Noether's theorem |
| topic | History and Philosophy of Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.10970 |