Gödel's undecidability theorems and the search for a theory of everything
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910342515261440 |
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| author | Kiefer, Claus |
| author_facet | Kiefer, Claus |
| contents | I investigate the question whether Gödel's undecidability theorems play a crucial role in the search for a unified theory of physics. I conclude that unless the structure of space-time is fundamentally discrete we can never decide whether a given theory is the final one or not. This is relevant for both canonical quantum gravity and string theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07331 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gödel's undecidability theorems and the search for a theory of everything Kiefer, Claus General Relativity and Quantum Cosmology High Energy Physics - Theory History and Philosophy of Physics I investigate the question whether Gödel's undecidability theorems play a crucial role in the search for a unified theory of physics. I conclude that unless the structure of space-time is fundamentally discrete we can never decide whether a given theory is the final one or not. This is relevant for both canonical quantum gravity and string theory. |
| title | Gödel's undecidability theorems and the search for a theory of everything |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory History and Philosophy of Physics |
| url | https://arxiv.org/abs/2305.07331 |