A background-independent algebra in quantum gravity
Abstract We propose an algebra of operators along an observer’s worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative en...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2024)077 |
| _version_ | 1797259574190800896 |
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| author | Edward Witten |
| author_facet | Edward Witten |
| author_sort | Edward Witten |
| collection | DOAJ |
| description | Abstract We propose an algebra of operators along an observer’s worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative entropy with this state. In the case that the only spacetimes considered correspond to de Sitter vacua with different values of the cosmological constant, this definition leads to sensible results. |
| first_indexed | 2024-04-24T23:11:35Z |
| format | Article |
| id | doaj.art-72089209783041d48be2079d6aff3e30 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T23:11:35Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-72089209783041d48be2079d6aff3e302024-03-17T12:12:11ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024313810.1007/JHEP03(2024)077A background-independent algebra in quantum gravityEdward Witten0School of Natural Sciences, Institute for Advanced StudyAbstract We propose an algebra of operators along an observer’s worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative entropy with this state. In the case that the only spacetimes considered correspond to de Sitter vacua with different values of the cosmological constant, this definition leads to sensible results.https://doi.org/10.1007/JHEP03(2024)077Cosmological modelsde Sitter space |
| spellingShingle | Edward Witten A background-independent algebra in quantum gravity Journal of High Energy Physics Cosmological models de Sitter space |
| title | A background-independent algebra in quantum gravity |
| title_full | A background-independent algebra in quantum gravity |
| title_fullStr | A background-independent algebra in quantum gravity |
| title_full_unstemmed | A background-independent algebra in quantum gravity |
| title_short | A background-independent algebra in quantum gravity |
| title_sort | background independent algebra in quantum gravity |
| topic | Cosmological models de Sitter space |
| url | https://doi.org/10.1007/JHEP03(2024)077 |
| work_keys_str_mv | AT edwardwitten abackgroundindependentalgebrainquantumgravity AT edwardwitten backgroundindependentalgebrainquantumgravity |