Information theoretical approach to detecting quantum gravitational corrections
Abstract In this paper, we investigate the scales at which quantum gravitational corrections can be detected in a black hole using information theory. This is done by calculating the Kullback-Leibler divergence for the probability distributions obtained from the Parikh-Wilczek formalism. We observe...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)109 |
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| author | Behnam Pourhassan Xiaoping Shi Salman Sajad Wani Saif-Al-Khawari Farideh Kazemian İzzet Sakallı Naveed Ahmad Shah Mir Faizal |
| author_facet | Behnam Pourhassan Xiaoping Shi Salman Sajad Wani Saif-Al-Khawari Farideh Kazemian İzzet Sakallı Naveed Ahmad Shah Mir Faizal |
| author_sort | Behnam Pourhassan |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the scales at which quantum gravitational corrections can be detected in a black hole using information theory. This is done by calculating the Kullback-Leibler divergence for the probability distributions obtained from the Parikh-Wilczek formalism. We observe that as quantum gravitational corrections increase with decrease in scale, the increase the Kullback-Leibler divergence between the original and quantum gravitational corrected probability distributions will also increase. To understand the impact of such quantum gravitational corrections we use Fisher information. We observe that it again increases as we decrease the scale. We obtain these results for higher-dimensional black holes and observe this behavior for Kullback-Leibler divergence and Fisher information also depending on the dimensions of the black hole. Furthermore, we observe that the Fisher information is bounded and approaches a fixed value. Thus, information about the nature of quantum gravitational corrections itself is intrinsically restricted by quantum gravity. Thus, this work establishes an intrinsic epistemic boundary within quantum gravity. |
| format | Article |
| id | doaj-art-10574b8a57694713a16e5b5cea38c451 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-10574b8a57694713a16e5b5cea38c4512025-08-20T02:16:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212810.1007/JHEP02(2025)109Information theoretical approach to detecting quantum gravitational correctionsBehnam Pourhassan0Xiaoping Shi1Salman Sajad Wani2Saif-Al-Khawari3Farideh Kazemian4İzzet Sakallı5Naveed Ahmad Shah6Mir Faizal7School of Physics, Damghan UniversityDepartment of Computer Science, Mathematics, Physics and Statistics, University of British ColumbiaQatar Center for Quantum Computing, Hamad Bin Khalifa UniversityQatar Center for Quantum Computing, Hamad Bin Khalifa UniversitySchool of Physics, Damghan UniversityPhysics Department, Eastern Mediterranean UniversityCanadian Quantum Research CenterDepartment of Computer Science, Mathematics, Physics and Statistics, University of British ColumbiaAbstract In this paper, we investigate the scales at which quantum gravitational corrections can be detected in a black hole using information theory. This is done by calculating the Kullback-Leibler divergence for the probability distributions obtained from the Parikh-Wilczek formalism. We observe that as quantum gravitational corrections increase with decrease in scale, the increase the Kullback-Leibler divergence between the original and quantum gravitational corrected probability distributions will also increase. To understand the impact of such quantum gravitational corrections we use Fisher information. We observe that it again increases as we decrease the scale. We obtain these results for higher-dimensional black holes and observe this behavior for Kullback-Leibler divergence and Fisher information also depending on the dimensions of the black hole. Furthermore, we observe that the Fisher information is bounded and approaches a fixed value. Thus, information about the nature of quantum gravitational corrections itself is intrinsically restricted by quantum gravity. Thus, this work establishes an intrinsic epistemic boundary within quantum gravity.https://doi.org/10.1007/JHEP02(2025)109Black HolesModels of Quantum Gravity |
| spellingShingle | Behnam Pourhassan Xiaoping Shi Salman Sajad Wani Saif-Al-Khawari Farideh Kazemian İzzet Sakallı Naveed Ahmad Shah Mir Faizal Information theoretical approach to detecting quantum gravitational corrections Journal of High Energy Physics Black Holes Models of Quantum Gravity |
| title | Information theoretical approach to detecting quantum gravitational corrections |
| title_full | Information theoretical approach to detecting quantum gravitational corrections |
| title_fullStr | Information theoretical approach to detecting quantum gravitational corrections |
| title_full_unstemmed | Information theoretical approach to detecting quantum gravitational corrections |
| title_short | Information theoretical approach to detecting quantum gravitational corrections |
| title_sort | information theoretical approach to detecting quantum gravitational corrections |
| topic | Black Holes Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP02(2025)109 |
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