A critique on some aspects of GUP effective metric
Abstract The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg’s uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory. We are used to working with metric tensors in general relativity; they are convenient to h...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11360-x |
| _version_ | 1797836302134018048 |
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| author | Yen Chin Ong |
| author_facet | Yen Chin Ong |
| author_sort | Yen Chin Ong |
| collection | DOAJ |
| description | Abstract The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg’s uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory. We are used to working with metric tensors in general relativity; they are convenient to have available when we wish to calculate physical quantities like Hawking temperature and black hole shadow. Various authors have tried to incorporate GUP into an effective metric that allows such calculations. In this note, I point out that some of these results are not correct due to working with series truncation rather than the full GUP-corrected expressions. Perhaps more importantly, we rely too much on heuristic arguments and lack a guiding principle in constructing the correct effective metric. |
| first_indexed | 2024-04-09T15:07:42Z |
| format | Article |
| id | doaj.art-a691ed4b874c43abb424730c34c9c3f9 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T15:07:42Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a691ed4b874c43abb424730c34c9c3f92023-04-30T11:25:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-03-018331610.1140/epjc/s10052-023-11360-xA critique on some aspects of GUP effective metricYen Chin Ong0Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg’s uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory. We are used to working with metric tensors in general relativity; they are convenient to have available when we wish to calculate physical quantities like Hawking temperature and black hole shadow. Various authors have tried to incorporate GUP into an effective metric that allows such calculations. In this note, I point out that some of these results are not correct due to working with series truncation rather than the full GUP-corrected expressions. Perhaps more importantly, we rely too much on heuristic arguments and lack a guiding principle in constructing the correct effective metric.https://doi.org/10.1140/epjc/s10052-023-11360-x |
| spellingShingle | Yen Chin Ong A critique on some aspects of GUP effective metric European Physical Journal C: Particles and Fields |
| title | A critique on some aspects of GUP effective metric |
| title_full | A critique on some aspects of GUP effective metric |
| title_fullStr | A critique on some aspects of GUP effective metric |
| title_full_unstemmed | A critique on some aspects of GUP effective metric |
| title_short | A critique on some aspects of GUP effective metric |
| title_sort | critique on some aspects of gup effective metric |
| url | https://doi.org/10.1140/epjc/s10052-023-11360-x |
| work_keys_str_mv | AT yenchinong acritiqueonsomeaspectsofgupeffectivemetric AT yenchinong critiqueonsomeaspectsofgupeffectivemetric |