Quantum gravity constraints on fine structure constant from GUP in braneworlds
Abstract The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric constant on the space. In its turn, the corrected...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11515-w |
| _version_ | 1797789584165175296 |
|---|---|
| author | A. S. Lemos F. A. Brito |
| author_facet | A. S. Lemos F. A. Brito |
| author_sort | A. S. Lemos |
| collection | DOAJ |
| description | Abstract The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric constant on the space. In its turn, the corrected Coulomb potential by the gravitational interaction yields a deviation on the 3-dimensional Bohr radius. Then, we compute the corrections on the fine structure constant owing to the GUP in higher-dimensional spacetime. We also found constraints for the deformation parameter $$\beta $$ β and D-dimensional Planck length $$l_{D}$$ l D by comparing the predicted deviations with the recent empirical data of the fine structure constant. We compute the intermediate length scale, which in principle may be larger than the Planck length scale. It is conjectured that below such scale Quantum Gravity effects should take place. |
| first_indexed | 2024-03-13T01:52:45Z |
| format | Article |
| id | doaj.art-afa4fb55a4534eefbbc1bc70eca26847 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T01:52:45Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-afa4fb55a4534eefbbc1bc70eca268472023-07-02T11:25:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183511010.1140/epjc/s10052-023-11515-wQuantum gravity constraints on fine structure constant from GUP in braneworldsA. S. Lemos0F. A. Brito1Departamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeAbstract The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric constant on the space. In its turn, the corrected Coulomb potential by the gravitational interaction yields a deviation on the 3-dimensional Bohr radius. Then, we compute the corrections on the fine structure constant owing to the GUP in higher-dimensional spacetime. We also found constraints for the deformation parameter $$\beta $$ β and D-dimensional Planck length $$l_{D}$$ l D by comparing the predicted deviations with the recent empirical data of the fine structure constant. We compute the intermediate length scale, which in principle may be larger than the Planck length scale. It is conjectured that below such scale Quantum Gravity effects should take place.https://doi.org/10.1140/epjc/s10052-023-11515-w |
| spellingShingle | A. S. Lemos F. A. Brito Quantum gravity constraints on fine structure constant from GUP in braneworlds European Physical Journal C: Particles and Fields |
| title | Quantum gravity constraints on fine structure constant from GUP in braneworlds |
| title_full | Quantum gravity constraints on fine structure constant from GUP in braneworlds |
| title_fullStr | Quantum gravity constraints on fine structure constant from GUP in braneworlds |
| title_full_unstemmed | Quantum gravity constraints on fine structure constant from GUP in braneworlds |
| title_short | Quantum gravity constraints on fine structure constant from GUP in braneworlds |
| title_sort | quantum gravity constraints on fine structure constant from gup in braneworlds |
| url | https://doi.org/10.1140/epjc/s10052-023-11515-w |
| work_keys_str_mv | AT aslemos quantumgravityconstraintsonfinestructureconstantfromgupinbraneworlds AT fabrito quantumgravityconstraintsonfinestructureconstantfromgupinbraneworlds |