Maximal momentum GUP leads to quadratic gravity
Quantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg Uncertainty Principle motivated by Quantum Gravity, to model the ab...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026932100561X |
| _version_ | 1818437674551214080 |
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| author | Vijay Nenmeli S. Shankaranarayanan Vasil Todorinov Saurya Das |
| author_facet | Vijay Nenmeli S. Shankaranarayanan Vasil Todorinov Saurya Das |
| author_sort | Vijay Nenmeli |
| collection | DOAJ |
| description | Quantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg Uncertainty Principle motivated by Quantum Gravity, to model the above features. In particular, we use a GUP with modelling maximum momentum to establish a correspondence between the GUP-modified dynamics of a massless spin-2 field and quadratic (referred to as Stelle) gravity. In other words, Stelle gravity can be regarded as the classical manifestation of a maximum momentum and the related GUP. We explore the applications of Stelle gravity to cosmology and specifically show that Stelle gravity applied to a homogeneous and isotropic background leads to inflation with an exit. Using the above, we obtain strong bounds on the GUP parameter from CMB observations. Unlike previous works, which fixed only upper bounds for GUP parameters, we obtain both lower and upper bounds on the GUP parameter. |
| first_indexed | 2024-12-14T17:28:26Z |
| format | Article |
| id | doaj.art-bc847ea83ab04e1c966cc5abf86a10c0 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-14T17:28:26Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-bc847ea83ab04e1c966cc5abf86a10c02022-12-21T22:53:10ZengElsevierPhysics Letters B0370-26932021-10-01821136621Maximal momentum GUP leads to quadratic gravityVijay Nenmeli0S. Shankaranarayanan1Vasil Todorinov2Saurya Das3Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, IndiaDepartment of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India; Corresponding author.Theoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, CanadaTheoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, CanadaQuantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg Uncertainty Principle motivated by Quantum Gravity, to model the above features. In particular, we use a GUP with modelling maximum momentum to establish a correspondence between the GUP-modified dynamics of a massless spin-2 field and quadratic (referred to as Stelle) gravity. In other words, Stelle gravity can be regarded as the classical manifestation of a maximum momentum and the related GUP. We explore the applications of Stelle gravity to cosmology and specifically show that Stelle gravity applied to a homogeneous and isotropic background leads to inflation with an exit. Using the above, we obtain strong bounds on the GUP parameter from CMB observations. Unlike previous works, which fixed only upper bounds for GUP parameters, we obtain both lower and upper bounds on the GUP parameter.http://www.sciencedirect.com/science/article/pii/S037026932100561XQuantum gravity phenomenologyGUPQuadratic gravityInflation |
| spellingShingle | Vijay Nenmeli S. Shankaranarayanan Vasil Todorinov Saurya Das Maximal momentum GUP leads to quadratic gravity Physics Letters B Quantum gravity phenomenology GUP Quadratic gravity Inflation |
| title | Maximal momentum GUP leads to quadratic gravity |
| title_full | Maximal momentum GUP leads to quadratic gravity |
| title_fullStr | Maximal momentum GUP leads to quadratic gravity |
| title_full_unstemmed | Maximal momentum GUP leads to quadratic gravity |
| title_short | Maximal momentum GUP leads to quadratic gravity |
| title_sort | maximal momentum gup leads to quadratic gravity |
| topic | Quantum gravity phenomenology GUP Quadratic gravity Inflation |
| url | http://www.sciencedirect.com/science/article/pii/S037026932100561X |
| work_keys_str_mv | AT vijaynenmeli maximalmomentumgupleadstoquadraticgravity AT sshankaranarayanan maximalmomentumgupleadstoquadraticgravity AT vasiltodorinov maximalmomentumgupleadstoquadraticgravity AT sauryadas maximalmomentumgupleadstoquadraticgravity |