Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations fr...
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2024-12-01
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| author | João Gabriel Galli Gimenez Dimiter Hadjimichef Peter Otto Hess Marcelo Netz-Marzola César A. Zen Vasconcellos |
| author_facet | João Gabriel Galli Gimenez Dimiter Hadjimichef Peter Otto Hess Marcelo Netz-Marzola César A. Zen Vasconcellos |
| author_sort | João Gabriel Galli Gimenez |
| collection | DOAJ |
| description | In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations from conventional Quantum Mechanics, fundamental questions involving the consistence, evidences and proofs of this approach as a possible cure for unbounded energy divergence are outlined. The incorporation of GUP effects into semiclassical 2N-dimensional systems is made by means of a time-invariant distortion transformation applied to their non-deformed counterparts. Assuming the quantum hadrodynamics <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>−</mo><mi>ω</mi></mrow></semantics></math></inline-formula> approach as a toy-model, due to its simplicity and structured description of neutron stars, we perform a preliminary analysis of GUP effects with a minimum spacetime length on these compact objects. The corresponding results for the equation of state and the mass-radius relation for neutron stars are in tune with recent observations with a maximum mass around 2.5 M<sub>⊙</sub> and radius close to 12 km. Our results also indicate the smallness of the noncommutative scale. |
| format | Article |
| id | doaj-art-840ab84ff30c43a5822782a7f8c7e5d1 |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
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| spelling | doaj-art-840ab84ff30c43a5822782a7f8c7e5d12025-01-24T13:51:27ZengMDPI AGUniverse2218-19972024-12-01111510.3390/universe11010005Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?João Gabriel Galli Gimenez0Dimiter Hadjimichef1Peter Otto Hess2Marcelo Netz-Marzola3César A. Zen Vasconcellos4Instituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilInstituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilDepartamento Estructura de la Materia, Institito de Ciencias Nucleares, Universidad Nacional Autónoma de México (UNAM), Mexico City 04510, MexicoFrankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Str. 1, 60438 Frankfurt am Main, GermanyInstituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilIn the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations from conventional Quantum Mechanics, fundamental questions involving the consistence, evidences and proofs of this approach as a possible cure for unbounded energy divergence are outlined. The incorporation of GUP effects into semiclassical 2N-dimensional systems is made by means of a time-invariant distortion transformation applied to their non-deformed counterparts. Assuming the quantum hadrodynamics <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>−</mo><mi>ω</mi></mrow></semantics></math></inline-formula> approach as a toy-model, due to its simplicity and structured description of neutron stars, we perform a preliminary analysis of GUP effects with a minimum spacetime length on these compact objects. The corresponding results for the equation of state and the mass-radius relation for neutron stars are in tune with recent observations with a maximum mass around 2.5 M<sub>⊙</sub> and radius close to 12 km. Our results also indicate the smallness of the noncommutative scale.https://www.mdpi.com/2218-1997/11/1/5noncommutative quantum gravitygeneralized uncertainty principleGUPminimal length |
| spellingShingle | João Gabriel Galli Gimenez Dimiter Hadjimichef Peter Otto Hess Marcelo Netz-Marzola César A. Zen Vasconcellos Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? Universe noncommutative quantum gravity generalized uncertainty principle GUP minimal length |
| title | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| title_full | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| title_fullStr | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| title_full_unstemmed | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| title_short | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| title_sort | can effects of a generalized uncertainty principle appear in compact stars |
| topic | noncommutative quantum gravity generalized uncertainty principle GUP minimal length |
| url | https://www.mdpi.com/2218-1997/11/1/5 |
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