Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911111561871360 |
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| author | Gimenez, João Gabriel Galli Hadjimichef, Dimiter Hess, Peter O. Netz-Marzola, Marcelo Vasconcellos, César A. Zen |
| author_facet | Gimenez, João Gabriel Galli Hadjimichef, Dimiter Hess, Peter O. Netz-Marzola, Marcelo Vasconcellos, César A. Zen |
| contents | 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 $σ-ω$ 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 $2.5 M_{\odot}$ and radius close to $12$ km. Our results also indicate the smallness of the noncommutative scale. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_14296 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? Gimenez, João Gabriel Galli Hadjimichef, Dimiter Hess, Peter O. Netz-Marzola, Marcelo Vasconcellos, César A. Zen General Relativity and Quantum Cosmology 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 $σ-ω$ 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 $2.5 M_{\odot}$ and radius close to $12$ km. Our results also indicate the smallness of the noncommutative scale. |
| title | Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.14296 |