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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: Relativistic Astrophysics II

GR 11.4: Talk

Wednesday, March 13, 2024, 16:45–17:05, HBR 14: HS 2

Effects of Quantum Gravity on the Nuclear Astrophysics of Quark Stars: The GUP-Modified MIT Bag Model — •Marcelo Netz-Marzola^1,2, César A. Zen Vasconcellos^3,4, and Dimiter Hadjimichef³ — ¹FIAS, Frankfurt, Germany — ²Goethe-Uni, Frankfurt, Germany — ³UFRGS, Porto Alegre, Brazil — ⁴ICRANet, Pescara, Italy

The Generalized Uncertainty Principle (GUP) is motivated by the premise that spacetime distortions near the Planck scale impose a lower bound on the achievable resolution of distances, leading to a minimum length. Inspired by a semiclassical method that integrates the GUP into the partition function by deforming its phase space, we induce a modification on the thermodynamic quantities of the MIT bag model that we propose serves as an effective semiclassical description of deconfined quark matter in a space with minimal length. We investigate the consequences of this deformation on the zero-temperature limit, revealing a saturation limit for the energy density, pressure and baryon number density and an overall decrease of the thermodynamic quantities, alongside a slight increase in the mass-radius relation of compact objects, providing enhanced stability against gravitational collapse. These findings extend existing research on GUP-deformed Fermi gases. Finally, we briefly outline the path towards a more generalized GUP framework capable of integrating a variety of particles and interactions. Theoretical implications of our work can be tested in the future at the HADES experiment at GSI and at the CBM experiment at FAIR.

Keywords: Compact Stars; Minimal Length; Generalized Uncertainty Principle; MIT Bag Model; Nuclear Astrophysics