Constraining Snyder and GUP models with low-mass stars

Abstract

We investigate the application of an equation of state that incorporates corrections derived from the Snyder model (and the Generalized Uncertainty Principle) to describe the behavior of matter in a low-mass star. Remarkably, the resulting equations exhibit striking similarities to those arising from modified Einstein gravity theories. By modeling matter with realistic considerations, we are able to more effectively constrain the theory parameters, surpassing the limitations of existing astrophysical bounds. The bound we obtain is ${\beta }_0\le 1.36\times 10^{48}$. We underline the significance of realistic matter modeling in order to enhance our understanding of effects arising in quantum gravity phenomenology and implications of quantum gravitational corrections in astrophysical systems.

arXiv comment11 pages, 2 figures, 1 table, version compatible with Eur.Phys.J.C

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• From Snyder space-times to doubly $\kappa$-dependent Yang quantum phase spaces and their generalizations
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Generalized uncertainty principle and neutrino phenomenology
• Towards new relativistic doubly $\kappa$-deformed D=4 quantum phase spaces
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis