Constraining Snyder and GUP models with low-mass stars

TL;DR

This paper uses low-mass star models with Snyder and GUP corrections to set new bounds on quantum gravity parameters, highlighting the importance of realistic matter modeling in astrophysical tests.

Contribution

It introduces a realistic matter model for low-mass stars incorporating Snyder and GUP corrections, leading to improved constraints on quantum gravity parameters.

Findings

Derived a bound of $eta_0 \,\leq 1.36 \times 10^{48}$ for Snyder and GUP parameters.

Found equations similar to those from modified Einstein gravity theories.

Showed the importance of realistic matter modeling in astrophysical quantum gravity tests.

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 $\beta_0 \leq 1.36 \times 10^{48}$. 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.