Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs

TL;DR

This paper investigates how the generalized uncertainty principle from quantum gravity theories affects the thermodynamics of gases and the structure of stars like main sequence stars and white dwarfs, revealing potential observable modifications.

Contribution

It introduces a modified Lane-Emden equation accounting for quantum gravity effects on stellar polytropic relations, providing bounds on quantum gravity parameters in astrophysical contexts.

Findings

Modified pressure, particle number, and energy density due to quantum gravity.

Altered Lane-Emden equation affecting stellar structure models.

Estimated bounds on quantum gravity parameters within astrophysical regimes.

Abstract

This paper addresses the effect of generalized uncertainty principle, emerged by a different approaches of quantum gravity within Planck scale, on thermodynamic properties of photon, non-relativistic ideal gases and degenerate fermions. A modification in pressure, particle number and energy density are calculated. Astrophysical objects such as main sequence stars and white dwarfs are examined and discussed as an application. A modification in Lane-Emden equation due to a change in a polytropic relation caused by the presence of quantum gravity, is investigated. The applicable range of quantum gravity parameters is estimated. The bounds in the perturbed parameters are relatively large but it may be considered reasonable values in the astrophysical regime.