The effect of different generalized uncertainty principles on Jeans mass modification

Abstract

Jeans mass is regarded as a crucial factor in the study of nebula collapse. Astronomical data shows that Jeans mass is larger in theory than it is in observation. Someone mentioned that Jeans mass can be modified by using the generalized uncertainty principle (GUP). However, different physical backgrounds lead to different forms of GUP expression. In order to make the theoretical values of Jeans mass and its observed values match better, we use three distinct types of GUPs to correct Jeans mass in this paper. We find that the corrected Jeans masses are smaller than the uncorrected ones, where the Pedram corrected Jeans mass is the minimum and is close to the observed value. In addition, we consider the impact of temperature T and the GUP parameters (η, β and γ) for the corrected Jeans mass.