The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis

TL;DR

This paper investigates how a new higher-order generalized uncertainty principle (GUP) affects primordial big bang nucleosynthesis, deriving modified cosmological equations and constraining GUP parameters using observational data.

Contribution

It introduces a novel higher-order GUP, derives its impact on Friedmann equations and BBN, and constrains the GUP parameters with observational bounds.

Findings

GUP significantly influences primordial nucleosynthesis

Deformation parameter can be positive or negative

New higher-order GUP modifies universe thermodynamics

Abstract

As an important class of quantum gravity models, the generalized uncertainty principle (GUP) plays an important role in exploring the properties of cosmology and its related problems. In this paper, we explore the influence of the higher-order GUP on the primordial big bang nucleosynthesis (BBN). Firstly, based on a new higher-order GUP, we derived the Friedmann equations influenced by quantum gravity and the corresponding thermodynamic properties of the universe. Then, according to these modifications, we investigate BBN within the framework of GUP. Finally, combining the observational bounds of the primordial light element abundances, we constrain the bounds on deformation parameters of the new higher-order GUP. The results show that GUP has a significant effect on the BBN of the universe. Moreover, due to the unique properties of the higher-order GUP, it is found that value of the deformation parameter can be both positive and negative, which is different from the classical case.