Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle

TL;DR

This paper investigates how the Generalized Uncertainty Principle (GUP), which predicts a minimal length at the Planck scale, affects primordial nucleosynthesis and uses observational data to constrain GUP parameters.

Contribution

It introduces a semiclassical approach to thermodynamic gravity incorporating quadratic GUP and constrains its deformation parameter using primordial element abundances.

Findings

GUP effects are consistent with existing cosmological bounds

Constraints on GUP parameter eta are derived from Big Bang Nucleosynthesis data

Results support the compatibility of GUP with early universe observations

Abstract

The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic gravity and constrain the deformation parameter by using observational bounds from Big Bang Nucleosynthesis and primordial abundances of the light elements 4He,D,7Li. We show that our result fits with most of existing bounds on \beta derived from other cosmological studies.