Measuring the curvature of the universe based on the dust-scattering ring of GRB 221009A

TL;DR

This paper explores a novel method using dust-scattering rings from GRB 221009A to measure the universe's curvature, but finds current observational scales limit its effectiveness.

Contribution

It introduces a new approach to cosmological measurement via GRB scattering rings and analyzes its potential and limitations.

Findings

Method is limited by small geometric scale of observations.

Current data cannot significantly constrain cosmic curvature.

Proposes future applications with larger-scale observations.

Abstract

We investigate the use of dust-scattering rings from GRB 221009A to measure cosmic curvature. We derive the relationship between scattering angle and time delay in non-flat universes and attempt to constrain cosmological parameters by fitting theoretical predictions to observational data. The results show that this method is limited in its effectiveness due to the small geometric scale of observations. While unable to provide significant constraints, this study introduces a novel approach to cosmological measurements using GRB scattering rings. We discuss the method's limitations and potential future applications with larger-scale observations.