Cosmological Model Independent Time Delay Method

TL;DR

This paper introduces a model-independent method to test Lorentz invariance violation using observational data, emphasizing the importance of error analysis in the propagation process.

Contribution

The paper presents the first cosmological model independent time delay method for testing LIV, utilizing observational data to construct the LIV variable.

Findings

Simulated data validate the CMITD method for LIV testing.

Errors in data propagation significantly affect LIV detection.

Method demonstrates potential for model-independent LIV constraints.

Abstract

We propose a Cosmological Model Independent Time Delay (CMITD) method where the Lorentz invariance violation (LIV) variable $K(z)$ is constructed by observational data instead of cosmological model. The simulated time delay data show the CMITD method could present the validity of LIV test. And, the errors in the propagating process is critical for the existence and magnitude of LIV.