Testing Lorentz Violation Using Propagating UHECRs

TL;DR

This paper proposes a new method to test Lorentz invariance violation by measuring the time-delay of ultra-high-energy cosmic rays, potentially offering stronger constraints than existing astrophysical tests.

Contribution

It introduces a novel approach to detect LIV through UHECR time-delay measurements, expanding the parameter space and overcoming previous limitations.

Findings

Method could provide larger LIV parameter constraints

Time-delay detection is feasible despite magnetic field challenges

Potential for stronger LIV constraints than current tests

Abstract

Lorentz invariant violation (LIV) test is very important to study in the new physics. All the known astrophysical constraints either have a very small examinable parameter space, or are only suitable for some special theoretical models. Here we suggest that it is possible to detect the time-delay of ultra-high-energy cosmic-rays (UHECRs) directly. We discuss some difficulties in our method, including the intergalactic magnetic fields. It seems that none of them are crucial, hence this method could give a larger examinable parameter space and a stronger constraint on LIV.