# Testing Lorentz violation by the comparison of atomic clocks

## TL;DR

This paper develops a comprehensive theoretical model within the Robertson-Mansouri-Sexl framework to analyze Lorentz violation effects in atomic clock comparisons, distinguishing between kinematic and dynamic contributions.

## Contribution

It introduces a detailed model combining RMS and SME frameworks to better understand Lorentz violation effects in atomic clock experiments.

## Key findings

- Decomposition of Lorentz violation effects into time-delay and structure components.
- Comparison of kinematic and dynamic models for Lorentz violation.
- Enhanced understanding of Lorentz violation signatures in atomic clock data.

## Abstract

A more complete theoretical model of testing Lorentz violation by the comparison of atomic clocks is developed in the Robertson-Mansouri-Sexl kinematic framework. As this frame postulates the deviation of the coordinate transformation from the Lorentz transformation, from the viewpoint of the transformation violations on time and space, the LI violating effect in the atomic clock comparison can be explained as two parts: time-delay effect $\alpha \frac {v^2}{c^2}$ and structure effect $-\frac {\beta+2\delta}{3} \frac {v^2}{c^2}$. Standard model extension is a widely used dynamic frame to characterize the Lorentz violation, in which a space-orientation dependence violating background field is regarded as the essential reason for the Lorentz violation effect. Compared with the RMS frame which only indicates the kinematic properties with the coordinate transformation, this dynamic frame provides a more complete and clear description for the Lorentz violation effect.