Local Lorentz invariance tests for photons and hadrons at the Gamma Factory

TL;DR

This paper proposes high-precision experiments at the Gamma Factory to test local Lorentz invariance by monitoring sidereal variations in photon energies and beam momentum, aiming for unprecedented sensitivity levels.

Contribution

It introduces a novel experimental approach and detector concept for testing Lorentz invariance with ultrarelativistic heavy-ion beams at the Gamma Factory.

Findings

Projected sensitivity to Lorentz invariance violations between 10^{-14} and 10^{-17}

Potential to detect anisotropy in maximum attainable speeds of photons and ions

Provides a framework for high-precision LLI tests using sidereal time variations

Abstract

High-precision tests of local Lorentz invariance, via monitoring of the sidereal time variation of the photon energies emitted by ultrarelativistic heavy-ion beams and of the beam momentum, are proposed. This paper includes descriptions of the physics ideas and the concept for the detector. The experiment results will allow high-precision tests of LLI via anisotropy of the maximum attainable speed of a photon and an ion. The projected accuracy for the asymmetries interpreted in the framework of the anisotropic relativistic mechanics corresponds to the limit on sidereal time variation of the one-way maximum attainable speed at the levels between $10^{-14}$ and $10^{-17}$.