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Testing Lorentz invariance by use of vacuum and matter filled cavity resonators

Holger Mueller
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Abstract

We consider tests of Lorentz invariance for the photon and fermion sector that use vacuum and matter-filled cavities. Assumptions on the wave-function of the electrons in crystals are eliminated from the underlying theory and accurate sensitivity coefficients (including some exceptionally large ones) are calculated for various materials. We derive the Lorentz-violating shift in the index of refraction n, which leads to additional sensitivity for matter-filled cavities ; and to birefringence in initially isotropic media. Using published experimental data, we obtain improved bounds on Lorentz violation for photons and electrons at levels of 10^-15 and below. We discuss implications for future experiments and propose a new Michelson-Morley type experiment based on birefringence in matter.

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Holger Mueller. 2004-12-26. Testing Lorentz invariance by use of vacuum and matter filled cavity resonators. https://doi.org/10.1103/physrevd.71.045004

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