Complete Description of Tests of Special Relativity with Cavities

Physics

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Scientific paper

Within a Lorentz invariance violating extension of the Maxwell sector of the Standard Model, modifications of light propagation lead to changes in the resonance frequency of light in electromagnetic cavities. The effect can be tested in Michelson-Morley experiments. Due to the covariant structure of the modified Maxwell equations, the equation determining the Coulomb potential is also modified. For resonators made of ionic crystals or other solids, this changes the resonator length and leads to an additional modification of the resonance frequency. Here we consider Michelson-Morley experiments taking into account both effects. The new effects can be neglected for present experiments but may play some role in future ones.

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