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Modern Michelson-Morley experiment using cryogenic optical resonators.

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TLDR
A new test of Lorentz invariance is performed by comparing the resonance frequencies of two orthogonal cryogenic optical resonators subject to Earth's rotation over approximately 1 yr, improving the best previous result by about 2 orders of magnitude.
Abstract
We report on a new test of Lorentz invariance performed by comparing the resonance frequencies of two orthogonal cryogenic optical resonators subject to Earth's rotation over $\ensuremath{\sim}1\text{ }\mathrm{y}\mathrm{r}$. For a possible anisotropy of the speed of light $c$, we obtain ${\ensuremath{\Delta}}_{\ensuremath{\theta}}c/{c}_{0}=(2.6\ifmmode\pm\else\textpm\fi{}1.7)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}$. Within the Robertson-Mansouri-Sexl (RMS) test theory, this implies an isotropy violation parameter $\ensuremath{\beta}\ensuremath{-}\ensuremath{\delta}\ensuremath{-}\frac{1}{2}=(\ensuremath{-}2.2\ifmmode\pm\else\textpm\fi{}1.5)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$, about 3 times lower than the best previous result. Within the general extension of the standard model of particle physics, we extract limits on seven parameters at accuracies down to ${10}^{\ensuremath{-}15}$, improving the best previous result by about 2 orders of magnitude.

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The Confrontation Between General Relativity and Experiment

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Gravity, Lorentz violation, and the standard model

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Journal ArticleDOI

The Confrontation between General Relativity and Experiment

TL;DR: Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion.
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Electrodynamics with Lorentz-violating operators of arbitrary dimension

TL;DR: In this article, the behavior of photons in the presence of Lorentz and CPT violation is studied, and a complete characterization of the coefficients for all mass dimensions via a decomposition using spin-weighted spherical harmonics.
Journal ArticleDOI

Signals for Lorentz violation in post-Newtonian gravity

TL;DR: In this article, a method was developed to extract the modified Einstein field equations in the limit of small metric fluctuations about the Minkowski vacuum, while allowing for the dynamics of the 20 independent coefficients for Lorentz violation.
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