The most sensitive test so far of special relativity is claimed to show that Lorentz invariance is correct to within one part in 1021. But the sceptics will no doubt shrug this off.
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Maddox, J. Tests of relativity (continued). Nature 325, 103 (1987). https://doi.org/10.1038/325103a0
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DOI: https://doi.org/10.1038/325103a0