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Measurements of the beta decay rates of nuclei have revealed annualperiodicities with approximately the same relative amplitude even though thehalf-lives range over nine orders of magnitude. Here we show that this can beexplained if the emitted neutrinos behave as if they propagate in a medium witha refractive index which varies as the Earth orbits the sun. This refractiveindex may be due to fundamental Lorentz non-invariance (LNI), or apparent LNIarising from interactions with solar or relic neutrinos, or dark matter.Additionally, this medium could have consequences for experiments attempting tomeasure the neutrino mass.

Is there a signal for Lorentz non-invariance in existing radioactive decay data?