Testing Relativity with High-Energy Astrophysical Neutrinos
Jorge S. Diaz, Alan Kostelecky, Matthew Mewes

TL;DR
This paper uses high-energy astrophysical neutrino observations to set new, extremely stringent limits on potential violations of Lorentz invariance predicted by quantum gravity theories.
Contribution
It introduces threshold and Cherenkov analyses that significantly tighten existing bounds on Lorentz invariance violations using neutrino data.
Findings
Bounds improved by factors of 10^6 to 10^{20}
Constraints on quantum gravity-induced Lorentz violation
Enhanced sensitivity of astrophysical neutrino observations
Abstract
The recent observation of high-energy astrophysical neutrinos can be used to constrain violations of Lorentz invariance emerging from a quantum theory of gravity. We perform threshold and Cherenkov analyses that improve existing bounds by factors ranging from about a million to 10^{20}.
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