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Cosmic rays have extremely high particle energies (up to $10^{20} \; \text{eV}$) and can be used to search for violations of Lorentz invariance.
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V.A. Kostelecký and M. Mewes, “Signals for Lorentz violation in electrodynamics,” Phys. Rev. D 66
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B. Altschul, “Lorentz violation and synchrotron radiation,” Phys. Rev. D72
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T. Jacobson, S. Liberati, and D. Mattingly, “Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints,” Annals Phys. (N.Y.) 321
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C. Kaufhold and F.R. Klinkhamer, “Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics,” Nucl. Phys. B734
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T. Pierog, M.K. Alekseeva, T. Bergmann, V. Chernatkin, R. Engel, D. Heck, N.N. Kalmykov, J. Moyon, S. Ostapchenko, T. Thouw, and K. Werner, “First results of fast one-dimensional hybrid simulation of EAS using CONEX,” Nucl. Phys. Proc. Suppl. 151
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T. Bergmann, R. Engel, D. Heck, N.N. Kalmykov, S. Ostapchenko, T. Pierog, T. Thouw, and K. Werner, “One-dimensional hybrid approach to extensive air shower simulation,” Astropart. Phys. 26
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V.A. Kostelecký and N. Russell, “Data tables for Lorentz and CPT violation,” Rev. Mod. Phys. 83
2011
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2017
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T. Pierog, “Air shower simulation with a new generation of post-LHC hadronic interaction models in CORSIKA,” PoS ICRC2017
2017
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2017
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