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We briefly discuss the implications of recent AUGER results for patterns ofLorentz symmetry violation (LSV), assuming that the existence of theGreisen-Zatsepin-Kuzmin cutoff is definitely confirmed. The mass composition ofthe highest-energy cosmic-ray spectrum is a crucial issue. In any case, the newdata allow in principle to exclude a significant range of LSV models but leaveopen several important possibilities : a weaker Lorentz breaking, a fundamentalscale beyond the Planck scale, scenarios with threshold effects... It may evenhappen that spontaneous decays due to LSV fake the GZK cutoff. Spaceexperiments appear to be needed to further test special relativity. We alsocomment on the consequences of AUGER data for superbradyons. If such particlesare present in the Universe, they may provide new forms of dark matter and darkenergy.

Lorentz symmetry violation and the results of the AUGER experiment