Abstract
High-energy neutrino astronomy will be capable of observing particles at both extremely high energies and over extremely long baselines. These features make such experiments highly sensitive to the effects of $CPT$ and Lorentz violation. In this article, we review the theoretical foundation and motivation for $CPT$ and Lorentz violating effects, and then go on to discuss the related phenomenology within the neutrino sector. We describe several signatures which might be used to identify the presence of $CPT$ or Lorentz violation in next generation neutrino telescopes and cosmic ray experiments. In many cases, high-energy neutrino experiments can test for $CPT$ and Lorentz violation effects with much greater precision than other techniques.
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