Astrophysical, terrestrial, and space-based searches for Lorentz violation
are very briefly reviewed. Such searches are motivated by the fact that all
superunified theories (and other theories that attempt to include quantum
gravity) have some potential for observable violations of Lorentz invariance.
Another motivation is the exquisite sensitivity of certain well-designed
experiments and observations to particular forms of Lorentz violation. We also
review some new predictions of a specific Lorentz-violating theory: If a
fundamental energy \bar{m} in this theory lies below the usual GZK cutoff
E_{GZK}, the cutoff is shifted to infinite energy; i.e., it no longer exists.
On the other hand, if \bar{m} lies above E_{GZK}, there is a high-energy branch
of the fermion dispersion relation which provides an alternative mechanism for
super-GZK cosmic-ray protons.Comment: 8 pages; submitted for proceedings of Second International Conference
on Particle and Fundamental Physics in Space (Washington D.C., December,
2003