  Using new theoretical tools, which allow to better understand ultra-high
energy (UHE) dynamics, several patterns of Lorentz symmetry violation (LSV) are
studied and compared with experiment. It is claimed that quadratically deformed
relativistic kinematics (QDRK), where the parameter driving LSV varies like the
square of the energy scale, remains the best suited pattern to describe LSV
generated at the Planck scale. Implications of existing data are discussed and
prospects are presented having in mind next-generation experiments.
