Quantum-Gravity phenomenology and high energy particle propagation
  Quantum-gravity effects may introduce relevant consequences for the propagation and interaction of high energy cosmic rays particles. Assuming the space-time foamy structure results in an intrinsic uncertainty of energy and momentum of particles, we show how low energy (under GZK) observations can provide strong constraints on the role of the fluctuating space-time structure. 
R. Aloisio, P. Blasi, A. Galante, P.L. Ghia, A.F. Grillo