Cosmological Neutrino Signatures for Grand Unification Scale Physics
  Physics beyond the standard model might imply the cosmological production of particles with grand unification scale energies. Nucleons and gamma-rays from such processes are candidates for the cosmic rays observed beyond 100 EeV [10**(20) eV]. Using a new particle propagation code, we calculate the neutrino fluxes predicted by such scenarios if consistency with the observed cosmic ray flux and the universal gamma-ray background at 1-10 GeV is required. Flux levels detectable by proposed km**3 scale neutrino observatories are allowed by these constraints. Bounds on or detection of a neutrino flux above about 1 EeV would allow neutrino astronomy to probe grand unification scale physics. 
Guenter Sigl, Sangjin Lee, David N. Schramm (Univ. of Chicago), and   Paolo Coppi (Yale Univ.)