  In this work, we investigate the impact of assuming the polarization of the
Earth's outer core on the propagation of neutrinos that cross the all the
Earth. We taking into account the spin-dependent structure functions to
describe the polarized neutrino-nucleon cross-section, and also on the neutrino
absorption while it crosses all of the Earth. We found that adding spin
information and simultaneously assuming polarization of Earth's outer core
impacts the probability of neutrino absorption in the energy range of 10 - 100
TeV and for upward neutrino direction. However, the magnitude of the effect is
small and should be comparable with the magnitude of the errors associated with
the IceCube neutrino data.
