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Planck-scale deformation of Lorentz symmetry as a solution to the ultrahigh energy cosmic ray and the TeV-photon paradoxes

Planck-scale deformation of Lorentz symmetry as a solution to the ultrahigh energy cosmic ray and the TeV-photon paradoxes

One of the most puzzling current experimental physics paradoxes is the arrival on Earth of ultrahigh energy cosmic rays (UHECRs) with energies above the Greisen-Zatsepin-Kuzmin threshold $(5\ifmmode\times\else\texttimes\fi{}{10}^{19} \mathrm{eV}).$ Photopion production by cosmic microwave background radiation photons should reduce the energy of these protons below this level. The recent observation of …