Geodesic
Extension of the Lorentz symmetry up to conformal in the limit of ultrahigh energies
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 149-154 Cet article a éte moissonné depuis la source Math-Net.Ru

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The group-theoretical justification is presented for the original approach by Kirznits and Chechin which allows for the primary protons of ultra-high energy cosmic rays to overcome the energetic limit (about 50 EeV) of Greisen–Zatsepin–Kuzmin remaining in the scope of the usual ideas about the nature of the extra-galactic sources of the cosmic rays. It is shown that the explicit form of the factor deforming the Lorentz invariant in the energy-momentum space may be found on the grounds of the approximate transition from Lorentz symmetry to the conformal values of the Lorentz-factor of the order $10^{10} \div 10^{11}$.
Mots-clés : Lorentz group, conformal group
Keywords: cosmic rays, Greisen–Zatsepin–Kuzmin limit, ultra-high energy. 
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I. A. Vernigora; Yu. G. Rudoi. Extension of the Lorentz symmetry up to conformal in the limit of ultrahigh energies. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 149-154. http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a18/

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