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, no. 2 (2011), pp. 149-154

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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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     author = {I. A. Vernigora and Yu. G. Rudoi},
     title = {Extension of the {Lorentz} symmetry up to conformal in the limit of ultrahigh energies},
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     pages = {149--154},
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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, no. 2 (2011), pp. 149-154. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a18/