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Yayın Complex and real rays in three dimensional Minkowski space(IEEE, 2002) Hasanoğlu, ElmanA new approach to the theory of complex rays is proposed. It is shown that the Minkowski space is more appropriate for describing these rays than the usual, Euclidian spaces. Some illustrative examples are represented.Yayın Alpha head on collision with a fixed gold nucleus, taking into account the relativistic rest mass variation as implied by mass-energy equivalence(Polish Acad Sciences Inst Physics, 2014-02) Yarman, Nuh Tolga; Arık, Metin; Kholmetskii, Alexander; Altıntaş, Azmi Ali; Özaydın, FatihWe reformulate the Rutherford scattering of alpha particle for a head on collision, taking into account the rest mass variation of the particle, as implied by the energy conservation law. Our relativistic reformulation (which includes the energy conservation) constitutes a new example for the breakdown of the Lorentz invariance. Briefly speaking, even at rest or during the whole scattering process, the distance between the alpha particle and the gold nucleus is not invariant but depends on the frame of the observer attached to either object. According to our relativistic reformulation, we also provide a new set of Lorentz transformations.
