Geodesic
Internal space-time symmetries according to Einstein, Wigner, Dirac, and Feynman
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 204-214 Cet article a éte moissonné depuis la source Math-Net.Ru

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When Einstein formulated his special relativity in 1905, he established the law of Lorentz transformations for point particles. It is now known that particles have internal space-time structures. Particles, such as photons and electrons, have spin variables. Protons and other hadrons are regarded as bound states of more fundamental particles called quarks which have their internal variables. It is still one of the most outstanding problems whether these internal space-time variables are transformed according to Einstein's law of Lorentz transformations. It is noted that Wigner, Dirac, and Feynman made important contributions to this problem. By integrating their efforts, it is then shown possible to construct a picture of the internal space-time symmetry consistent with Einstein's Lorentz covariance.
Keywords: internal space-time symmetries, Wigner's little groups, Lorentz covariance, Lorentz squeeze, standing waves, bound states, harmonic oscillators. 
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Y. S. Kim; M. E. Noz. Internal space-time symmetries according to Einstein, Wigner, Dirac, and Feynman. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 204-214. http://geodesic.mathdoc.fr/item/UZKU_2011_153_3_a18/

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