Abstract
Special Relativity can be based on the whole proper group of both ortho- and antichronous Lorentz transformations, and a clear physical meaning can be given also to antichronous (i.e., nonorthochronous) Lorentz transformations. From the active point of view, the latter requires existence, for any particle, of its antiparticle within a purely relativistic, classical context. From the passive point of view, they give rise to frames “dual” to the ordinary ones, whose properties—here briefly discussed—are linked with the fact that in relativity it is impossible to teach another, far observer (by transmitting only instructions, and no physical objects) our own conventions about the choices right/left, matter/antimatter, and positive/negative time direction. Interesting considerations follow, in particular, by considering—as it is the case—theCPT operation as an actual (even if antichronous) Lorentz transformation.
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References
P. Caldirola and E. Recami, in “Italian Studies in the Philosophy of Science,” M. dalla Chiara ed. (Boston, 1980), p. 249–298; E. Recami, in “A. Einstein 1879–1979: Relativity, Quanta and Cosmology,” F. de Finis and M. Pantaleo eds. (Johnson Rep. Co., New York, 1979), Vol.2, p. 537–597; E. Recami,Found. Phys. 8, 329 (1978); E. Recami and R. Mignani,Riv. Nuovo Cim. 4, 209–290, 398 (1974); W. A. Rodrigues, Jr., Univ. of Campinas report (1981), to appear inthe Proceedings of the 3rd Brasilian Nat. Conference on Fields and Particles (Cambuquira, 1981); See also D. M. Bilaniuk, V. K. Deshpande, and E. C. G. Sudarshan,Am. J. Phys. 30, 718 (1962); H. C. Corber,Nuovo Cimento A29, 415 (1975).
G. D. Maccarrone and E. Recami, (to be submitted toNuovo Cimento).
E. Recami and G. Ziino,Nuovo Cimento A33, 205 (1976); See also R. Mignani and E. Recami,Lett. Nuovo Cimento 18, 5(1977); M. Pavšič, (private communication).
L. Fonda and G. C. Ghirardi, “Symmetry Principles in Quantum Physics” (Academic Press; New York, 1967), Chap. 4; A. Trautmann, in “Lectures on General Relativity: Brandeis Summer Institute on Theor. Phys.”1, (Prentice Hall; Englewood Cliffs, 1965); J. L. Anderson, “Principles of Relativity Physics” (Acad. Press, New York, 1967); P. Caldirola and E. Recami, inItalian Studies in Philosophy of Science, M. dalla Chiara, ed. (Reidel, Boston, 1980), p. 262–266.
W. A. Rodrigues, Jr., See Ref. 1.
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Work partially supported by FAPESP and CNPq (Brazil).
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Recami, E., Rodrigues, W.A. Antiparticles from special Relativity with ortho-chronous and antichronous Lorentz transformations. Found Phys 12, 709–718 (1982). https://doi.org/10.1007/BF00729807
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DOI: https://doi.org/10.1007/BF00729807