Summary
We briefly revisit the introduction of generalized Lorentz transformations (GLT) in four dimensions, by writing them in a new form which satisfies the requested group-theoretical properties. The new GLTs, in the particular case of boosts, reduce to the ones by Mignani and Recami (the latter, in fact, forming a group only in the case of collinear boosts). Some other aspects are briefly clarified.
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References
L. Parker:Phys. Rev.,188, 2287 (1969).
V. S. Olkhovsky andE. Recami:Visn. Kiivs. Univ. Ser. Viz.,11, 58 (1970);About Lorentz transformations and tachyons, preprint ITF/70 (Kiev, 1970);Lett. Nuovo Cimento,1, 165 (1971);E. Recami and R. Mignani:Lett. Nuovo Cimento, 4, 144 (1972);R. Mignani, E. Recami and U. Lombardo:Lett. Nuovo Cimento,4, 624 (1972). See alsoM. Pavšič:The extended special theory of relativity, preprint, University of Ljubljana (1971), unpublished;A. F. Antippa: preprint, Université de Quebéc (1970), unpublished.
R. Mignani andE. Recami:Nuovo Cimento A,14, 169 (1973).A. F. Antippa:Nuovo Cimento A,10, 389 (1972).
R. Mignani andE. Recami:Lett. Nuovo Cimento,16, 449 (1976).
V. F. Perepelista: Reports ITEP-100 and ITEP-165, Inst. Theor. Exp. Phys. (Moscow, 1980).
V. Gorini:Commun. Math. Phys.,21, 150 (1971)
V. S. Olkhovsky andE. Recami: inVisn. Kiivs. Univ. Ser. Fiz.,11, 58 (1970); preprint ITF/70, Ukrainian Academy of Science (Kiev, 1970);Lett. Nuovo Cimenlo,1, 165 (1971)
C. Somigliana:Rend. Accad. Naz. Lincei (Roma),31, 53 (1922).
E. Recami andR. Mignani:Lett. Nuovo Cimento,4, 144 (1972);R. Mignani, E. Recami and U. Lombardo:Lett. Nuovo Cimento,4, 624 (1972).C. Somigliana:Rend. Accad. Naz. Lincei (Roma),31, 53 (1922);M. Pavšič: preprint, Ljubljana University (1971), unpublished.
R. Mignani andE. Recami:Nuovo Cimento A,14, 169 (1973);E. Recami and R. Mignani:Lett. Nuovo Cimento,8, 110 (1972);Riv. Nuovo Cimento,4, 209, 398 (1974), and many subsequent papers. See alsoH. C. Corben:Nuovo Cimento A,29, 415 (1975).
E. Recami (Editor):Tachyons, Monopoles, and Related Topics (Amsterdam, 1978);E. Recami: inA. Einstein 1879–1979: Relativity, Quanta and Cosmology, Chapt. 16, edited byF. de Finis and M. Pantaleo, Vol.2 (New York, N. Y., 1979), p. 1021;P. Caldirola and E. Recami: inItalian Studies in the Philosophy of Science, edited byM. della Chiara (Boston, Mass., 1980), p. 249.
G. D. Maccarrone and E. Recami: preprint PP/693, Catania University (1982), to be published.
C. Møller:The Theory of Relativity (Oxford, 1962), p. 234.
R. Mignani andE. Recami:Lett. Nuovo Cimento,9, 357 (1974).See alsoK. T. Shah:Lett. Nuovo Cimento,18, 156 (1977).
E. Recami andW. A. Rodrigues:Found. Phys.,12, 709 (1982).
B. Recami andG. D. Maccarrone:Lett. Nuovo Cimento,28, 151 (1980);P. Caldirola, D. G. Maccarrone and E. Recami:Lett. Nuovo Cimento,29, 241 (1980);G. D. Maccarrone and E. Recami: inProceedings Einstein Centenary Symposium (Nagpur, 1981), p. 123;A. O. Barut, G. D. Maccarrone and E. Recami: to be published.
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Work partially supported by M.P.I, and C.N.R.
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Maccarrone, G.D., Recami, E. Revisiting the superluminal Lorentz transformations and their group-theoretical properties. Lett. Nuovo Cimento 34, 251–256 (1982). https://doi.org/10.1007/BF02817120
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DOI: https://doi.org/10.1007/BF02817120