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Classical theory of tachyons (special relativity extended to superluminal frames and objects)

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La Rivista del Nuovo Cimento (1971-1977)

An Erratum to this article was published on 01 July 1974

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References

  1. J. J. Thomson:Phil. Mag.,28, 13 (1889).

    Article  Google Scholar 

  2. O. Heaviside:Electrical Papers, Vol.2 (London, 1892), p. 497.

    Google Scholar 

  3. Th. des Coudres:Arch. Néerland Sci. (II),5, 652 (1900).

    Google Scholar 

  4. A. Sommerfeld:K. Akad. Wet. Amsterdam Proc.,8, 346 (1904).

    Google Scholar 

  5. A. Sommerfeld:Nachr. Ges. Wiss. Göttingen, Feb. 25 (1905), p. 201.

  6. A. Einstein:Ann. der Phys.,17, 891 (1905).

    Article  ADS  Google Scholar 

  7. R. G. Cawley:Ann. of Phys.,54, 132 (1969).

    MathSciNet  ADS  Google Scholar 

  8. E. Recami:Accad. Naz. Lincei Rendic. Sci.,49, 77 (Roma, 1970).

    Google Scholar 

  9. M. Baldo, G. Fonte andE. Recami:Lett. Nuovo Cimento,4, 241 (1970).

    Article  Google Scholar 

  10. E. C. G. Sudarshan:Particles travelling faster than light, preprint CPT-166 (Austin, Tex., 1972);Tachyons, preprint NYO-3399-191/SU-1206-191 (Syracuse, N. Y., 1968).

  11. R. C. Tolman:The Theory of Relativity of Motion (Berkeley, Cal., 1917), p. 54. See alsoD. Bohm:The Special Theory of Relativity (New York, N. Y., 1965).

  12. H. Schmidt:Zeits. Phys.,151, 365, 408 (1958). See alsoE. Wigner: ref. [42].

    Article  ADS  Google Scholar 

  13. S. Tanaka:Progr. Theor. Phys. (Kyoto),24, 171 (1960). This theory isnot Lorentz-covariant, nor is (e.g.)Feinberg’s, ref. [16].

    Article  ADS  Google Scholar 

  14. Ya. P. Terletsky:Sov. Phys. Dokl.,5, 782 (1960).

    ADS  Google Scholar 

  15. O. M. P. Bilaniuk, V. K. Deshpande andE. C. G. Sudarshan:Am. Journ. Phys.,30, 718 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  16. G. Feinberg:Phys. Rev.,159, 1089 (1967). See alsoE. Recami:Giornale di Fisica,10, 195 (1969);V. S. Olkhovski andE. Recami:Nuovo Cimento,63 A, 814 (1969).

    Article  ADS  Google Scholar 

  17. T. Alväger, J. Blomqvist andP. Ermann:1963 Annual Report of Nobel Research Institute, Stockholm (unpublished);T. Alväger, P. Ermann andA. Kerek:1965 Annual Report of Nobel Research Institute, Stockholm (unpublished); Nobel Institute preprint (Stockholm, 1966). See alsoB. Maglic et al.:Bull. Am. Phys. Soc.,14, 840 (1969).

  18. L. Parker:Phys. Rev.,188, 2287 (1969). This paper refers to a bidimensional space-time.

    Article  ADS  Google Scholar 

  19. E. Recami andR. Mignani:Lett. Nuovo Cimento,4, 144 (1972). See alsoE. Recami andR. Mignani:Lett. Nuovo Cimento,8, 110 (1973).

    Article  Google Scholar 

  20. See,e.g.,V. Berzi andV. Gorini:Journ. Math. Phys.,10, 1518 (1969);V. Gorini andA. Zecca:Journ. Math. Phys.,11, 2226 (1970), and references therein. The procedures in these papers are to be slightly generalized in order to apply to « extended relativity ».

    Article  MathSciNet  ADS  Google Scholar 

  21. P. Frank andH. Rothe:Ann. der Phys.,34, 825 (1911).

    Article  ADS  Google Scholar 

  22. See alsoF. Severi inCinquant’anni di relatività, edited byM. Pantaleo (Firenze, 1955);

  23. M. Camenzind:Gen. Relat. and Grav.,1, 1 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  24. See,e.g.,A. F. Antippa:Nuovo Cimento,10 A, 389 (1972).

    Article  ADS  Google Scholar 

  25. R. Mignani andE. Recami:Nuovo Cimento,14 A, 169 (1973); Erratum,16 A, 208 (1973). See also ref. [66, 19].

    Article  ADS  Google Scholar 

  26. V. S. Olkhovsky andE. Recami:Visnik Kievskogo D. Universitetu, Seria Fisiki,11, 58 (Kiev, 1970);Lett. Nuovo Cimento,1, 165 (1971). See alsoP. T. Landsberg:Studium Generale,23, 1108 (1970).

    Google Scholar 

  27. R. Mignani, E. Recami andU. Lombardo:Lett. Nuovo Cimento,4, 624 (1972).

    Article  Google Scholar 

  28. K. H. Mariwalla:Am. Journ. Phys.,37, 1281 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  29. See,e.g.,W. Kindler:Special Relativity (Edinburgh, 1966), p. 16.

  30. E. C. Zeeman:Journ. Math. Phys.,5, 490 (1964);G. C. Hegerfeldt:Nuovo Cimento,10 A, 257 (1972);H. J. Borchers andG. C. Hegerfeldt:Comm. Math. Phys.,28, 259 (1972). See alsoD. Korff andZ. Fried:Nuovo Cimento,62 A, 173 (1967);P. Roman andR. M. Santilli:Int. Journ. Theor. Phys.,3, 233 (1970);G. Williams:Int. Journ. Theor. Phys.,7, 415 (1973). All these papers refer only to thesubluminal case. The first quoted paper has been criticized,e.g., in the review article byCamenzind: ref. [21c].

    Article  MathSciNet  ADS  Google Scholar 

  31. See,e.g.,L. Landau andE. Lifshitz:Théorie du champ (Moscow, 1966);

  32. Mécanique (Moscow, 1965), p. 23.

  33. See,e.g.,E. F. Taylor andJ. A. Wheeler:Space-Time Physics (S. Francisco, Cal., 1966);A. Agodi:Lectures in Theoretical Physics (Catania, 1973), unpublished.

  34. R. Goldoni:Lett. Nuovo Cimento,5, 495 (1972);Nuovo Cimento,14 A, 501, 527 (1973);G. Alagar Ramanujam andN. Namasivayam:Lett. Nuovo Cimento,6, 245 (1973). See also ref. [21c].

    Article  Google Scholar 

  35. V. Gorini:Comm. Math. Phys.,21, 150 (1971);V. Berzi andV. Gorini:Ann. Inst. Henri Poincaré,16, 1 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  36. A. A. Blasi, F. Gallone, A. Zecca andV. Gorini:Nuovo Cimento,10 A, 19 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  37. J. L. Anderson:Principles of Relativity Physics (New York, N. Y., 1967).

  38. Ref. [29], p. 83.

  39. R. Mignani andE. Recami:Lett. Nuovo Cimento,7, 388 (1973). See alsoP. Caldirola:Istituzioni di fisica teorica (Milano, 1966), p. 196.

    Article  Google Scholar 

  40. See,e.g.,J. J. Sakurai:Invariance Principles and Elementary Particles (Princeton, N. J., 1964), p. 137;

  41. V. Berestesky, E. M. Lifshitz andP. aevsky:Relativistic Quantum Theory (London, 1971), p. 34. See also

  42. E. C. G. Sudarshan:Proc. Ind. Acad. Sci.,67 (5 A), 284 (1968).

    Google Scholar 

  43. E. C. G. Sudarshan:Ark. f. Phys.,39 (40), 585 (1969).

    Google Scholar 

  44. E. C. G. Sudarshan: inSymposia on Theoretical Physics and Mathematics, Vol.10 (New York, N. Y., 1970), p. 129.

    Google Scholar 

  45. See,e.g.,P. Caldirola: ref. [36].

    Article  Google Scholar 

  46. See,e.g.,A. Agodi: ref. [30]. See alsoE. Fabri:Nuovo Cimento,14, 1130 (1959).

  47. See,e.g.,E. Wigner:Ann. of Math.,40, 149 (1939);Invariant quantum mechanical equations of motions, inLectures at the Summer School of Trieste (1964);Yu. M. Shirokov:Sov. Phys. JETP,6, 929 (1958);M. Mukunda:Photons and tachyons with continuous spin, TATA preprint (Bombay, 1969). See also ref. [45], andP. Winternitz: preprint RPP/T/3, Rutherford Laboratory (August 1969);K. B. Wolf:Nucl. Phys.,11 B, 159 (1969);J. J. Aghassi, P. Roman andR. M. Santilli:Phys. Rev. D,1, 2753 (1970);M. Noga:Phys. Rev. D,2, 304 (1970). In the first mentioned paper, byWigner, consideration of negative squared mass appeared for the first time.

    Article  MathSciNet  Google Scholar 

  48. See,e.g.,O. M. Bilaniuk andE. C. G. Sudarshan:Phys. Today,22, (No. 5), 43 (May 1969).

    Article  ADS  Google Scholar 

  49. Ya. P. Terletsky:Paradoxes in the Theory of Relativity (New York, N. Y., 1968), English translation of the 1966 Moscow edition.

  50. See,e.g.,F. T. Hadjioannou:Nuovo Cimento,44 A, 185 (1966). See alsoG. Lindblad: Stockholm preprint (1969);A. Chakrabarti:Journ. Math. Phys.,12, 1813 (1971).

    Article  ADS  Google Scholar 

  51. E. Recami:Giornale di Fisica,10, 195 (1969).

    Google Scholar 

  52. V. S. Olkhovsky andE. Recami:Nuovo Cimento,63 A, 814 (1969).

    Article  ADS  Google Scholar 

  53. See,e.g.,A. M. Gleeson,M. G. Gundzik,E. C. G. Sudarshan andA. Pagnamenta:Particles and Nuclei,1, 1 (1970).

    Google Scholar 

  54. See,e.g.,A. Białas,A. Eskreys,W. Kittel,S. Pokorski,J. K. Touminiemi andL. Van Hove:Nucl. Phys.,11 B, 479 (1969);D. R. O. Morrison:Conference Talk (Kiev, 1970), report CERN/D. Ph. II/Phys/70-64.

    ADS  Google Scholar 

  55. E. Recami andR. Mignani:Lett. Nuovo Cimento,8, 780 (1973). See alsoR. Skinner:Relativity (Waltham, Mass., 1969).

    Article  Google Scholar 

  56. P. A. M. Dirac:Proc. Roy. Soc., A126, 360 (1930).

    Article  ADS  Google Scholar 

  57. E. C. G. Stückelberg:Helv. Phys. Acta,14, 32 L, 588 (1941).

    Google Scholar 

  58. R. P. Feynman:Phys. Rev.,76, 749, 769 (1949).

    Article  MathSciNet  ADS  Google Scholar 

  59. M. E. Arons andE. C. G. Sudarshan:Phys. Rev.,173, 1622 (1968).

    Article  ADS  Google Scholar 

  60. J. Dhar andE. C. G. Sudarshan:Phys. Rev.,174, 1808 (1968). See alsoK. Kamoi andS. Kamefuchi:Progr. Theor. Phys.,45, 1646 (1971);M. Camenzind: ref. [21c].

    Article  ADS  Google Scholar 

  61. M. Glück:Nuovo Cimento,62 A, 791 (1969).

    Article  ADS  Google Scholar 

  62. E. C. G. Sudarshan:Proc. Ind. Acad. Sci.,69 (3 A), 133 (1969);1968 Proceedings of the VIII Nobel Symposium (Elementary Particle Theory), edited byN. Svartholm (New York and Stockholm, 1970), p. 335. See alsoR. Mignani andE. Recami:Crossing relations derived from (extended) relativity, preprint IFTUC-PP/392 (Catania, Nov. 1973); and ref. [74].

    Google Scholar 

  63. M. Baldo andE. Recami:Lett. Nuovo Cimento,2, 643 (1969).

    Article  Google Scholar 

  64. T. D. Lee andC. N. Yang:Phys. Rev.,105, 1671 (1957). See also ref. [37c].

    Article  MathSciNet  ADS  Google Scholar 

  65. E. Recami: in preparation. See also

  66. V. S. Olkhovsky andE. Recami:Nuovo Cimento,53 A, 610 (1968);

    Article  ADS  Google Scholar 

  67. H. P. Dürr: inProperties of Matter under Unusual Conditions, edited byH. Mark andS. Fernbach (New York, N. Y., 1966), p. 301.

  68. See,e.g.,W. Pauli:Relativitätstheorie (Leipzig, 1921).

  69. See,e.g., ref. [37b], Chap. VII.

  70. See,e.g.,A. Messiah:Quantum Mechanics, Vol.1, Chap. X (Amsterdam, 1965).

  71. See,e.g.,R. Hagedorn:Relativistic Kinematics (New York, N. Y., 1963);G. Chew:S-Matrix Theory of Strong Interactions (New York, N. Y., 1962);P. Roman:Introduction to Quantum Field Theory (New York, N. Y., 1969).

  72. See alsoD. A. Atkinson: preprint (Tekn. Technol. Univ., 1973).

  73. E. Recami:I tachioni, inEnciclopedia Mondadori della Scienza e della Tecnica, EST, Annuario 73 (Milano, 1973), p. 85.

  74. P. L. Csonka:Nucl. Phys.,21 B, 436 (1970). See alsoY. Aharonov, P. G. Bergmann andJ. L. Lebowitz:Phys. Rev.,134, B 1410 (1964);F. J. Belinfante: preprint (Lafayette, Ind., 1972).

    Article  ADS  Google Scholar 

  75. This erroneus belief has been held,—followingR. C. Tolman: ref. [11], andD. Bohm: ref. [11]—e.g., inW. B. Rolnick:Phys. Rev.,183, 1105 (1969);R. Fox, C. G. Kuper andS. G. Lipson:Nature,223, 597 (1969);G. A. Benford, D. L. Book andW. A. Newcomb:Phys. Rev. D,2, 263 (1970);D. J. Thoules:Nature,224, 506 (1969);R. Fox, C. G. Kuper andS. G. Lipson:Proc. Roy. Soc., A316, 515 (1970);J. Strnad:Fortsch. Phys.,18, 237 (1970);J. Ehlers: private communication toSudarshan, ref. [39];W. B. Rolnick:Phys. Rev. D,6, 2300 (1972); see finally ref. [72].E.g., Rolnick’s arguments were confuted in ref. [67] before they appeared.

  76. O. M. Bilaniuk andE. C. G. Sudarshan:Nature,223, 386 (1969);Phys. Today,22 (No. 12), 47 (Dec. 1969);23 (No. 10), 79 (Oct. 1970). See also ref. [39, 66, 67].

    Article  ADS  Google Scholar 

  77. R. G. Root andJ. S. Trefil:Lett. Nuovo Cimento,3, 412 (1970). See alsoY. Aharonov: private communication, and ref. [66].

    Article  Google Scholar 

  78. J. A. Parmentola andD. D. H. Yee:Phys. Rev. D,4, 1912 (1971). See also ref. [39, 66, 67, 69].

    Article  ADS  Google Scholar 

  79. F. A. E. Pirani:Phys. Rev. D,1, 3224 (1970).

    Article  ADS  Google Scholar 

  80. Ya. P. Terletsky:Sov. Phys. Dokl.,5, 782 (1961);Dynamical and Statistical Laws of Physics (in Russian) (Moscow, 1969). See alsoSov. Phys. Dokl.,5, 812 (1961).

    ADS  Google Scholar 

  81. P. L. Csonka:Phys. Rev.,180, 1266 (1969). See alsoS. Coleman: inSubnuclear Phenomena, edited byA. Zichichi (New York, N. Y., 1970); and ref. [67].

    Article  ADS  Google Scholar 

  82. J. A. Wheeler andR. P. Feynman:Rev. Mod. Phys.,21, 424 (1949);L. S. Schulman:Am. Journ. Phys.,39, 481 (1971). See also ref. [79, 74].

    MathSciNet  ADS  Google Scholar 

  83. J. A. Wheeler andR. P. Feynman:Rev. Mod. Phys.,17, 157 (1949);A. Schild:Phys. Rev.,131, 2762 (1963). See also ref. [74].

    Article  MathSciNet  ADS  Google Scholar 

  84. R. Newton:Phys. Rev.,162, 1274 (1967);Science,167, 1569 (1970).

    Article  ADS  Google Scholar 

  85. E. Recami:Lett. Nuovo Cimento,4, 73 (1970). See also ref. [8, 46, 47].

    Article  Google Scholar 

  86. E. Recami:Possible causality effects of antiparticles, and comments on tachyons, virtual particles, resonances, Report IFUM-088/S.M. (Milano, Aug. 1968). See also ref. [46, 47].

  87. V. Narlikar:Proc. Roy. Soc., A270, 553 (1963);F. Hoyle andV. Narlikar:Proc. Roy. Soc., A277, 1 (1964);J. E. Hogarth:Proc. Roy. Soc., A267, 365 (1962).

    MathSciNet  ADS  Google Scholar 

  88. S. N. Yezhov: unpublished (Kiev, 1972). We thank Dr.S. N. Yezhov for having carried out these calculations.

  89. I. Ferretti andM. Verde:Atti Acc. Scienze Torino (1966), p. 318;M. Verde: unpublished. See alsoS. Szegö: preprint KFKI-71-39 (Institute for Physics, Budapest, 1971); and ref. [45].

  90. See,e.g.,A. Dar:Phys. Rev. Lett.,13, 91 (1964);C. E. Robinson andA. Dar:Nucl. Phys.,6 B, 62 (1968);

    Article  ADS  Google Scholar 

  91. V. Berzi:Suppl. Nuovo Cimento,3, 100 (1965);

    Google Scholar 

  92. P. P. Antich andE. Recami: private communication (Milano, 1967).

  93. See,e.g.,W. Finkelburg:Structure of Matter (Berlin, 1964).

  94. E. C. G. Sudarshan:Phys. Rev. D,1, 2478 (1970).

    MathSciNet  ADS  Google Scholar 

  95. A. Białas, G. Bassompierre, A. Eskreys, Y. Goldschmidt-Clermont, A. Grant, V. P. Henri, B. Jongejans, D. Linglin, F. Muller, J. M. Perreau, H. Piotrowska, J. K. Tuominiemi, G. Wolf, W. De Baere, J. Debaisieux, E. De Wolf, P. Dufour, F. Grard, P. Herquet, J. Heughebaert, L. Pape, P. Peeters andF. Verbeure:Nucl. Phys.,16 B, 178 (1970);R. Hönecker, B. Junkmann, R. Schulte, R. Steinberg, N. Tsanos, J. Klugow, S. Nowak, E. Ryseck, M. Walter, K. Böckmann, H. Drevermann, K. Sternberger, B. Wagini, W. Johnssen, H. Böttcher, V. T. Cocconi, J. D. Hansen, G. Kellner, D. R. O. Morrison, K. Paler, A. Mihul, V. Moskalev, T. Coghen, O. Czyzewski, K. Eskreys, J. Łoskiewicz, J. Zaorska, S. Brandt, O. Braun, V. Lüth, T. P. Shah, H. Wenninger, M. Bardadin-Otwinowska, T. Hofmokl, L. Michejda, S. Otwinowski, P. Sosnowski, M. Sezptycka, W. Wójcik andA. Wróblewski:Nucl. Phys.,13 B, 571 (1969);I. F. Ginzburg andV. G. Serbo:Sov. Journ. Nucl. Phys.,9, 507 (1969);B. C. Yunn:Nuovo Cimento,14 A, 621 (1973).

    ADS  Google Scholar 

  96. A. I. Bugrij, L. L. Jenkovsky andN. A. Kobylinsky:Lett. Nuovo Cimento,5, 389 (1972). See also ref. [45].

    Article  Google Scholar 

  97. A. M. Gleeson, M. G. Gundzik, E. C. G. Sudarshan andA. Pagnamenta:Phys. Rev. D,6, 807 (1972). See also ref. [48].

    Article  ADS  Google Scholar 

  98. E. van der Spuy:Phys. Rev. D,7, 1106 (1973);Nuovo Cimento,3 A, 822 (1971).

    Article  ADS  Google Scholar 

  99. See,e.g.,J. L. Anderson: ref. [34], Chapt. 1, 2, 5.2, 8.10, 10.6, and references therein.

  100. F. J. Belinfante:Phys. Rev.,89, 914 (1953);M. Fierz:Helv. Phys. Acta,12, 3 (1939). See alsoAnderson: ref. [34], Chap. 6 and 8.10.

    Google Scholar 

  101. S. N. Gupta:Phys. Rev.,96, 1683 (1954);R. M. Kraichnan:Phys. Rev.,98, 1118 (1955).

    Article  MathSciNet  ADS  Google Scholar 

  102. See,e.g.,J. Weber:General Relativity and Gravitational Waves (New York, N. Y., 1961);V. de Sabbata:L’elettrotecnica,57 (9), 1 (Milano, 1970);

  103. R. O. Hettel andT. M. Helliwell:Nuovo Cimento,13 B, 82 (1973); see alsoR. W. Fuller andJ. A. Wheeler:Phys. Rev.,128, 919 (1962).

    Article  ADS  Google Scholar 

  104. See,e.g.,L. D. Landau andE. M. Lifshitz:Electrodynamics of Continuous Media (Oxford, 1960), p. 357. See also ref. [95].

  105. J. V. Jelley:Čerenkov Radiation and its Applications (London, 1958).

  106. R. Mignani andE. Recami:Lett. Nuovo Cimento,7, 388 (1973);9, 362 (1974). See also ref. [97, 98].

    Article  Google Scholar 

  107. M. Glück:Nuovo Cimento,1 A, 467 (1971). This paper seems to us to be correct only in thephilosophy underlying its part II (about Čerenkov radiations).

    Article  ADS  Google Scholar 

  108. C. C. Chiang: preprint CPT-117 (Austin, Tex., 1971).

  109. T. Alväger andM. N. Kreisler:Phys. Rev.,171, 1357 (1968).

    Article  ADS  Google Scholar 

  110. M. B. Davies, M. N. Kreisler andT. Alväger:Phys. Rev.,183, 1132 (1969).

    Article  ADS  Google Scholar 

  111. P. V. Ramana Murthy:Lett. Nuovo Cimento,1, 908 (1971).

    Article  Google Scholar 

  112. D. F. Bartlett andM. D. Lahana:Phys. Rev. D,6, 1817 (1972).

    Article  ADS  Google Scholar 

  113. R. Mignani andE. Recami:Possibility of Superluminal sources, and their Doppler effect, preprint PP/376 (Catania, May 1973);Nuovo Cimento, B (to appear).

  114. C. Gregory:Nature Phys. Sc.,239, 56 (1972).

    Article  ADS  Google Scholar 

  115. D. Weingarten:Ann. of Phys.,76, 510 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  116. R. Mignani andE. Recami:Lett. Nuovo Cimento,9, 367 (1974);E. Recami andR. Mignani:Lett. Nuovo Cimento,9, 479 (1974).

    Article  Google Scholar 

  117. J. M. Leinaas:Nuovo Cimento,15 A, 740 (1973).

    Article  ADS  Google Scholar 

  118. E. Amaldi: inOld and New Problems in Elementary Particles, edited byG. Puppi (New York, N. Y., 1968), p. 1.

  119. P. A. M. Dirac:Proc. Roy. Soc., A133, 60 (1931);Phys. Rev.,74, 817 (1948).

    Article  ADS  Google Scholar 

  120. N. Cabibbo andE. Ferrari:Nuovo Cimento,23, 1147 (1962), and references therein.

    Article  MathSciNet  Google Scholar 

  121. J. Schwinger:Phys. Rev.,144, 1087 (1966), and references therein.

    Article  MathSciNet  ADS  Google Scholar 

  122. E. Amaldi andN. Cabibbo: inAspects of Quantum Theory, edited byA. Salam andE. P. Wigner (Cambridge, 1972). See also ref. [107].

  123. E. C. G. Sudarshan andN. Mukunda:Phys. Rev. D,1, 571 (1968).

    Article  MathSciNet  ADS  Google Scholar 

  124. G. Ecker:Ann. of Phys.,58, 303 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  125. S. A. Bludman andM. A. Ruderman:Phys. Rev. D,1, 3243 (1970).

    Article  ADS  Google Scholar 

  126. B. Schroer:Phys. Rev. D,3, 1764 (1971).

    Article  ADS  Google Scholar 

  127. L. Streit andJ. R. Klauder:Tachyon quantization, preprint (Syracuse, N. Y., 1972).

  128. S. Tanaka: ref. [13];R. Perrin:Phys. Rev.,140, B 199 (1965);I. Ferretti andM. Verde: ref. [82];F. T. Hadjioannou: ref. [45];D. Korff andZ. Fried: ref. [28];E. Recami: ref. [79];C. Fronsdal:Phys. Rev.,171, 1811 (1968);182, 1564 (1969);185, 1768 (1969);P. N. Dobson: preprint UH-511-33-68 (Honolulu, Hawaii, 1968);Y. Aharonov, A. Komar andL. Susskind:Phys. Rev.,182, 1400 (1969);M. Glück: ref. [56];Phys. Rev.,183, 1514 (1969);A. M. Gleeson andE. C. G. Sudarshan:Phys. Rev. D,1, 474 (1970);E. C. G. Sudarshan: preprint CPT-41 (Austin, Tex., 1970); ref. [85];S. N. Biswas, T. Pradhan andE. C. G. Sudarshan: preprint CPT-70 (Austin, Tex., 1970);I. Saavedra:Lett. Nuovo Cimento,4, 873 (1970);E. Marx:Int. Journ. Theor. Phys.,3, 299 (1970);K. C. Tripathy:Phys. Rev. D,2, 2955 (1970);K. Szegö: ref. [82];J. E. Murphy:Phys. Rev. D,6, 426–1808 (1972);7, 1260 (1973);A. M. Gleeson, M. G. Gundzik, E. C. G. Su, Darshan andA. Pagnamenta: ref. [88];A. I. Bugrij, L. L. Jenkovsky andN. A. Kobylinsky: ref. [87];R. Goldoni:Nuovo Cimento,14 A, 527 (1973);E. van der Spuy: ref. [89].

    Article  ADS  Google Scholar 

  129. E. Majorana:Nuovo Cimento,9, 335 (1932).

    Article  Google Scholar 

  130. D. Tz. Stoyanov andI. T. Todorov:Journ. Math. Phys.,9, 2146 (1968), and references therein.

    Article  ADS  Google Scholar 

  131. O. W. Greenberg:Journ. Math. Phys.,3, 859 (1962);G. F. dell’Antonio:Journ. Math. Phys.,2, 759 (1961).

    Article  ADS  Google Scholar 

  132. J. D. Edmonds jr.:Lett. Nuovo Cimento,5, 572 (1972).

    Article  Google Scholar 

  133. See,e.g.,M. Halpern andS. Malin: Report (Colgate University, Hamilton, N. Y., 1969);L. Fantappiè:Rendic. Lincei,12, 285 (1952);17, 158 (1954);G. Arcidiacono:Relatività e Cosmologia (Roma, 1973);Rendic. Lincei,20, 463 (1956);P. Jordan:Schwerkraft und Weltall, Chap. 3 (Braunschweig, 1952);G. Ludwig:Fortschritte der projectiven Relativitätstheorie (Braunschweig, 1951).

  134. A. Schild: private communication toSudarshan, ref. [39].

    Google Scholar 

  135. J. S. Danburg andG. R. Kalbfleisch:Phys. Rev. D,5, 1575 (1972).

    Article  ADS  Google Scholar 

  136. J. S. Danburg, G. R. Kalbfleisch, S. R. Borenstein, R. C. Strand, V. Vanderburg, J. W. Chapman andJ. Lys:Phys. Rev. D,4, 53 (1971).

    Article  ADS  Google Scholar 

  137. C. Baltay, G. Feinberg, N. Yeh andR. Linsker:Phys. Rev. D,1, 759 (1970).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Istituto di Fisica Teorica dell’Università, Catania

    E. Recami

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Italy

    E. Recami

  3. Centro Siciliano di Fisica Nucleare e di Struttura della Materia, Catania

    E. Recami

  4. Istituto di Fisica dell’Università, Roma

    R. Mignani

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  1. E. Recami
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  2. R. Mignani
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02748094.

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Recami, E., Mignani, R. Classical theory of tachyons (special relativity extended to superluminal frames and objects). Riv. Nuovo Cim. 4, 209–290 (1974). https://doi.org/10.1007/BF02747655

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