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The Tolman-Reggeantitelephone paradox: Its solution by tachyon mechanics

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Lettere al Nuovo Cimento (1971-1985)

Summary

The possibility of solving (at least « in micropliysics ») all the ordinary causal paradoxes devised for tachyons is not yet widely recognized; on the contrary, the effectiveness of the Stuckelberg-Feynman « switching principle » is often misunderstood. We want, therefore, to show in detail and rigorously how to solve the oldest causal paradox, originally proposed by Tolman, which is the kernel of so many further tachyon paradoxes. The key to the solution is a careful application oftachyon kinematics, which can be unambiguously derived from special relativity. A systematic, thorough analysis of all tachyon paradoxes is going to appear elsewhere.

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References

  1. O. M. B. Bilaniuk, V. K. Deshpande andE. C. G. Sudarshan:Am. J. Phys.,30, 718 (1962);R. G. Root andJ. S. Trefil:Lett. Nuovo Cimento,3, 412 (1970);J. A. Parmentola andD. D. H. Yee:Phys. Rev. D,4, 1912 (1971);E. Reoami andR. Mignani:Lett. Nuovo Gimento,7, 388 (1973);E. Recami: inEnciclopedia EST- Mondadori, Annuario 73, edited byE. Macorini (Mondadori, Milano, 1973), p. 85;E. Recami andR. Mignani:Riv. Nuovo Cimento,4, 209, 398 (1974);E. Recami:Lett. Nuovo Cimento,18, 501 (1977);Found. Phys.,8, 329 (1978);G. D. Maccarrone andB. Recami:Found. Phys.,10, 949 (1980);A. Garuccio,G. D. Maccarrone,E. Recami andJ. P. Vigier:Lett. Nuovo Cimento,27, 60 (1980);P. Caldirola andE. Recami: inItalian Studies in the Philosophy of Science, edited byM. Dalla Chiara (Reidel, Boston, Mass., 1980), p. 249.

    Article  MathSciNet  ADS  Google Scholar 

  2. E. Recami:Classical tachyons and possible applications: a review, Report INFN/AE-84/8 (Frascati, August 1984), to appear inRiv. Nuovo Cimento.

  3. E. C. G. Stückelberg:Helv. Phys. Ada,14, 321, 588 (1941);R. P. Fetnman:Phys. Rev.,76, 749, 769 (1949).

    Google Scholar 

  4. E. Recami andR. Mignani:Riv. Nuovo Cimento,4, 209 398 (1974);E. Recami (editor):Tachyons, monopoles, and Related Topics (North-Holland, Amsterdam, 1978);E. Recami: inAstrofizika, Kvanti i Teorya Otnositelnosti, edited byF. I. Fedorov (MIR, Moscow, 1982), p. 53;E. Recami: inRelativity, Quanta and Cosmology, Vol.2, Chapt. 16, edited byF. De Finis andM. Pantaleo (Johnson Rep. Co., New York, N. Y., 1979), p. 537.

    Article  Google Scholar 

  5. M. Pavšič andB. Recami:Lett. Nuovo Cimento,34, 357 (1982);35, 354 (1982);E. Recami andW. A. Rodrigues Jr.:Found. Phys.,12, 709 (1982).

    Article  MathSciNet  Google Scholar 

  6. C. Schwartz:Phys. Rev. D,25, 356 (1982).

    Article  ADS  Google Scholar 

  7. R. Girard andL. Marchildon:Found. Phys.,14, 535 (1984).L. Marchildon,A. F. Antippa andA. E. Everett’s considerations appeared inPhys. Rev. D,27, 1740 (1983).

    Article  ADS  Google Scholar 

  8. R. C. Tolman:The Theory of Relativity of Motion (Berkeley, Cal., 1917), p. 54.

  9. T. Regge:Cronache dell’universo (Boringhieri, Torino, 1981), p. 21.D. Bohm:The Special Theory of Relativity (New York, N. Y., 1965).

  10. E. Recami:Tachyon kinematics and causality: a systematic, thorough analysis, Internal Report No. 308 (IMECC, State University of Campinas, S.P., Brazil, March 1985), in press also as INFN Report (Frascati, Italy): to be published.

  11. E. Recami andW. A. Rodrigues Jr.:A modeltheory for tachyons in two dimensions, Report INFN/AE-85/2 (Frascati, March 1985), to appear inGravitational Radiation and Relativity: vol. 3of the Sir Arthur Eddington Centenary Symposium Proceedings, edited byT. M. Karade (World Scient. Publ. Co., Singapore);E. Recami,A. Castellino,G. D. Maccarrone andM. Rodonò:Considerations about the apparent Superluminal expansions in astrophysics, preprint PP/761 (Phys. Dept., State University of Catania, Italy, May 1984), in press also as INFN Report (Frascati): to bo published;E. Recami andW. A. Rodrigues Jr.:Tachyons: may they have a role in elementary particle physicsS, Internal Report No. 316 (IMECC, State University of Campinas, S.P., Brazil, June 1985), to appear in vol.15 ofProgress in Particle and Nuclear Physics («Nucleus- Nucleus Collisions from the Coulomb Barrier up to the Quark- Gluon Plasma »), edited byA. Faessler (Pergamon Press, Oxford, U.K.). See alsoE. Recami andE. Giannetto:Lett. Nuovo Cimento,43, 267 (1985);P. Smrz:Lett. Nuovo Cimento,41, 327 (1984);A. Barut,G. D. Maccarrone andE. Recami:Nuovo Cimento A,71, 509 (1982);E. Reoami andG. D. Maccarrone:Lett. Nuovo Cimento,37, 345 (1983);G. D. Maccarrone,M. Pavšič andE. Recami:Nuovo Cimento B,73, 91 (1983);G. D. Maccarrone andE. Recami:Found. Phys.,14, 367 (1984);Lett. Nuovo Cimento,34, 251 (1982).

  12. G. D. Maccarrone andE. Recami:Nuovo Cimento A,57, 85 (1980).

    Article  ADS  Google Scholar 

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Author notes

  1. E. Recami

    Present address: Dipartimento di Fisica, Università Statale di Catania, Catania, Italia

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  1. Deptartment of Applied Mathematies, State University of Campinas, Campinas, S.P., Brazil

    E. Recami

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  1. E. Recami
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Work supported in part by CIME/IILA and INFN.

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Recami, E. The Tolman-Reggeantitelephone paradox: Its solution by tachyon mechanics. Lett. Nuovo Cimento 44, 587–593 (1985). https://doi.org/10.1007/BF02746767

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