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Dirac's aether in relativistic quantum mechanics

  • Part I. Invited Papers Dedicated To Paul Adrien Maurice Dirac
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Abstract

The introduction by Dirac of a new aether model based on a stochastic covariant distribution of subquantum motions (corresponding to a “vacuum state” alive with fluctuations and randomness) is discussed with respect to the present experimental and theoretical discussion of nonlocality in EPR situations. It is shown (1) that one can deduce the de Broglie waves as real collective Markov processes on the top of Dirac's aether; (2) that the quantum potential associated with this aether's modification, by the presence of EPR photon pairs, yields a relativistic causal action at a distance which interprets the superluminal correlations recently established by Aspect et al.; (3) that the existence of the Einstein-de Broglie photon model (deduced from Dirac's aether) implies experimental predictions which conflict with the Copenhagen interpretation in certain specific testable interference experiments.

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References

  1. P. A. M. Dirac,The Principles of Quantum Mechanics (Oxford, London, 1958).

  2. A. Aspect, P. Grangier, and G. Roger,Phys. Rev. Lett. 47, 460 (1981);Phys. Rev. Lett. 49, 91 (1982).

    Google Scholar 

  3. Ph. Droz-Vincent,Ann. Inst. H. Poincaré,27, 407 (1977);Phys. Rev. D19, 702 (1979);Ann. Inst. H. Poincaré,33, 377 (1980).

    Google Scholar 

  4. H. Yukawa,Proceding International Conference of Elementary Particles (Kyoto, 1965).

  5. D. Bohm and J. P. Vigier,Phys. Rev. 96, 208 (1954);Phys. Rev. 109, 1882 (1958).

    Google Scholar 

  6. C. Fenech, M. Moles, and J. P. Vigier,Lett. N. Cim. 24, 56 (1979).

    Google Scholar 

  7. F. Halbwachs, J. M. Souriau, and J. P. Vigier,J. Phys. Rad. 22, 26 (1981).

    Google Scholar 

  8. Ph. Guéret, M. Moles, P. Merat, and J. P. Vigier,Lett. Math. Phys. 3, 47 (1979); N. Cufaro Petroni, Z. Maric, Dj. Zivanovic, and J. P. Vigier,J. Phys. A 14, 501 (1981); N. Cufaro Petroni, Z. Maric, Dj. Zivanovic, and J. P. Vigier,Lett. N. Cim. 29, 565 (1980).

    Google Scholar 

  9. P. A. M. Dirac,Nature 168, 906 (1951).

    Google Scholar 

  10. D. Bohm,Phys. Rev. 85, 166, 180 (1952);Phys. Rev. 89, 458 (1953).

    Google Scholar 

  11. L. de Broglie,La thermodynamique de la particule isolée (Gauthier-Villars, Paris, 1964).

    Google Scholar 

  12. K. P. Sinha, C. Sivaram, and E. C. G. Sudarshan,Found. Phys. 6, 65 (1976);Found. Phys. 6, 717 (1976);Found. Phys. 8, 823 (1978).

    Google Scholar 

  13. J. P. Vigier,Astron. Nachr. 303, 55 (1982); N. Cufaro Petroni and J. P. Vigier,Causal Action at a Distance and a new Possible Deduction of Quantum Mechanics from General Relativity: The Many-Body Problem,” Preprint (Institut H. Poincaré, Paris, 1982).

    Google Scholar 

  14. J. P. Vigier,Lett. N. Cim. 29, 467 (1980).

    Google Scholar 

  15. Ph. Guéret and J. P. Vigier,Nonlinear Klein-Gordon Equation Carrying a Non-dispersive Soliton-like Singularity,” Preprint (Institut H. Poincaré, Paris, 1982); Ph. Guéret and J. P. Vigier,Soliton Model of Einsteinian Nadelstrahlung in Real Physical Maxwell Waves,” Preprint (Institut H. Poincaré, Paris, 1982); Ph. Guéret and J. P. Vigier,De Broglie's Wave-Particle Duality in the Stochastic Interpretation of Quantum Mechanics: A Testable Physical Assumption, Preprint (Institut H. Poincaré, Paris, 1982).

    Google Scholar 

  16. J. S. Bell,Physics 1, 195 (1965);Rev. Mod. Phys. 38, 447 (1966); J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt,Phys. Rev. Lett. 23, 880 (1969).

    Google Scholar 

  17. E. Nelson,Phys. Rev. 150, 1079 (1966); L. de la Peña Auerbach,J. Math. Phys. 10, 1620 (1969); L. de la Peña Auerbach and A. M. Cetto,Found. Phys. 5, 355 (1975).

    Google Scholar 

  18. W. Lehr and J. Park,J. Math. Phys. 18, 1235 (1977); J. P. Vigier,Lett. N. Cim. 24, 258, 265 (1979); F. Guerra and P. Ruggiero,Lett. N. Cim. 23, 529 (1979); N. Cufaro Petroni and J. P. Vigier,Int. J. Th. Phys. 18, 807 (1979); Kh. Namsrai,Found. Phys. 10, 353, 731 (1980).

    Google Scholar 

  19. D. Bohm, R. Schiller, and J. Tiomno,Suppl. N. Cim. 1, 48, 67 (1955); L. de la Peña Auerbach,J. Math. Phys. 12, 453 (1971); N. Cufaro Petroni and J. P. Vigier,Phys. Lett. A73, 289 (1979);Phys. Lett. A81, 12 (1981); “Stochastic Interpretation of Relativistic Quantum Equations,” inOld and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology: Essays in Honor of Wolfgang Yourgrau, Alwyn van der Merwe, ed. (Plenum, New York, 1983).

    Google Scholar 

  20. T. H. Boyer,Phys. Rev. D11, 790, 809 (1975); L. de la Peña Auerbach and A. M. Cetto, Found. Phys.8, 191 (1978);Int. J. Quant. Chem. 12, Suppl. 1, 23 (1978); P. Claverie and S. Diner,Int. J. Quant. Chem. 12, suppl. 1, 41 (1978); L. de la Peña Auerbach and A. Jàuregui,Found. Phys. 12, 441 (1982).

    Google Scholar 

  21. N. CufaroPetroni and J. P. Vigier,Random Motions at the Velocity of Light and Relativistic Quantum Mechanics,” Preprint (Instituto di Fisica, Bari, 1982).

    Google Scholar 

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

    Google Scholar 

  23. J. D. Bjorken and S. D. Drell,Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964); E. P. Wigner,Phys. Rev. 40, 749 (1932); J. E. Moyal,Proc. Camb. Phil. Soc. 45, 99 (1949); P. A. M. Dirac,Proc. Roy. Soc. A 180, 1 (1942); W. Pauli,Rev. Mod. Phys. 15, 175 (1943); R. P. Feynman,Rev. Mod. Phys. 20, 367 (1948);Int. J. Theor. Phys. 21, 467 (1982).

    Google Scholar 

  24. J. P. Vigier and Ya. P. Terletskij,Sov. Phys. J.E.T.P. 13, 356 (1961).

    Google Scholar 

  25. A. Avez,Interprétation Probabiliste d'équations aux derivées Partielles Hyperboliques Normales,” Preprint (Journées Relativistes, Paris, 1976).

    Google Scholar 

  26. A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).

    Google Scholar 

  27. D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, N.J., 1951); D. Bohm and Y. Aharonov,Phys. Rev. 108, 1070 (1957).

    Google Scholar 

  28. C. Møller,The Theory of Relativity (Oxford, London, 1972).

    Google Scholar 

  29. V. Augelli, A. Garuccio, and F. Selleri,Ann. Fond. L. de Broglie 1, 154 (1976).

    Google Scholar 

  30. S. J. Freedman and F. Clauser,Phys. Rev. Lett. 28, 938 (1972); R. A. Holt and F. M. Pipkin, Harvard, Preprint (1974), unpublished; G. Faraci, S. Gutkowsky, S. Notarrigo, and A. R. Pennisi,Lett. N. Cim. 9, 667 (1974); L. Kasday, J. Ullman, and C. S. Wu,N. Cim. B25, 663 (1975); J. F. Clauser,Phys. Rev. Lett. 36, 1223 (1976); E. S. Fry and R. C. Thompson,Phys. Rev. Lett. 37, 465 (1976); A. R. Wilson, J. Lowe, and D. K. Butt,J. Phys. G2, 613 (1976); M. Bruno, M. D'Agostino, and C. Maroni,N. Cim. B40, 42 (1977).

    Google Scholar 

  31. A. Aspect,Phys. Lett. A67, 117 (1975);Progr. Sci. Cult. 1, 439 (1976);Phys. Rev. D14, 1944 (1978); F. Falciglia, G. laci, and V. A. Rapisarda,Lett. N. Cim. 26, 327 (1979); L. Pappalardo and V. A. Rapisarda,Lett. N. Cim. 29, 221 (1980); A. Garuccio and V. A. Rapisarda,N. Cim. A65, 269 (1981).

    Google Scholar 

  32. D. Bohm and B. Hiley,Found. Phys. 5, 93 (1975); C. Philippidis and D. Bohm,The Aharonov-Bohm Effect and the Quantum Potential, preprint (Birbeck College, London, 1982).

    Google Scholar 

  33. N. Cufaro Petroni and J. P. Vigier,Lett. N. Cim. 25, 151 (1979).

    Google Scholar 

  34. L. de Broglie,La Mechanique Ondulatoire du Photon (Gauthier-Villars, Paris, 1940); L. Bass and E. Schrödinger,Proc. Roy. Soc. Lond. A232, 1 (1955); S. Deser,Ann. Inst. H. Poincaré 16, 79 (1972); M. Moles and J. P. Vigier,C. R. Acad. Sci. Paris B276, 697 (1973).

    Google Scholar 

  35. F. Halbwachs, F. Piperno, and J. P. Vigier,Lett. N. Cim. 33, 311 (1982).

    Google Scholar 

  36. A. Garuccio and J. P. Vigier,Lett. N. Cim. 30, 57 (1981).

    Google Scholar 

  37. L. D. Landau and E. M. Lifshitz,Teoria Quantistica Relativistica (Editori Riuniti, Roma, 1978).

    Google Scholar 

  38. N. Cufaro Petroni and J. P. Vigier,Lett. N. Cim. 26, 149 (1979);Phys. Lett. A88, 272 (1982); Kh. Namsrai,J. Phys. A14, 1307 (1981);Sov. J. Part. Nucl. 12, 449 (1981).

    Google Scholar 

  39. N. Cufaro Petroni, Ph. Droz-Vincent, and J. P. Vigier,Lett. N. Cim. 31, 415 (1981).

    Google Scholar 

  40. F. Halbwachs,Théorie Relativiste des Fluides à Spin (Gauthier-Villars, Paris, 1960).

    Google Scholar 

  41. N. Cufaro Petroni and J. P. Vigier,Causal Action at a Distance Interpretation of the Aspect-Rapisarda Experiment, Preprint (Institut H. Poincare, Paris, 1982).

    Google Scholar 

  42. A. Garuccio, V. A. Rapisarda, and J. P. Vigier,Lett. N. Cim. 32, 451 (1981).

    Google Scholar 

  43. O. Costa de Beauregard,N. Cim. B42, 41 (1977);Ann. Fond. L. de Broglie 2, 231 (1977);Phys. Lett. A67, 171 (1978);N. Cim. B51, 267 (1979);N. Cim. Lett. 17, 551 (1980).

    Google Scholar 

  44. N. Bohr,Phys. Rev. 48, 696 (1935).

    Google Scholar 

  45. M. Cini, M. De Maria, G. Mattioli, and F. Nicolo,Found. Phys. 9, 479 (1979).

    Google Scholar 

  46. F. Selleri,Lett. N. Cim. 1, 908 (1969); F. Selleri and J. P. Vigier, inOld and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology: Essays in Honor of Wolfgan Yourgrau, Alwyn van der Merwe, ed. (Plenum, New York, 1983); A. Garuccio and J. P. Vigier,Found. Phys. 10, 797 (1980); A. Garuccio, K. Popper, and J. P. Vigier,Phys. Lett. A86, 397 (1981); A. Garuccio, V. A. Rapisarda, and J. P. Vigier,Phys. Lett. A90, 17 (1982); J. and M. Andrade e Silva,C. R. Acad. Sci. Paris,290, 501 (1980).

    Google Scholar 

  47. A. Einstein,Ann. der Phys. 17, 132 (1905);Ann. der Phys. 18, 639 (1905);Zeit. Phys. 18, 121 (1917).

    Google Scholar 

  48. L. de Broglie,Ann. Phys. 3, 22 (1925).

    Google Scholar 

  49. B. Cagnac, G. Grynberg, and F. Biraben,Jour. de Phys. 34, 845 (1973); G. Grynberg, F. Biraben, M. Bassini, and B. Cagnac,Phys. Rev. Lett. 37, 283 (1976).

    Google Scholar 

  50. A. Gozzini, inProceedings of the Symposium on Wave-Particle Dualism (Reidel, Dordrecht, 1983).

    Google Scholar 

  51. F. Selleri,Ann. Fond. L. de Broglie,7, 45 (1982).

    Google Scholar 

  52. L. Mandel and K. Dajenais,Phys. Rev. Lett. 18, 2217 (1978).

    Google Scholar 

  53. J. Andrade e Silva, F. Selleri, and J. P. Vigier,Some Possible Experiments on Quantum Waves, preprint (Institut H. Poincaré, Paris, 1982).

    Google Scholar 

  54. R. L. Pfleegor and L. Mandel,Phys. Rev. 159, 1084 (1967).

    Google Scholar 

  55. L. de Broglie and J. Andrade e Silva,Phys. Rev. 172, 1284 (1968).

    Google Scholar 

  56. E. P. Wigner,Symmetries and Reflections (MIT press, Mass., 1971).

    Google Scholar 

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Petroni, N.C., Vigier, J.P. Dirac's aether in relativistic quantum mechanics. Found Phys 13, 253–286 (1983). https://doi.org/10.1007/BF01889484

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