Skip to main content
Log in

Einstein-Podolsky-Rosen constraints on quantum action at a distance: The Sutherland paradox

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Assuming that future experiments confirm Aspect's discovery of nonlocal interactions between quantum pairs of correlated particles, we analyze the constraints imposed by the EPR reasoning on the said interactions. It is then shown that the nonlocal relativistic quantum potential approach plainly satisfies the Einstein causality criteria as well as the energy-momentum conservation in individual microprocesses. Furthermore, this approach bypasses a new causal paradox for timelike separated EPR measurements deduced by Sutherland in the frame of an approach by means of space-time zigzags with advanced potentials. It is finally demonstrated that this inherent quantum causal direct interaction establishes permanent EPR correlations which are always restricted to spacelike separations and are instantaneous only in the center-of-mass rest frame of the two-particle system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Google Scholar 

  2. A. Aspect, P. Grangier, and R. Roger,Phys. Rev. Lett. 47, 460 (1981); A Aspect, J. Dalibard, and R. Roger,Phys. Rev. Lett. 49, 1804 (1982).

    Google Scholar 

  3. F. Selleri,Phys. Lett. A 108, 197 (1985); T. W. Marshall, E. Santos, and F. Selleri,Phys. Lett 98, 5 (1983); A. Garuccio and F. Selleri,Phys. Lett. A 103, 99 (1984).

    Google Scholar 

  4. R. I. Sutherland,Nuovo Cimento B 88, 114 (1985).

    Google Scholar 

  5. O. Costa de Beauregard,Compt. Rend. Acad. Sci. (Paris) 236, 1632 (1953);Nuovo Cimento B 42, 41 (1977);Nuovo Cimento B 51, 267 (1979).

    Google Scholar 

  6. H. Stapp,Nuovo Cimento B 29, 270 (1975); W. C. Davidon,Nuovo Cimento B 36, 34 (1976); J. Rayski,Found. Phys. 9, 217 (1979); J. G. Cramer,Phys. Rev. D. 22, 362 (1980); C. W. Rietdijk,Found. Phys. 8, 615 (1978);11, 783 (1981); R. I. Sutherland,Int. J. Theor. Phys. 22, 377 (1983).

    Google Scholar 

  7. O. Costa de Beauregard, inFoundations of Quantum Mechanics in the Light of New Technology, S. Kamefuchiet al., eds. (Physical Society of Japan, Tokyo, 1983).

    Google Scholar 

  8. O. Costa de Beauregard,Ann. Fond. L. de Broglie 6, 329 (1981).

    Google Scholar 

  9. O. Costa de Beauregard, “Causality as identified with conditional probability and quantal nonseparability,” inMicrophysical Reality and Quantum Formalism, F. Selleri, G. Tarozzi, and A. van der Merwe, eds. (Reidel, Dordrecht, 1987).

    Google Scholar 

  10. O. Costa de Beauregard,Found. Phys. 15, 871 (1985).

    Google Scholar 

  11. O. Costa de Beauregard,Nuovo Cimento Lett. 29, 551 (1980).

    Google Scholar 

  12. O. Costa de Beauregard,Nuovo Cimento Lett. 25, 91 (1979).

    Google Scholar 

  13. O. Costa de Beauregard, “Comments on a recent article by R. I. Sutherland,” IHP preprint, December 1985.

  14. D. Bohm and B. J. Hiley,Found Phys. 14, 255 (1984).

    Google Scholar 

  15. M. Cini,Nuovo Cimento B 73, 27 (1983).

    Google Scholar 

  16. F. Selleri and J. P. Vigier,Nuovo Cimento Lett. 29, 7 (1980).

    Google Scholar 

  17. E. Recami, “Classical Tachyons and Possible Applications: A Review,” Ist. Naz. Fis. Nuc./AE-84/8, 1984.

  18. G. Källen,Elementary Particle Physics (Addison-Wesley, Reading, Massachusetts, 1969).

    Google Scholar 

  19. G. Lüders,Z. Phys. 133, 325 (1952).

    Google Scholar 

  20. E. C. Zeemann,J. Math. Phys. 5, 490 (1964).

    Google Scholar 

  21. D. Bohm,Phys. Rev. 85, 168, 180 (1952).

    Google Scholar 

  22. J. P. Vigier,Astr. Nachr. 303, 55 (1982).

    Google Scholar 

  23. N. Cufaro-Petroni, Ph. Gueret, A. Kyprianidis, and J. P. Vigier,Phys. Rev. D 31, 3157 (1985) and references quoted therein.

    Google Scholar 

  24. N. Cufaro-Petroni and J. P. Vigier,Phys. Lett. A 73, 289 (1979).

    Google Scholar 

  25. A. Kyprianidis,Phys. Lett. A 111, 111 (1985).

    Google Scholar 

  26. A. Kyprianidis, D. Sardelis, and J. P. Vigier,Phys. Lett. A 100, 228 (1984); N. Cufaro-Petroni, A. Kyprianidis, Z. Maric, D. Sardelis, and J. P. Vigier,Phys. Lett. A 101, 4 (1984).

    Google Scholar 

  27. N. Cufaro-Petroni, C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier,Phys. Lett. A 106, 368 (1984); P. R. Holland, A. Kyprianidis, and J. P. Vigier,Phys. Lett. A 107, 376 (1984). Ph. Gueret, P. R. Holland. A. Kyprianidis, and J. P. Vigier,Phys. Lett. A 107, 379 (1985).

    Google Scholar 

  28. N. Cufaro-Petroni, C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier,Lett. Nuovo Cimento 42, 285 (1985).

    Google Scholar 

  29. N. Cufaro-Petroni, Ph. Droz-Vincent, and J. P. Vigier,Lett. Nuovo Cimento 31, 415 (1981).

    Google Scholar 

  30. Ph. Droz-Vincent,Phys. Rev. D 19, 702 (1979) and references quoted therein.

    Google Scholar 

  31. A. Garuccio, A. Kyprianidis, and J. P. Vigier,Nuovo Cimento B 83, 135 (1984).

    Google Scholar 

  32. C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier, “Trajectories and spin vector orientations in the causal interpretation of the Pauli equation,” IHP preprint, December 1985.

  33. C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier, “Spin superposition in neutron interferometry,” IHP preprint, December 1985.

  34. N. Cufaro-Petroni, A. Garuccio, F. Selleri, and J. P. Vigier,C. R. Acad. Sci. (Paris),290, 111 (1980).

    Google Scholar 

  35. E. P. Wigner,Z. Phys. 133, 101 (1952).

    Google Scholar 

  36. H. Araki and M. Yanase, Phys. Rev.96, 208 (1954).

    Google Scholar 

  37. J. Summhammer, G. Badurek, and U. Kischko,Phys. Lett. A 90, 110 (1982); G. Badurek, H. Rauch, J. Summhammer, U. Kischko, and A. Zeilinger,J. Phys. A 16, 1133 (1983); J. Summhammer, G. Badurek, H. Rauch, U. Kischkho, and A. Zeilinger,Phys. Rev. A 27, 2523 (1983); G. Badurek, H. Rauch, and J. Summhammer,Phys. Rev. Lett. 51, 1015 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cufaro-Petroni, N., Dewdney, C., Holland, P.R. et al. Einstein-Podolsky-Rosen constraints on quantum action at a distance: The Sutherland paradox. Found Phys 17, 759–773 (1987). https://doi.org/10.1007/BF00733265

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00733265

Keywords

Navigation