Journal for General Philosophy of Science

, Volume 35, Issue 2, pp 283–312 | Cite as

Forms of Quantum Nonseparability and Related Philosophical Consequences

Article

Abstract

Standard quantum mechanics unquestionably violates the separability principle that classical physics (be it point-like analytic, statistical, or field-theoretic) accustomed us to consider as valid. In this paper, quantum nonseparability is viewed as a consequence of the Hilbert-space quantum mechanical formalism, avoiding thus any direct recourse to the ramifications of Kochen-Specker’s argument or Bell’s inequality. Depending on the mode of assignment of states to physical systems – unit state vectors versus non-idempotent density operators – we distinguish between strong/relational and weak/deconstructional forms of quantum nonseparability. The origin of the latter is traced down and discussed at length, whereas its relation to the all important concept of potentiality in forming a coherent picture of the puzzling entangled interconnections among spatially separated systems is also considered. Finally, certain philosophical consequences of quantum non-separability concerning the nature of quantum objects, the question of realism in quantum mechanics, and possible limitations in revealing the actual character of physical reality in its entirety are explored.

Key words

entanglement nonseparability potentiality quantum holism scientific realism 

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References

  1. Allison, H. E.: 1983, Kant’s Transcendental Idealism, Yale University Press, New Haven.Google Scholar
  2. Amann, A. and Atmanspacher, H.: 1998, ‘Fluctuations in the Dynamics of Single Quantum Systems’, Stud. Hist. Phil. Mod. Phys. 29, 151–182.CrossRefGoogle Scholar
  3. Aspect, A., Grainger, G. and Roger, G.: 1982, ‘Experimental Test of Bell’s Inequalities Using Time-Varying Analyzers’, Physical Review Letters 49, 1804–1807.CrossRefGoogle Scholar
  4. Atmanspacher, H.: 1994, ‘Objectification as an Endo-Exo Transition’, in H. Atmanspacher and G. J. Dalenoort (eds), Inside Versus Outside, Springer, Berlin, pp. 15–32.CrossRefGoogle Scholar
  5. Bell, J.: 1964, ‘On the Einstein-Podolsky-Rosen Paradox’, Physics 1, 195–200.Google Scholar
  6. Bohr, N.: 1963, Essays 1958–1962 on Atomic Physics and Human Knowledge, Wiley, New York.Google Scholar
  7. Butterfield, J.: 1989, ‘A Space-Time Approach to the Bell Inequality’, in J. Cushing and E. McMullin (eds.), Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem, Notre Dame, University of Notre Dame Press, pp. 114–144.Google Scholar
  8. Chiara, d. M. L.: 1977, ‘Logical Self Reference, Set Theoretical Paradoxes and the Measurement Problem in Quantum Mechanics’, Journal of Philosophical Logic 6, 331–347.CrossRefGoogle Scholar
  9. Einstein, A.: 1971, The Born-Einstein Letters, Macmillan, New York.Google Scholar
  10. Espagnat, B. De: 1995, Veiled Reality, Addison-Wesley, Reading.Google Scholar
  11. Espagnat, B. De: 1998, ‘Quantum Theory: A Pointer to an Independent Reality’, quant-ph/9802046.Google Scholar
  12. Fock, V.: 1957, ‘On the Interpretation of Quantum Mechanics’, Czechoslovak Journal of Physics 7, 643–656.CrossRefGoogle Scholar
  13. Gisin, N.: 1991, ‘Bell’s Inequality Holds for All Non-product States’, Physics Letters A 154, 201–202.CrossRefGoogle Scholar
  14. Healey, R.: 1991, ‘Holism and Nonseparability’, The Journal of Philosophy LXXXVIII, 393–321.CrossRefGoogle Scholar
  15. Healey, R.: 1994, ‘Nonseparable Processes and Causal Explanation’, Studies in History and Philosophy of Science 25: 337–374.CrossRefGoogle Scholar
  16. Heisenberg, W.: 1958, Physics and Philosophy, Harper & Row, New York.Google Scholar
  17. Heisenberg, W.: 1971, Physics and Beyond, Harper & Row, New York.Google Scholar
  18. Howard, D.: 1989, ‘Holism, Separability and the Metaphysical Implications of the Bell Experiments’, in J. Cushing and E. McMullin (eds.), Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem, Notre Dame, Indiana, University of Notre Dame Press, pp. 224–253.Google Scholar
  19. Howard, D.: 1997, ‘Space-Time and Separability: Problems of Identity and Individuation in Fundamental Physics’, in R. Cohen, M. Horne and J. Stachel (eds.), Potentiality, Entanglement and Passion-at-a Distance, Kluwer Academic Publishers, Dordrecht, pp. 113–141.CrossRefGoogle Scholar
  20. Hughston, L., Jozsa, R. and Wooters, W.: 1993, ‘A Complete Classification of Quantum Ensembles Having a Given Density Matrix’, Physics Letters A, 183, 14–18.CrossRefGoogle Scholar
  21. Jarrett, J. P.: 1984, ‘On the Physical Significance of the Locality Conditions in the Bell Arguments’, Noûs 18, 569–589.CrossRefGoogle Scholar
  22. Karakostas, V.: 1994, ‘Limitations on Stochastic Localization Models of State Vector Reduction’, International Journal of Theoretical Physics 33, 1673–1687.CrossRefGoogle Scholar
  23. Karakostas, V. and Dickson, M.: 1995, ‘Decoherence in Unorthodox Formulations of Quantum Mechanics’, Synthese 10, 61–97.CrossRefGoogle Scholar
  24. Karakostas, V.: 2003, ‘The Nature of Physical Reality in the Light of Quantum Nonsepar-ability’, Abstracts of 12th International Congress of Logic, Methodology and Philosophy of Science, Oviedo, Spain, pp. 329–330.Google Scholar
  25. Karakostas, V.: 2004, ‘Nonseparability, Potentiality, and the Nature of Quantum Objects’, submitted to Philosophy of Science.Google Scholar
  26. Kochen, S. and Specker, E.: 1967, ‘The Problem of Hidden Variables in Quantum Mechanics’, Journal of Mathematics and Mechanics 17, 59–87.Google Scholar
  27. Landsman, N.: 1995, ‘Observation and Superselection in Quantum Mechanics’, Studies in History and Philosophy of Modern Physics 26, 45–73.CrossRefGoogle Scholar
  28. Margenau, H.: 1950, The Nature of Physical Reality, McGraw Hill, New York.Google Scholar
  29. Mermin, D.: 1998, ‘What is Quantum Mechanics Trying to Tell Us?’, American Journal of Physics 66, 753–767.CrossRefGoogle Scholar
  30. Neumann, von J.: 1955, Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, NJ.Google Scholar
  31. Pauli, W.: 1994, Writings on Physics and Philosophy, C. P. Enz and K. von Meyenn (eds.), translated by R. Schlapp, Springer-Verlag, Heidelberg.Google Scholar
  32. Peres, A. and Zurek, W. H. : 1982, ‘Is Quantum Theory Universally Valid?’, American Journal of Physics 50, 807–810.CrossRefGoogle Scholar
  33. Popescu, S. and Rohrlich, D.: 1992, ‘Which States Violate Bell’s Inequality Maximally?’, Physics Letters A 169, 411–414.CrossRefGoogle Scholar
  34. Popper, K. R.: 1980, The Logic of Scientific Discovery, Hutchinson, London.Google Scholar
  35. Popper, K. R.: 1990, A World of Propensities, Thoemmes, Bristol.Google Scholar
  36. Primas, H.: 1993, ‘The Cartesian Cut, the Heisenberg Cut, and Disentangled Observers’, in K. V. Laurikainen and C. Montonen (eds), Symposia on the Foundations of Modern Physics, World Scientific, Singapore, pp. 245–269.Google Scholar
  37. Primas, H.: 1994, ‘Endo- and Exotheories of Matter’, in H. Atmanspacher and G. J. Dalenoort (eds.), Inside Versus Outside, Springer, Berlin, pp. 163–193.CrossRefGoogle Scholar
  38. Primas, H.: 1998, ‘Emergence in Exact Natural Sciences’, Acta Polytechnica Scandinavica Ma 91, 83–98.Google Scholar
  39. Redhead, M.: 1995, From Physics to Metaphysics, Cambridge University Press, Cambridge.CrossRefGoogle Scholar
  40. Rovelli, C.: 1996, ‘Relational Quantum Mechanics’, International Journal of Theoretical Physics 35, 1637–1678.CrossRefGoogle Scholar
  41. Scheibe, E.: 1973, The Logical Analysis of Quantum Mechanics, Pergamon Press, Oxford.Google Scholar
  42. Scheibe, E.: 1991, ‘Substances, Physical Systems, and Quantum Mechanics’, in G. Schurz and G.J.W. Dorn (eds.), Advances in Scientific Philosophy. Essays in Honour of Paul Weingartner, Rodopi, Amsterdam, pp. 215–229.Google Scholar
  43. Scherer, H. and Busch, P.: 1993, ‘Problem of Signal Transmission via Quantum Correlations and Einstein Incompleteness in Quantum Mechanics’, Physical Review A 47, 1647–1651.CrossRefGoogle Scholar
  44. Schrödinger, E.: 1935a, ‘The Present Situation in Quantum Mechanics’, Naturwis-senschaften 22, 807–812, 823–828, 844–849. Reprinted in J. Wheeler and W. Zurek (eds.), 1983, Quantum Theory and Measurement, Princeton University Press, Princeton, pp. 152–167.Google Scholar
  45. Schrödinger, E.: 1935b, ‘Discussion of Probability Relations Between Separated Systems’, Proceedings of the Cambridge Philosophical Society 31, 555–563.CrossRefGoogle Scholar
  46. Shimony, A.: 1986, ‘Events and Processes in the Quantum World’, in R. Penrose and C. Isham (eds.), Quantum Concepts in Space and Time, Oxford University Press, Oxford, pp. 182–203.Google Scholar
  47. Shimony, A.: 1990, ‘An Exposition of Bell’s Theorem’, in A. Miller (ed.), Sixty-Two Years of Uncertainty, Plenum Press, New York, pp. 33–43.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.Department of Philosophy and History of ScienceUniversity of AthensAthensGreece

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