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The Histories Interpretation: Stability Instead of Consistency?

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Foundations of Physics Letters

Abstract

Using a reformulation of conventional results in decoherence theory, a condition is proposed for singling out a distinguished class of histories which includes those which use the “pointer basis” of Zurek.

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REFERENCES

  1. E. G. Beltrametti and G. Cassinelli, The Logic of Quantum Mechanics (Addison Wesley, Reading, 1981).

    MATH  Google Scholar 

  2. C. J. S. Clarke, “Consciousness and non-hierarchical physics,” in The Physical Nature of Consciousness, P. van Looke, ed. (Benjamins, Amsterdam, 2000).

    Google Scholar 

  3. M. Donald, “A mathematical characterisation of the physical structure of observers,” Found. Phys. 25, 529-571 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  4. F. Dowker and A. Kent, “On the consistent-histories approach to quantum mechanics,” J. Stat. Phys. 82 1575 (1996).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh, eds. Decoherence and the Appearance of a Classical World (Springer, Berlin, 1996).

    MATH  Google Scholar 

  6. J. J. Halliwell, “A review of the decoherent histories approach to quantum mechanics,” Ann. N.Y. Acad. Sci. 755, 726-740 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  7. J. J. Halliwell, “Approximate decoherence of histories and 't Hooft's deterministic quantum theory,” quant-ph/0011103.

  8. M.-W. Ho, The Rainbow and the Worm, 2nd edn. (World Scientific, Singapore, 1998).

    Book  Google Scholar 

  9. C. J. Isham, N. Linden, K. Savvida, and S. Schreckenberg, “Continuous time and consistent histories,” J. Math. Phys. 39, 1818-34 (1999).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. R. Omnès, Understanding Quantum Mechanics (University Press, Princeton, 1999).

    MATH  Google Scholar 

  11. R. Omnès, Quantum Philosophy (University Press, Princeton, 1999).

    MATH  Google Scholar 

  12. M. Tegmark, Phys. Rev. E 61(4), 4194-4206 (2000).

    Article  ADS  Google Scholar 

  13. M. Velmans, Understanding Consciousness (Routledge, London, 2000).

    Book  Google Scholar 

  14. H. D. Zeh, “The problem of conscious observation in quantum mechanical description,” Found. Phys. Lett. 13, 221-233 (2000).

    Article  MathSciNet  Google Scholar 

  15. W. H. Zurek, Phys. Rev. D, 24, 1516 (1981).

    Article  ADS  MathSciNet  Google Scholar 

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Clarke, C.J.S. The Histories Interpretation: Stability Instead of Consistency?. Found Phys Lett 14, 179–186 (2001). https://doi.org/10.1023/A:1012333705200

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  • DOI: https://doi.org/10.1023/A:1012333705200

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