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Spontaneous Collapse Models on a Lattice

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Abstract

We present spontaneous collapse models of field theories on a 1+1 null lattice, in which the causal structure of the lattice plays a central role. Issues such as “locality,” “nonlocality,” and superluminal signaling are addressed in the context of the models which have the virtue of extreme simplicity. The formalism of the models is related to that of the consistent histories approach to quantum mechanics.

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References

  1. A. Bassi and G. Ghirardi, quant-ph/0302164.

  2. T. M. Samols, J. Stat. Phys. 80:793(1995) [hep-th/9501117].

    Google Scholar 

  3. G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34:470(1986).

    Google Scholar 

  4. J. Bell, Speakable and Unspeakable in Quantum Mechanics (CUP, Cambridge, 1987), Chap. 22.

    Google Scholar 

  5. L. Bombelli, J.-H. Lee, D. Meyer, and R. Sorkin, Phys. Rev. Lett. 59:521(1987).

    Google Scholar 

  6. C. Destri and H. J. de Vega, Nucl. Phys. B 290:363(1987).

    Google Scholar 

  7. Y. Aharonov and D. Z. Albert, Phys. Rev. D 21:3316(1980).

    Google Scholar 

  8. R. D. Sorkin, gr-qc/9302018.

  9. D. Beckman, D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. D 65:065022(2002) [hep-th/0110205].

    Google Scholar 

  10. F. Dowker, J. Henson, and R. Sorkin, Towards a definition of relativistic causality, in preparation.

  11. A. Kent, Phys. Scripta T76:78(1998) [gr-qc/9809026].

    Google Scholar 

  12. L. Diosi, N. Gisin, J. Halliwell, and I. C. Percival, Phys. Rev. Lett. 74:203(1995) [gr-qc/9403047].

    Google Scholar 

  13. T. A. Brun, Phys. Rev. A 61:042107(2000) [quant-ph/9710021].

    Google Scholar 

  14. T. A. Brun, Am. J. Phys. 70:719(2002).

    Google Scholar 

  15. D. P. Rideout and R. D. Sorkin, Phys. Rev. D 61:024002(2000) [gr-qc/9904062].

    Google Scholar 

  16. S. L. Adler and T. A. Brun, J. Phys. A 34:4797(2001) [quant-ph/0103037].

    Google Scholar 

  17. F. Dowker and I. Herbauts, Simulations of a lattice collapse model, work in progress.

  18. A. Kent, Mod. Phys. Lett. A 4:1839(1989).

    Google Scholar 

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Authors and Affiliations

  1. Blackett Laboratory, Imperial College, Prince Consort Road, London, SW7 2BZ, United Kingdom

    Fay Dowker

  2. Perimeter Institute, 35 King Street North, Waterloo, ON, N2J 2W9, Canada

    Fay Dowker

  3. Department of Mathematics, University of California/San Diego, La Jolla, California, 92093-0112

    Joe Henson

Authors
  1. Fay Dowker
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  2. Joe Henson
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Dowker, F., Henson, J. Spontaneous Collapse Models on a Lattice. Journal of Statistical Physics 115, 1327–1339 (2004). https://doi.org/10.1023/B:JOSS.0000028061.97843.84

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  • DOI: https://doi.org/10.1023/B:JOSS.0000028061.97843.84

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