Foundations of Physics

, Volume 39, Issue 5, pp 474–485 | Cite as

Semi-Classical Limit and Minimum Decoherence in the Conditional Probability Interpretation of Quantum Mechanics

  • Vincent Corbin
  • Neil J. CornishEmail author


The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock. The use of physical clocks leads to apparent non-unitary and decoherence. Here we show that a close approximation to standard Quantum Mechanics can be recovered from conditional Quantum Mechanics for semi-classical clocks, and we use these clocks to compute the minimum decoherence predicted by the Conditional Probability Interpretation.


Quantum mechanics Decoherence Quantum gravity 


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  1. 1.
    Messiah, A.: Quantum Mechanics. North-Holland, Amsterdam (1962), Sect. VIII.13 zbMATHGoogle Scholar
  2. 2.
    Page, D.N., Wooters, W.K.: Phys. Rev. D 27, 2885 (1983) CrossRefADSGoogle Scholar
  3. 3.
    Gambini, R., Porto, R.A., Pullin, J.: New J. Phys. 6, 45 (2004) CrossRefADSGoogle Scholar
  4. 4.
    Gambini, R., Porto, R.A., Pullin, J.: Braz. J. Phys. 35 (2005) Google Scholar
  5. 5.
    Kuchar, K.V.: In: Proceeding of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, pp. 211–314 (1992) Google Scholar
  6. 6.
    Gambini, R., Porto, R.A., Pullin, J.: arXiv:gr-qc/0302064v1 (2003)
  7. 7.
    Gambini, R., Porto, R.A., Pullin, J.: arXiv:gr-qc/0408050v1 (2004)
  8. 8.
    Dolby, C.E.: arXiv:gr-qc/0406034v1 (2004)
  9. 9.
    Gambini, R., Porto, R.A., Pullin, J., Torterolo, S.: arXiv:0809.4235v1 [gr-qc] (2008)
  10. 10.
    Linblad, G.: Commun. Math. Phys. 48, 119 (1976) CrossRefADSGoogle Scholar
  11. 11.
    Isidro, J.M., Gonzalez-Santander, J.L., de Cordoba, P.F.: arXiv:0804.0169v2 [gr-qc] (2008)
  12. 12.
    Gambini, R., Pullin, J.: Found. Phys. 37, 1074 (2007) zbMATHCrossRefADSMathSciNetGoogle Scholar
  13. 13.
    Ng, Y.J., van Dam, H.: Ann. New York Acad. Sci. 775, 579 (1995) CrossRefADSGoogle Scholar
  14. 14.
    Gambini, R., Porto, R.A., Pullin, J.: Phys. Lett. A 372, 1213 (2008) CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of PhysicsMontana State UniversityBozemanUSA

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