Copenhagen Interpretation Can Survive the Upgraded Schrödinger’s cat Gedankenexperiment

Abstract

Recently, Frauchiger and Renner proposed a Gedankenexperiment, which was claimed to be able to prove that quantum theory cannot consistently describe the use of itself. Here we show that the conclusions of Frauchiger and Renner actually came from their incorrect description of some quantum states. With the correct description there will be no inconsistent results, no matter which quantum interpretation theory is used. Especially, the Copenhagen interpretation can satisfy all the three assumptions (C), (Q), and (S) of Frauchiger and Renner simultaneously, thus it has no problem consistently describing the use of itself.

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

References

  1. 1.

    Frauchiger, D., Renner, R.: Quantum theory cannot consistently describe the use of itself. Nat. Commun. 9, 3711 (2018)

    ADS  Article  Google Scholar 

  2. 2.

    Castelvecchi, D.: Reimagining of Schrödinger’s cat breaks quantum mechanics—and stumps physicists. Nature 561, 446 (2018)

    ADS  Article  Google Scholar 

  3. 3.

    Pusey, M.F.: An inconsistent friend. Nat. Phys. 14, 977 (2018)

    Article  Google Scholar 

  4. 4.

    Brukner, C.: A no-go theorem for observer-independent facts. Entropy 20, 350 (2018)

    ADS  MathSciNet  Article  Google Scholar 

  5. 5.

    Chen, L., Zhang, Y. -Q.: Comments on Quantum theory cannot consistently describe the use of itself. arXiv:1810.01080 (2018)

  6. 6.

    Relaño, A.: Decoherence allows quantum theory to describe the use of itself. arXiv:1810.07065 (2018)

  7. 7.

    Drezet, A.: About Wigner Friend’s and Hardy’s paradox in a Bohmian approach: a comment of “Quantum theory cannot consistently describe the use of itself”. Int. J. Quantum Found. 5, 80 (2019). arXiv:1810.10917 (2018)

  8. 8.

    Yang, J.M.: Consistent descriptions of quantum measurement. arXiv:1812.00985 (2018)

  9. 9.

    Sudbery, A.: The hidden assumptions of Frauchiger and Renner. arXiv:1905.13248 (2019)

  10. 10.

    Lerner, P.B.: Comment on Frauchiger and Renner paper (Nat. Commun. 9, 3711 (2018)): The problem of stopping times. arXiv:1906.02333 (2019)

  11. 11.

    Howard, D.: Who invented the “Copenhagen interpretation”? A study in mythology. Philos. Sci. 71, 669 (2004)

    MathSciNet  Article  Google Scholar 

  12. 12.

    Rosenfeld, L.: The measuring process in quantum mechanics. In: Cohen, R., Stachel, J. (eds.) Selected Papers of Léon Rosenfeld, p. 536. Reidel, Dordrecht (1979)

    Google Scholar 

  13. 13.

    Stapp, H.P.: The Copenhagen interpretation. Am. J. Phys. 40, 1098 (1972)

    ADS  Article  Google Scholar 

  14. 14.

    Penrose, R.: On Gravity’s role in quantum state reduction. Gen. Relat. Gravit. 28, 581 (1996)

    ADS  MathSciNet  Article  Google Scholar 

  15. 15.

    Henderson, J.R.: Classes of Copenhagen interpretations: mechanisms of collapse as typologically determinative. Stud. Hist. Philos. Sci. B 41, 1 (2010)

    MathSciNet  Article  Google Scholar 

  16. 16.

    Carroll, S.: Why probability in quantum mechanics is given by the wave function squared. Available online at: http://www.preposterousuniverse.com/blog/2014/07/24/why-probability-in-quantum-mechanics-is-given-by-the-wave-function-squared/ (2014)

  17. 17.

    He, G.P.: Quantum theory has no problem consistently describing the use of itself. arXiv:1810.06858v1 (2018)

  18. 18.

    Deutsch, D.: Quantum theory as an universal physical theory. Int. J. Theor. Phys. 24, 1 (1985)

    MathSciNet  Article  Google Scholar 

  19. 19.

    Rovelli, C.: Relational quantum mechanics. Int. J. Theor. Phys. 35, 1 (1996)

    MathSciNet  Article  Google Scholar 

Download references

Acknowledgements

We thank the anonymous reviewer for sharing the ideas that leads to Sect. 4. The work was supported in part by Guangdong Basic and Applied Basic Research Foundation under Grant No. 2019A1515011048.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Guang Ping He.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

He, G.P. Copenhagen Interpretation Can Survive the Upgraded Schrödinger’s cat Gedankenexperiment. Found Phys 50, 715–726 (2020). https://doi.org/10.1007/s10701-020-00343-7

Download citation

Keywords

  • Quantum interpretation theory
  • Copenhagen interpretation
  • Schrödinger’s cat
  • Quantum measurement
  • Quantum entanglement