Integrated Information-Induced Quantum Collapse


We present a novel spontaneous collapse model where size is no longer the property of a physical system which determines its rate of collapse. Instead, we argue that the rate of spontaneous localization should depend on a system’s quantum Integrated Information (QII), a novel physical property which describes a system’s capacity to act like a quantum observer. We introduce quantum Integrated Information, present our QII collapse model and briefly explain how it may be experimentally tested against quantum theory.

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  1. 1.

    Adler, S.L.: Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory. Cambridge University Press, Cambridge (2004)

    Google Scholar 

  2. 2.

    Adler, S.L.: Lower and upper bounds on CSL parameters from latent image formation and IGM heating. J. Phys. Math. General 40, 2935–2957 (2007)

    ADS  Article  MATH  Google Scholar 

  3. 3.

    Adler, S.L.: Incorporating gravity into trace dynamics: the induced gravitational action. Class. Quantum Gravity 30(19), 195015 (2013)

    ADS  Article  Google Scholar 

  4. 4.

    Arndt, M., Hornberger, K.: Testing the limits of quantum mechanical superpositions. Nat Phys 10(4), 271–277 (2014)

    Article  Google Scholar 

  5. 5.

    Arndt, M., Nairz, O., Vos-Andreae, J., Keller, C., van der Zouw, G., Zeilinger, A.: Wave particle duality of C60 molecules. Nature 401(6754), 680–682 (1999)

    ADS  Article  Google Scholar 

  6. 6.

    Baars, B.J.A.: Cognitive Theory of Consciousness. Cambridge University Press, Cambridge (1988)

    Google Scholar 

  7. 7.

    Balduzzi, D., Tononi, G. Integrated information in discrete dynamical systems: motivation and theoretical framework (2008). doi:10.1371/journal.pcbi.1000091

  8. 8.

    Balduzzi, D., Tononi, G.: Qualia: the geometry of integrated information. PLoS Comput. Biol. 5, 8 (2009)

    MathSciNet  Article  Google Scholar 

  9. 9.

    Bassett, D.S., Gazzaniga, M.S.: Understanding complexity in the human brain. Trends Cognitive Sci. 15(5), 200–209 (2011)

    Article  Google Scholar 

  10. 10.

    Bassi, A., Dürr, D., Hinrichs, G.: Uniqueness of the equation for quantum state vector collapse. Phys. Rev. Lett. 111(21), 210401 (2013)

    ADS  Article  Google Scholar 

  11. 11.

    Bassi, A., Ghirardi, G.: A general argument against the universal validity of the superposition principle. Phys. Lett. A 275, 373–381 (2000)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  12. 12.

    Bassi, A., Ghirardi, G.: Dynamical reduction models. Phys. Rep. 379, 257–426 (2003)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  13. 13.

    Bassi, A., Lochan, K., Satin, S., Singh, T.P., Ulbricht, H.: Models of wave-function collapse, underlying theories, and experimental tests. Rev. Mod. Phys. 85, 471–527 (2013)

    ADS  Article  Google Scholar 

  14. 14.

    Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Collected Papers on Quantum Philosophy. Cambridge University Press, Cambridge (2004)

    Google Scholar 

  15. 15.

    Cohen, R., Stachel, J.: Potentiality, Entanglement and Passion-at-a-Distance: Quantum Mechanical Studies for Abner Shimony. Boston Studies in the Philosophy and History of Science. Springer, The Netherlands (1997)

    Google Scholar 

  16. 16.

    Das, S., Lochan, K., Bassi, A.: Bounds on Spontaneous Collapse model of Quantum Mechanics from formation of CMBR and Standard Cosmology. ArXiv e-prints (2013)

  17. 17.

    Diósi, L.: Models for universal reduction of macroscopic quantum fluctuations. Phys. Rev. A 40(3), 1165–1174 (1989)

    ADS  Article  Google Scholar 

  18. 18.

    Dür, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62(6), 062314 (2000)

    MathSciNet  ADS  Article  Google Scholar 

  19. 19.

    Eibenberger, S., Gerlich, S., Arndt, M., Mayor, M., Tuxen, J.: Matter-wave interference of particles selected from a molecular library with masses exceeding 10 000 amu. Phys. Chem. Chem. Phys. 15(35), 14696–14700 (2013)

    Article  Google Scholar 

  20. 20.

    Feldmann, W., Tumulka, R.: Parameter diagrams of the GRW and CSL theories of wavefunction collapse. J. Phys. A Math. General 45(6), 065304 (2012)

    MathSciNet  ADS  Article  Google Scholar 

  21. 21.

    Gerlich, S., Eibenberger, S., Tomandl, M., Nimmrichter, S., Hornberger, K., Fagan, P.J., TÃ+xen, J., Mayor, M., Arndt, M.: Quantum interference of large organic molecules. Nat. Commun. 2, 263 (2011)

    ADS  Article  Google Scholar 

  22. 22.

    Ghirardi, G.C., Pearle, P., Rimini, A.: Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles. Phys. Rev. A 42, 78–89 (1990)

    MathSciNet  ADS  Article  Google Scholar 

  23. 23.

    Ghirardi, G.C., Rimini, A., Weber, T.: Unified dynamics for microscopic and macroscopic systems. Phys. Rev. D 34, 470–491 (1986)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  24. 24.

    Gisin, N.: Stochastic quantum dynamics and relativity. Helv. Phys. Acta 62(4), 363–371 (1989)

    MathSciNet  Google Scholar 

  25. 25.

    Greenberger, D.M., Horne, M.A., Zeilinger, A.: Going Beyond Bell’s Theorem. ArXiv e-prints (2007)

  26. 26.

    Lochan, K., Satin, S., Singh, T.P.: Statistical Thermodynamics for a non-commutative special relativity: emergence of a generalized quantum dynamics. Found. Phys. 42, 1556–1572 (2012)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  27. 27.

    Marshall, W., Simon, C., Penrose, R., Bouwmeester, D.: Towards quantum superpositions of a mirror. Phys. Rev. Lett. 91, 130401 (2003)

    MathSciNet  ADS  Article  Google Scholar 

  28. 28.

    Massimini, M., Ferrarelli, F., Esser, S.K., Riedner, B.A., Huber, R., Murphy, M., Peterson, M.J., Tononi, G.: Triggering sleep slow waves by transcranial magnetic stimulation. Proc Natl Acad Sci USA 104(20), 8496–8501 (2007)

    ADS  Article  Google Scholar 

  29. 29.

    Metzinger, T.: Being No One: The Self-model Theory of Subjectivity. MIT Press, Cambridge (2003)

    Google Scholar 

  30. 30.

    Nimmrichter, S., Hornberger, K.: Macroscopicity of mechanical quantum superposition states. Phys. Rev. Lett. 110(16), 160403 (2013)

    ADS  Article  Google Scholar 

  31. 31.

    Pearle, P.: Reduction of the state vector by a nonlinear Schrödinger equation. Phys. Rev. D 13(4), 857–868 (1976)

    MathSciNet  ADS  Article  Google Scholar 

  32. 32.

    Penrose, R.: On gravity’s role in quantum state reduction. General Relativ. Gravit. 28(5), 581–600 (1996)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  33. 33.

    Romero-Isart, O., Clemente, L., Navau, C., Sanchez, A., Cirac, J.I.: Quantum magnetomechanics with levitating superconducting microspheres. Phys. Rev. Lett. 109, 147205 (2012)

    ADS  Article  Google Scholar 

  34. 34.

    Stapp, H.: Mindful Universe: Quantum Mechanics and the Participating Observer. The Frontiers Collection. Springer, Berlin (2011)

    Google Scholar 

  35. 35.

    Tegmark, M.: Consciousness as a State of Matter (2015). arXiv:1401.1219

  36. 36.

    Tononi, G.: An information integration theory of consciousness. BMC Neurosci. 5(1), 42 (2004)

    Article  Google Scholar 

  37. 37.

    Tononi, G.: Consciousness as integrated information: a provisional manifesto. Biol. Bull. 215(3), 216–242 (2008)

    Article  Google Scholar 

  38. 38.

    von Neumann, J.: The Mathematical Foundations of Quantum Mechanics, 1st edn. Princeton University Press, Princeton (1932)

    Google Scholar 

  39. 39.

    Wigner, E.P.: Remarks on the mind-body question. In: Good, I.J. (ed.) The Scientist Speculates, pp. 284–301. Heinemann, London (1962) (Reprinted in the Collected Works, vol. 6, pp. 247–260)

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Correspondence to André Ranchin.

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Kremnizer, K., Ranchin, A. Integrated Information-Induced Quantum Collapse. Found Phys 45, 889–899 (2015).

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  • Spontaneous collapse model
  • Integrated information
  • Quantum measurement
  • Quantum observer
  • Quantum relative entropy