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Non-Classical Probabilities from Pilot Wave Models

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Quantum Interaction (QI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9535))

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Abstract

A class of models is defined which are in the broadest sense generalizations of the deBroglie-Bohm pilot wave model of quantum mechanics. It is shown that essentially any type of probability assignment – including, of course, quantum probability – can be obtained from this type of models. Therefore, pilot-wave models are one possible explanation for the occurrence of non-classical probabilities in systems which are not considered as fundamentally quantum but which show strong resemblances to quantum systems.

T. Filk — Financial support has been provided by the European Research Council under the European Communitys Seventh Framework Programme (FP7/20072013)/ ERC grant agreement no [294332], EvoEvo project.

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References

  1. Aerts, D., Aerts, S.: Applications of quantum statistics in psychological studies of decision processes. Found. Sci. 1, 85–97 (1994)

    Article  MathSciNet  Google Scholar 

  2. Aerts, D., Broekaert, J., Gabora, L., Veloz, T.: The guppy effect as interference. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds.) QI 2012. LNCS, vol. 7620, pp. 36–47. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  3. Aerts, D., Sozzo, S.: What is quantum? unifying its micro-physical and structural appearance. In: Atmanspacher, H., Bergomi, C., Filk, T., Kitto, K. (eds.) QI 2014. LNCS, vol. 8951, pp. 12–23. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  4. Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I.: A quantum-like model of Escherichia coli’s metabolism based on adaptive dynamics. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds.) QI 2012. LNCS, vol. 7620, pp. 60–67. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  5. Atmanspacher, H.: Quantum approaches to consciousness. In: Zalta, E.N. (ed.) Stanford Encyclopedia of Philosophy. Stanford University, Stanford (2011). http://plato.stanford.edu/entries/qt-consciousness/

    Google Scholar 

  6. Atmanspacher, H., Römer, H., Walach, H.: Weak quantum theory: complementarity and entanglement in physics and beyond. Found. Phys. 32, 379–406 (2002)

    Article  MathSciNet  Google Scholar 

  7. Atmanspacher, H., Filk, T., Römer, H.: Weak quantum theory: formal framework and selected applications. In: Adenier, G., Khrennikov, A., Nieuwenhuizen, T. (eds.) Quantum Theory: Reconsideration of Foundations - 3, pp. 34–46. American Institut of Physics, New York (2006)

    Google Scholar 

  8. Atmanspacher, H., beim Graben, P., Filk, T.: Epistemic entanglement due to non-generating partitions of classical dynamical systems. Int. J. Theor. Phys. 52, 723–734 (2013)

    Article  MATH  Google Scholar 

  9. Beck, F., Eccles, J.: Quantum aspects of brain activity and the role of consciousness. Proc. Natl. Acad. Sci. U.S.A. 89, 11357–11361 (1992)

    Article  Google Scholar 

  10. Bohm, D.: A suggested interpretation of the quantum theory in terms of “Hidden” variables I & II. Phys. Rev. 85(166–179), 180–193 (1952)

    Article  Google Scholar 

  11. Bohm, D., Hiley, B.: The Undivided Universe: An Ontological Interpretation of Quantum Theory. Routledge, London (1993)

    Google Scholar 

  12. Bruza, P., Kitto, K., Nelson, D., McEvoy, C.L.: Is there something quantum-like about the human mental lexicon? J. Math. Psychol. 53, 362–377 (2007)

    Article  MathSciNet  Google Scholar 

  13. Busemeyer, J., Wang, Z., Townsend, J.T.: Quantum dynamics of human decision making. J. Math. Psychol. 50, 220–241 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  14. Busemeyer, J., Bruza, P.: Quantum Models of Cognition and Decision. Cambridge University Press, Cambridge (2012)

    Book  Google Scholar 

  15. Dürr, D., Teufel, S.: Bohmian Mechanics: The Physics and Mathematics of Quantum Theory. Springer, Heidelberg (2012)

    Google Scholar 

  16. Eliasmith, C.: Attractor network. Scholarpedia 2(10), 1380 (2007)

    Article  Google Scholar 

  17. Essfeld, M., Lazarovici, D., Dürr, D.: The ontology of quantum physics. Br. J. Philos. Sci. 65, 773–796 (2014)

    Article  Google Scholar 

  18. Feynman, R., Leighton, R., Sands, M.: The Feynman Lectures on Physics, vol. 3. Addison-Wesley, New York (1965)

    MATH  Google Scholar 

  19. Filk, T.: Quantum-like behavior of classical systems. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds.) QI 2012. LNCS, vol. 7620, pp. 196–206. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  20. Filk, T., von Müller, A.: Quantum physics and consciousness: the quest for a common conceptual foundation. Mind Matter 7, 59–80 (2009)

    Google Scholar 

  21. Filk, T.: It is the theory which decides what we can observe (Einstein). In: Oktober, E., Dzhafarov, S.J. (eds.) Proceedings of the Winers Memorial Lectures 2014, Purde, 31. Oktober-3 - November 3, 2014 (to appear)

    Google Scholar 

  22. Gabora, L., Aerts, D.: Contextualizing concepts using a mathematical generalization of the quantum formalism. J. Exp. Theory Artif. Intell. 14, 327–358 (2002)

    Article  MATH  Google Scholar 

  23. Gärdenfors, P.: Conceptual Spaces. Bradford Books, MIT Press, Bradford (2000)

    Google Scholar 

  24. beim Graben, P., Atmanspacher, H.: Complementarity in classical dynamical systems. Found. Phys. 36, 291–306 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  25. Hameroff, S., Penrose, R.: Orchestrated reduction of quantum coherence in brainmicrotubules: a model for consciousness. In: Hameroff, S., Kahzniak, A., Scott, A. (eds.) Toward a Science of Consciousness, pp. 507–540. MIT Press, Cambridge (1996)

    Google Scholar 

  26. Hebb, D.O.: The Organization of Behavior. Wiley, New York (1949)

    Google Scholar 

  27. Holland, P.R.: The Quantum Theory of Motion: An Account of the DeBroglie-Bohm Causal Interpretation of Quantum Mechanics. Cambridge University Press, Cambridge (1993)

    Book  Google Scholar 

  28. Hopfield, J.J.: Neural networks and physical systems with emergent collective computational properties. Proc. Nat. Acad. Sci. (USA) 79, 2554–2558 (1982)

    Article  MathSciNet  Google Scholar 

  29. Khrennikov, A.: Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomena. Found. Phys. 29, 1065–1098 (1999)

    Article  MathSciNet  Google Scholar 

  30. Khrennikov, A.: Ubiquitous Quantum Structure: From Psychology to Finances. Springer, Heidelberg (2010)

    Book  Google Scholar 

  31. Lambert-Mogliansky, D.: Verallgemeinerte Messungen

    Google Scholar 

  32. Osherson, D.N., Smith, E.E.: On the adequacy of prototype theory as a theory of concepts. Cognition 9, 35–58 (1981)

    Article  Google Scholar 

  33. Penrose, R., Hameroff, S.: Consciousness in the universe: neuroscience, quantum space-time geometry and orch OR theory. J. Cosmol. 14, 1–17 (2011)

    Google Scholar 

  34. Pothos, E., Busemeyer, J.: A quantum probability model explanation for violations of rational decision theory. Proc. R. Soc. B 276, 2171–2178 (2009)

    Article  Google Scholar 

  35. Pylkkänen, P.: Mind, Matter and the Implicate Order. Springer, New York and Berlin (2007)

    MATH  Google Scholar 

  36. Turing, A.: The chemical basis of morphogenesis. Philos. Trans. R. Soc. London Ser. B. 237(641), 37–72 (1952)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, Albrecht-Ludwigs University Freiburg, Freiburg im Breisgau, Germany

    Thomas Filk

  2. Parmenides Foundation for the Study of Thinking, Munich, Germany

    Thomas Filk

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  1. Thomas Filk
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Correspondence to Thomas Filk .

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Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Harald Atmanspacher

  2. University of Freiburg, Freiburg, Germany

    Thomas Filk

  3. City University London, London, United Kingdom

    Emmanuel Pothos

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Filk, T. (2016). Non-Classical Probabilities from Pilot Wave Models. In: Atmanspacher, H., Filk, T., Pothos, E. (eds) Quantum Interaction. QI 2015. Lecture Notes in Computer Science(), vol 9535. Springer, Cham. https://doi.org/10.1007/978-3-319-28675-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-28675-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28674-7

  • Online ISBN: 978-3-319-28675-4

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