Skip to main content

Options for Testing Temporal Bell Inequalities for Mental Systems

  • Conference paper
Quantum Interaction (QI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7052))

Included in the following conference series:

Abstract

It is shown how the concept of Bell inequalities may be used to decide whether “superposition” states exist in mental systems. For this purpose a generalized form of temporal Bell inequalities, originally developed for two-state systems, is derived for systems with any finite number of states. We propose options for testing violations of these inequalities in psychological experiments and discuss the important role of “non-invasive” measurements. Classical models can violate temporal Bell inequalitites, but observations are invasive.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atmanspacher, H., Römer, H., Walach, H.: Weak Quantum Theory: Complementarity and Entanglement in Physics and Beyond. Foundations of Physics 32, 379–406 (2002)

    Article  MathSciNet  Google Scholar 

  2. Atmanspacher, H., Filk, T., Römer, H.: Weak Quantum Theory: Formal Framework and Selected Applications. In: Adenier, G., et al. (eds.) Quantum Theory: Reconsideration of Foundations - 3, pp. 34–46. American Institute of Physics, New York (2006)

    Google Scholar 

  3. Bell, J.S.: On the Problem of Hidden Variables in Quantum Theory. Rev. Mod. Phys. 38, 447–452 (1966)

    Article  MATH  Google Scholar 

  4. Aspect, A., Dalibard, J., Roger, G.: Experimental Test of Bell’s Inequalities Using Time-Varying Analyzers. Phys. Rev. Lett. 49, 1804–1807 (1982)

    Article  MathSciNet  Google Scholar 

  5. Leggett, A.J., Garg, A.: Quantum Mechanics versus Macroscopic Realism: Is the Flux There When Nobody Looks? Phys. Rev. Lett. 54, 857–860 (1985)

    Article  MathSciNet  Google Scholar 

  6. Mahler, G.: Temporal Bell Inequalities: A Journey to the Limits of “Consistent Histories”. In: Atmanspacher, H., Dalenoort, G. (eds.) Inside Versus Outside. Endo- and Exo-Concepts of Observation and Knowledge in Physics, Philosophy and Cognitive Science, pp. 195–205. Springer, Berlin (1994)

    Google Scholar 

  7. Atmanspacher, H., Filk, T.: A Proposed Test of Temporal Nonlocality in Bistable Perception. Journal of Mathematical Psychology 54, 314–321 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Necker, L.A.: Observations on Some Remarkable Phenomenon Which Occurs in Viewing a Figure of a Crystal or Geometrical Solid. The London and Edinburgh Philosophy Magazine and Journal of Science 3, 329–337 (1832)

    Google Scholar 

  9. Brascamp, J.W., van Ee, R., Pestman, W.R., van den Berg, A.V.: Distributions of Alternation Rates in Various Forms of Bistable Perception. Journal of Vision 5, 287–298 (2005)

    Article  Google Scholar 

  10. Atmanspacher, H., Filk, T., Römer, H.: Quantum Zeno Features of Bistable Perception. Biol. Cybern. 90, 33–40 (2004)

    Article  MATH  Google Scholar 

  11. Atmanspacher, H., Bach, M., Filk, T., Kornmeier, J., Römer, H.: Cognitive Time Scales in a Necker-Zeno Model for Bistable Perception. Open Cybernetics & Systemics Journal 2, 234–251 (2008)

    Article  MathSciNet  Google Scholar 

  12. Atmanspacher, H., Filk, T., Römer, H.: Complementarity in Bistable Perception. In: Atmanspacher, H., Primas, H. (eds.) Recasting Reality – Wolfgang Pauli’s Philosophical Ideas in Contemporary Science, pp. 135–150. Springer, Berlin (2009)

    Google Scholar 

  13. Filk, T.: Non-Classical Correlations in Bistable Perception? Axiomathes 21, 221–232 (2011)

    Google Scholar 

  14. Pöppel, E.: A Hierarchical Model of Temporal Perception. Trends in Cognitive Science 1, 56–61 (1997)

    Article  Google Scholar 

  15. Atmanspacher, H., Filk, T.: Complexity and Non-Commutativity of Learning Operations on Graphs. BioSystems 85, 84–93 (2006)

    Article  Google Scholar 

  16. Atmanspacher, H.: Categoreal and Acategoreal Representation of Knowledge. Cognitive Systems 3, 259–288 (1992)

    Google Scholar 

  17. Feil, D., Atmanspacher, H.: Acategorial States in a Representational Theory of Mental Processes. Journal of Consciousness Studies 17(5/6), 72–101 (2010)

    Google Scholar 

  18. Gebser, J.: The Ever-Present Origin. Ohio University Press, Columbus (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Atmanspacher, H., Filk, T. (2011). Options for Testing Temporal Bell Inequalities for Mental Systems. In: Song, D., Melucci, M., Frommholz, I., Zhang, P., Wang, L., Arafat, S. (eds) Quantum Interaction. QI 2011. Lecture Notes in Computer Science, vol 7052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24971-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24971-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24970-9

  • Online ISBN: 978-3-642-24971-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics