Skip to main content
Log in

Interpreting Quantum Particles as Conceptual Entities

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We elaborate an interpretation of quantum physics founded on the hypothesis that quantum particles are conceptual entities playing the role of communication vehicles between material entities composed of ordinary matter which function as memory structures for these quantum particles. We show in which way this new interpretation gives rise to a natural explanation for the quantum effects of interference and entanglement by analyzing how interference and entanglement emerge for the case of human concepts. We put forward a scheme to derive a metric based on similarity as a predecessor for the structure of ‘space, time, momentum, energy’ and ‘quantum particles interacting with ordinary matter’ underlying standard quantum physics, within the new interpretation, and making use of aspects of traditional quantum axiomatics. More specifically, we analyze how the effect of non-locality arises as a consequence of the confrontation of such an emerging metric type of structure and the remaining presence of the basic conceptual structure on the fundamental level, with the potential of being revealed in specific situations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aerts, D.: Quantum particles as conceptual entities. A possible explanatory framework for quantum theory. Found. Sci. 14, 361–411 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  2. Aerts, D.: A potentiality and conceptuality interpretation of quantum physics. Philosophica 82 (2010, in press). Archive reference and link: http://uk.arxiv.org/abs/1005.3767

  3. Aerts, D.: Quantum interference in cognition and double-slit graphical representations (in preparation)

  4. Aerts, D.: Quantum structure in cognition. J. Math. Psychol. 53, 314–348 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  5. Aerts, D., Aerts, S., Gabora, L.: Experimental evidence for quantum structure in cognition. Lect. Notes Artif. Intell. 5494, 59–70 (2009)

    Google Scholar 

  6. Aerts, D., D’Hooghe, B.: Classical logical versus quantum conceptual thought: examples in economy, decision theory and concept theory. Lect. Notes Artif. Intell. 5494, 128–142 (2009)

    Google Scholar 

  7. Aerts, D.: Quantum interference and superposition in cognition: development of a theory for the disjunction of concepts. In: Aerts, D., D’Hooghe, B., Note, N. (eds.) Worldviews, Science and Us: Bridging Knowledge and Its Implications for Our Perspectives of the World. World Scientific, Singapore (2010)

    Google Scholar 

  8. Aerts, D.: General quantum modeling of combining concepts: a quantum field model in Fock space. Found. Sci. (2010)

  9. Aerts, D., Czachor, M., D’Hooghe, B.: Towards a quantum evolutionary scheme: violating Bell’s inequalities in language. In: Evolutionary Epistemology, Language and Culture—A Non Adaptationist Systems Theoretical Approach. Springer, Dordrecht (2006)

    Google Scholar 

  10. Aerts, D., Gabora, L.: A theory of concepts and their combinations, I: The structure of the sets of contexts and properties. Kybernetes 34, 167–191 (2005)

    Article  MATH  Google Scholar 

  11. Aerts, D., Gabora, L.: A theory of concepts and their combinations, II: A Hilbert space representation. Kybernetes 34, 192–221 (2005)

    Article  MATH  Google Scholar 

  12. Aerts, D., Czachor, M.: Quantum aspects of semantic analysis and symbolic artificial intelligence. J. Phys. A, Math. Gen. 37, L123–L32 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MATH  Google Scholar 

  14. Aerts, D., Broekaert, J., Smets, S.: A quantum structure description of the liar paradox. Int. J. Theor. Phys. 38, 3231–3239 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  15. Aerts, D., Broekaert, J., Smets, S.: The liar paradox in a quantum mechanical perspective. Found. Sci. 4, 115–132 (1999)

    Article  MATH  MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  17. Aerts, D., Aerts, S., Broekaert, J., Gabora, L.: The violation of Bell inequalities in the macroworld. Found. Phys. 30, 1387–1414 (2000)

    Article  MathSciNet  Google Scholar 

  18. Aerts, D.: The stuff the world is made of: physics and reality. In: Einstein meets Magritte: An Interdisciplinary Reflection. Springer, Dordrecht (1999)

    Google Scholar 

  19. Aerts, D.: Foundations of quantum physics: a general realistic and operational approach. Int. J. Theor. Phys. 38, 289–358 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  20. Aerts, D.: The entity and modern physics: the creation-discovery view of reality. In: Interpreting Bodies: Classical and Quantum Objects in Modern Physics. Princeton University Press, Princeton (1998)

    Google Scholar 

  21. Aerts, D.: The hidden measurement formalism: what can be explained and where paradoxes remain. Int. J. Theor. Phys. 37, 291–304 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  22. Aerts, D.: Quantum structures: an attempt to explain their appearance in nature. Int. J. Theor. Phys. 34, 1165–1186 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  23. Aerts, D.: Quantum structures, separated physical entities and probability. Found. Phys. 24, 1227–1259 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  24. Aerts, D.: Quantum structures due to fluctuations of the measurement situations. Int. J. Theor. Phys. 32, 2207–2220 (1993)

    Article  MathSciNet  Google Scholar 

  25. Aerts, D.: The construction of reality and its influence on the understanding of quantum structures. Int. J. Theor. Phys. 31, 1815–1837 (1992)

    Article  MathSciNet  Google Scholar 

  26. Aerts, D.: A possible explanation for the probabilities of quantum mechanics. J. Math. Phys. 27, 202–210 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  27. Tonomura, A., Endo, J., Matsuda, T., Kawasaki, T., Ezawa, H.: Demonstration of single-electron buildup of an interference pattern. Am. J. Phys. 57, 117–120 (1989)

    Article  ADS  Google Scholar 

  28. Jönsson, C.: Elektroneninterferenzen an mehreren künstlich hergestellten Feinspalten. Z. Phys. 161, 454–474 (1961)

    Article  ADS  Google Scholar 

  29. Young, T.: On the theory of light and colours. Philos. Trans. R. Soc. 92, 12–48 (1802). Reprinted in part in H. Crew (ed) The Wave Theory of Light (1990). New York

    Article  Google Scholar 

  30. Feynman, R.: The Feynman Lectures on Physics: Volume 3. Addison-Wesley, Reading (1970)

    Google Scholar 

  31. Feynman, R.: The Character of Physical Law. MIT Press, Cambridge (1965)

    Google Scholar 

  32. Pearle, Ph.: How stands collapse I. J. Phys. A, Math. Theor. 40, 3189–3204 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  35. Zbinden, H., Brendel, J., Tittel, W., Gisin, N.: Experimental test of relativistic quantum state collapse with moving reference frames. J. Phys. A, Math. Theor. 34, 7103–7109 (2001)

    Article  MATH  ADS  Google Scholar 

  36. Simon, C., Buzek, V., Gisin, N.: No-signaling condition and quantum dynamics. Phys. Rev. Lett. 87, 170405-2 (2001)

    ADS  Google Scholar 

  37. Svetlichny, G.: Quantum formalism with state-collapse and superluminal communication. Found. Phys. 28, 131–155 (1998)

    Article  MathSciNet  Google Scholar 

  38. Deutsch, D.: Quantum theory of probability and decisions. Proc. R. Soc. Lond. A455, 3129–3137 (1999)

    MathSciNet  ADS  Google Scholar 

  39. DeWitt, B.S., Graham, N. (eds.): The Many-Worlds Interpretation of Quantum Mechanics. Princeton University Press, Princeton (1973)

    Google Scholar 

  40. Everett, H.: Relative state formulation of quantum mechanics. Rev. Mod. Phys. 29, 454–462 (1957)

    Article  MathSciNet  ADS  Google Scholar 

  41. Aspect, A., Grangier, P., Roger, G.: Experimental tests of realistic local theories via Bell’s theorem. Phys. Rev. Lett. 47, 460–463 (1981)

    Article  ADS  Google Scholar 

  42. Bell, J.S.: On the Einstein-Podolsky-Rosen paradox. Physics 1, 195–200 (1964)

    Google Scholar 

  43. Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935)

    Article  MATH  ADS  Google Scholar 

  44. Salart, D., Baas, A., Branciard, C., Gisin, N., Zbinden, H.: Testing the speed of ‘spooky action at a distance’. Nature 454, 861–864 (2008)

    Article  ADS  Google Scholar 

  45. Blei, D.M., Ng, A.N., Jordan, M.I.: Latent Dirichlet allocation. J. Mach. Learn. Res. 3, 993–1022 (2003)

    Article  MATH  Google Scholar 

  46. Griffiths, T.L., Steyvers, M.: Prediction and semantic association. Adv. Neural Inf. Process. Syst. 15, 11–18 (2002)

    Google Scholar 

  47. Hofmann, T.: Probabilistic latent semantic analysis. In: Proceedings of the 22nd Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, Berkeley, California, 50-57 (1999)

  48. Lund, K., Burgess, C.: Producing high-dimensional semantic spaces from lexical co-occurrence. Behav. Res. Meth., Instrum. Comput. 28, 203–208 (1995)

    Google Scholar 

  49. Deerwester, S., Dumais, S.T., Furnas, G.W., Landauer, T.K., Harshman, R.: Indexing by latent semantic analysis. J. Am. Soc. Inform. Sci. 41, 391–407 (1990)

    Article  Google Scholar 

  50. Hampton, J.A.: Disjunction of natural concepts. Mem. Cogn. 16, 579–591 (1988)

    Google Scholar 

  51. Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880–884 (1969)

    Article  ADS  Google Scholar 

  52. Aerts, D.: Quantum axiomatics. In: Engesser, K., Gabbay, D., Lehmann, D. (eds.) Handbook of Quantum Logic, Quantum Structure and Quantum Computation. Elsevier, Amsterdam (2009)

    Google Scholar 

  53. Aerts, D., Aerts, S.: Towards a general operational and realistic framework for quantum mechanics and relativity theory. In: Elitzur, A.C., Dolev, S., Kolenda, N. (eds.): Quo Vadis Quantum Mechanics? Possible Developments in Quantum Theory in the 21st Century, pp. 153–208. Springer, New York (2004)

    Google Scholar 

  54. Aerts, D.: Being and change: foundations of a realistic operational formalism. In: Aerts, D., Czachor, M., Durt, T. (eds.) Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Probability and Axiomatics. World Scientific, Singapore (2002)

    Google Scholar 

  55. Aerts, D., Colebunders, E., Van der Voorde, A., Van Steirteghem, B.: State property systems and closure spaces: a study of categorical equivalence. Int. J. Theor. Phys. 38, 359–385 (1999)

    Article  MATH  Google Scholar 

  56. Piron, C.: Mécanique Quantique: Bases et Applications. Press Polytechnique de Lausanne, Lausanne (1990)

    MATH  Google Scholar 

  57. Aerts, D.: Classical theories and non classical theories as a special case of a more general theory. J. Math. Phys. 24, 2441–2453 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  58. Aerts, D.: Description of many physical entities without the paradoxes encountered in quantum mechanics. Found. Phys. 12, 1131–1170 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  59. Aerts, D.: The one and the many: towards a unification of the quantum and classical description of one and many physical entities. Doctoral dissertation, Brussels Free University (1981)

  60. Beltrametti, E., Cassinelli, G.: The Logic of Quantum Mechanics. Addison-Wesley, Reading (1981)

    MATH  Google Scholar 

  61. Beltrametti, E., van Fraassen, B.C. (eds.): Current Issues in Quantum Logic. Plenum, New York (1980)

    Google Scholar 

  62. Foulis, D.J., Randall, C.H.: What are quantum logics and what ought they to be? In: Beltrametti, E., van Fraassen, B.C. (eds.) Current Issues in Quantum Logic. Plenum, New York (1980)

    Google Scholar 

  63. Hooker, D.J. (ed.): The Logico-Algebraic Approach to Quantum Mechanics. Springer, Dordrecht (1979)

    MATH  Google Scholar 

  64. Piron, C.: Foundations of Quantum Physics. Benjamin, Elmsford (1976)

    MATH  Google Scholar 

  65. Jauch, J.M.: Foundations of Quantum Mechanics. Addison-Wesley, Reading (1968)

    MATH  Google Scholar 

  66. Varadarajan, V.S.: The Geometry of Quantum Theory. Springer, New York (1968)

    Google Scholar 

  67. Piron, C.: Axiomatique quantique. Helv. Phys. Acta 37, 439–468 (1964)

    MATH  MathSciNet  Google Scholar 

  68. Mittelstaedt, P.: Philosophische Probleme der Modernen Physik. Bibliographisches Institut, Mannheim (1963)

    Google Scholar 

  69. Mackey, G.: Mathematical Foundations of Quantum Mechanics. Benjamin, New York (1963)

    MATH  Google Scholar 

  70. Mackey, G.: Quantum mechanics and Hilbert Space. Am. Math. Mon. 64, 45–57 (1957)

    Article  MathSciNet  Google Scholar 

  71. Birkhoff, G., von Neumann, J.: The logic of quantum mechanics. Ann. Math. 37, 823–843 (1936)

    Article  Google Scholar 

  72. Tittel, W., Brendel, J., Gisin, B., Herzog, T., Zbinden, H., Gisin, N.: Experimental demonstration of quantum correlations over more than 10 km. Phys. Rev. A 57, 3229–3232 (1998)

    Article  ADS  Google Scholar 

  73. Rosch, E.: Natural categories. Cogn. Psychol. 4, 328–350 (1973)

    Article  Google Scholar 

  74. Rosch, E.: Cognitive representations of semantic categories. J. Exp. Psychol.: Gen. 104, 192–233 (1975)

    Article  Google Scholar 

  75. Chandler, D.: Semiotics: The Basics. Routledge, London (2002)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Diederik Aerts.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aerts, D. Interpreting Quantum Particles as Conceptual Entities. Int J Theor Phys 49, 2950–2970 (2010). https://doi.org/10.1007/s10773-010-0440-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0440-0

Keywords

Navigation