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International Symposium on Quantum Interaction

QI 2012: Quantum Interaction pp 196–206Cite as

Quantum-Like Behavior of Classical Systems

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7620)

Abstract

Bohmian mechanics is an example for a classical theory with a (Newtonian) ontology which reproduces all features of quantum mechanics. It is often used as a “classical” formulation of quantum mechanics, but in this article we invert the argument: Bohmian mechanics proves that there are classical systems which can show a quantum-like behavior; in particular, such models are able to explain non-classical probabilities. We analyze the general structure of Bohmian-type models and argue, that neural processes related to the correlates of mental states are likely to follow a dynamics which is similar to this class of models. Therefore, it may not be too surprising that cognitive phenomena under certain circumstances show a quantum-like behavior.

Keywords

  • Non-classical probability
  • Bohmian mechanics
  • Neural correlates of mental processes

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Author information

Authors and Affiliations

  1. Institute for Physics, University of Freiburg, Hermann-Herder-Str. 3, D-79104, Freiburg, Germany

    Thomas Filk

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

    Thomas Filk

  3. Institute of Frontier Areas in Psychology and Mental Health, Freiburg, Germany

    Thomas Filk

Authors
  1. Thomas Filk
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Editor information

Editors and Affiliations

  1. Indiana University, 47405, Bloomington, IN, USA

    Jerome R. Busemeyer

  2. Conservatoire National des Arts et M’etiers, 75003, Paris, France

    François Dubois

  3. Paris School of Economics, 75014, Paris, France

    Ariane Lambert-Mogiliansky

  4. University of Padua, 35131, Padua, Italy

    Massimo Melucci

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Filk, T. (2012). Quantum-Like Behavior of Classical Systems. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds) Quantum Interaction. QI 2012. Lecture Notes in Computer Science, vol 7620. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35659-9_18

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  • DOI: https://doi.org/10.1007/978-3-642-35659-9_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35658-2

  • Online ISBN: 978-3-642-35659-9

  • eBook Packages: Computer ScienceComputer Science (R0)