Quantum-Like Behavior of Classical Systems
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.
KeywordsNon-classical probability Bohmian mechanics Neural correlates of mental processes
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- 1.Aerts, D., Aerts, S.: Applications of quantum statistics in psychological studies of decision processes. Foundations of Science, 85–97 (1994)Google Scholar
- 3.Atmanspacher, H.: Quantum Approaches to Consciousness. Stanford Encyclopedia of Philosophy, http://plato.stanford.edu/entries/qt-consciousness/
- 5.beim Graben, P., Atmanspacher, H.: Complementarity in classical dynamical systems. Foundations of Physics 36, 291–306 (2006)Google Scholar
- 7.Bohm, D.J.: A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables I & II. Phys. Rev. 85, 166 & 180 (1952)Google Scholar
- 11.de Broglie, L.: Wave mechanics and the atomic structure of matter and of radiation. Le Journal de Physique et le Radium 8, 225 (1927); see also Bacciagaluppi, G., Valentini, A.: Quantum Theory at the Crossroads – Reconsidering the 1927 Solvay Conference. Cambridge University Press (2009)Google Scholar
- 12.Cushing, J.T., Fine, A., Goldstein, S.: Bohmian Mechanics and Quantum Theory: An Appraisal. Boston Studies in the Philosophy of Science, vol. 184. Springer, Netherlands (1996)Google Scholar
- 13.Filk, T., von Müller, A.: Quantum Physics and Consciousness: The Quest for a Common Conceptual Foundation. Mind and Matter 7(1), 59–79 (2009)Google Scholar
- 14.Gabora, L., Aerts, D.: Contextualizing concepts using a mathematical generalization of the quantum formalism. Journal of Experimental and Theoretical Artificial Intelligence, 327–358 (2002)Google Scholar
- 15.Holland, P.R.: The Quantum Theory of Motion — An Account of the DeBroglie-Bohm Causal Interpretation of Quantum Mechanics. Cambridge University Press (1993)Google Scholar
- 16.Jammer, M.: The Philosophy of Quantum Mechanics: The Interpretations of Quantum Mechanics in Historical Perspective. Wiley-Interscience, New York (1974)Google Scholar
- 17.Special Issue: Quantum Cognition; Journal of Mathematical Psychology 53(5) (2009)Google Scholar
- 19.von Neumann, J.: Mathematische Grundlagen der Quantenmechanik. Springer (1932); Mathematical Foundations of Quantum Mechanics. Princeton University Press (1952) Google Scholar