Quantum Interference in Cognition: Structural Aspects of the Brain

We identify the presence of typically quantum effects, namely 'superposition' and 'interference', in what happens when human concepts are combined, and provide a quantum model in complex Hilbert space that represents faithfully experimental data measuring the situation of combining concepts. Our model shows how 'interference of concepts' explains the effects of underextension and overextension when two concepts combine to the disjunction of these two concepts. This result supports our earlier hypothesis that human thought has a superposed two-layered structure, one layer consisting of 'classical logical thought' and a superposed layer consisting of 'quantum conceptual thought'. Possible connections with recent findings of a 'grid-structure' for the brain are analyzed, and influences on the mind/brain relation, and consequences on applied disciplines, such as artificial intelligence and quantum computation, are considered.

[1]  Peter Bruza,et al.  Extracting Spooky-Activation-at-a-Distance from Considerations of Entanglement , 2009, QI.

[2]  Anton Zeilinger,et al.  Wave–particle duality of C60 molecules , 1999, Nature.

[3]  Michael Barr,et al.  The Emperor's New Mind , 1989 .

[4]  Karl H. Pribram,et al.  The Languages of the Brain , 2002 .

[5]  D. GABOR,et al.  Holographic Model of Temporal Recall , 1968, Nature.

[6]  H. Stowell The emperor's new mind R. Penrose, Oxford University Press, New York (1989) 466 pp. $24.95 , 1990, Neuroscience.

[7]  Diederik Aerts,et al.  LETTER TO THE EDITOR: Quantum aspects of semantic analysis and symbolic artificial intelligence , 2003, quant-ph/0309022.

[8]  K. Pribram Languages of the Brain: Experimental Paradoxes and Principles in Neuropsychology , 1971 .

[9]  Dominic Widdows,et al.  Orthogonal Negation in Vector Spaces for Modelling Word-Meanings and Document Retrieval , 2003, ACL.

[10]  James T. Townsend,et al.  Quantum dynamics of human decision-making , 2006 .

[11]  Diederik Aerts,et al.  Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory , 2009, 1004.2530.

[12]  Peter Bruza,et al.  Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning , 2005, We Will Show Them!.

[13]  Pentti Kanerva,et al.  Large Patterns Make Great Symbols: An Example of Learning from Example , 1998, Hybrid Neural Systems.

[14]  Diederik Aerts,et al.  Quantum Structure in Cognition , 2008, 0805.3850.

[15]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[16]  Tony A. Plate,et al.  Holographic Reduced Representation: Distributed Representation for Cognitive Structures , 2003 .

[17]  Claus Jönsson,et al.  Electron Diffraction at Multiple Slits , 1974 .

[18]  J. Busemeyer,et al.  A quantum probability explanation for violations of ‘rational’ decision theory , 2009, Proceedings of the Royal Society B: Biological Sciences.

[19]  Diederik Aerts,et al.  Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts , 2007, 0705.0975.

[20]  Zonghai Chen,et al.  Quantum robot: structure, algorithms and applications , 2005, Robotica.

[21]  Diederik Aerts,et al.  Applications of Quantum Statistics in Psychological Studies of Decision Processes , 1995 .

[22]  Paul Benioff QUANTUM ROBOTS AND ENVIRONMENTS , 1998 .

[23]  J. Hampton,et al.  Disjunction of natural concepts , 1988, Memory & cognition.

[24]  C. J. van Rijsbergen,et al.  The geometry of information retrieval , 2004 .

[25]  Diederik Aerts,et al.  Quantum Structure in Cognition: Why and How Concepts Are Entangled , 2011, QI.

[26]  Emmanuel Haven,et al.  Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts , 2009 .

[27]  Thomas Young,et al.  On the theory of light and colours , 1967 .

[28]  Douglas L. Rosene,et al.  The Geometric Structure of the Brain Fiber Pathways , 2012, Science.

[29]  Diederik Aerts,et al.  Quantum Interaction Approach in Cognition, Artificial Intelligence and Robotics , 2011, ArXiv.

[30]  Louis Victor Pierre Raymond,et al.  Ondes et quanta , 1923 .

[31]  Diederik Aerts,et al.  Quantum Experimental Data in Psychology and Economics , 2010, 1004.2529.

[32]  Diederik Aerts,et al.  A Theory of Concepts and Their Combinations II: A Hilbert Space Representation , 2004 .

[33]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[34]  Diederik Aerts,et al.  General Quantum Modeling of Combining Concepts: A Quantum Field Model in Fock Space , 2007, 0705.1740.

[35]  Diederik Aerts,et al.  A theory of concepts and their combinations I: The structure of the sets of contexts and properties , 2005 .

[36]  Bart De Moor,et al.  Geometric Analogue of Holographic Reduced Representation , 2007, ArXiv.

[37]  Peter Bruza,et al.  Entangling words and meaning , 2008 .

[38]  Diederik Aerts,et al.  Classical Logical Versus Quantum Conceptual Thought: Examples in Economics, Decision Theory and Concept Theory , 2008, QI.

[39]  Dominic Widdows,et al.  Geometry and Meaning , 2004, Computational Linguistics.