(1) School of Psychology and Clinical Language Sciences, University of Reading, Whiteknights, P.O. Box 217, Reading, RG6 6AH, UK;(2) Department of Mathematics, University of Reading, Whiteknights, P.O. Box 217, Reading, RG6 6AH, UK
Abstract:
We construct a mapping from complex recursive linguistic data structures to spherical wave functions using Smolensky’s filler/role bindings and tensor product representations. Syntactic language processing is then described by the transient evolution of these spherical patterns whose amplitudes are governed by nonlinear order parameter equations. Implications of the model in terms of brain wave dynamics are indicated. Electronic supplementary material The online version of this article (doi: ) contains supplementary material, which is available to authorized users.