Inferential reasoning through soliton properties of quantum neurodynamics

The authors summarize the theory of quantum neurodynamics (QND), and explain how it serves as a plausible quantitative model of cognitive phenomena. They illustrate the model with an explanation for the anomaly of visual perception known as the phi phenomenon, and with an illustration of multiple personality formation in which quantum tunneling provides the mechanism for abrupt transition from one personality to another. Finally, they describe how the nonlinear interaction of solitary wave packets in the wave function provides an explicit, quantifiable, and computable model for the inference of new knowledge about the observed universe. In particular, they show that, just as a linear filter cannot create frequencies that were not present in the input, the inference of knowledge that is not present in the history of observations of the environment is possible only through a stochastic filtering algorithm, such as the QND, that is nonlinear in the probability density