This book makes application to the dynamics of arousal and distraction, and to other examples. A modified version of the Kadanoff picture of phase transitions in consciousness emerges from the Morse Function itself in a surprisingly standard manner, closely associated with the breaking of groupoid symmetries driven by fundamental equivalence class algebras. Although this is far indeed from the familiar world of physical theory, it should be possible, on the basis of the probability models developed in the book, to develop new statistical tools for the analysis of observational and empirical data regarding cognition and consciousness.
Extends models of consciousness based on the asymptotic limit theorems of information theory to nonergodic systems
Explores the necessary extensions of the simplistic group symmetry-breaking of physical processes
Examines the evolutionary exaptation of crosstalk between physiological information processes