Statistical models of critical phenomena in fuzzy biocognition.
A recent line of study exploring statistical models of punctuated global broadcasts associated with attention states has focused on the evolutionary exaptation of the inevitable signal crosstalk between related sets of unconscious cognitive modules (UCM). This work invokes a groupoid treatment of the equivalence classes arising from information sources 'dual', in a formal sense, to the UCM, via a standard spontaneous symmetry breaking/lifting methodology abducted from statistical physics. A related approach involves an index theorem based on a stochastic empirical Onsager-like entropy-analog gradient model. Surprisingly, similar arguments may apply to 'fuzzy groupoid' generalizations likely to better fit biological complexities.
Division of Epidemiology, The New York State Psychiatric Institute, Box 47, 1051 Riverside Drive, New York, NY 10032, United States. Electronic address: Wallace@nyspi.columbia.edu.
Rodrick
R
Wallace
D000818:Animals; D032701:Biomimetics / Q000379:methods*; D001921:Brain / Q000502:physiology*; D003071:Cognition / Q000502:physiology*; D003198:Computer Simulation; D017143:Fuzzy Logic; D006801:Humans; D016247:Information Storage and Retrieval / Q000379:methods*; D008959:Models, Neurological; D015233:Models, Statistical; D010363:Pattern Recognition, Automated / Q000379:methods
Crosstalk; Groupoid; Index theorem; Information theory; Phase transition