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.