Major Transitions as Groupoid Symmetry-Breaking in Nonergodic Prebiotic, Biological and Social Information Systems.

Abstract

We extend the comparatively simple processes of group symmetry-breaking in physical systems to groupoid/equivalence class phase transitions characterizing adiabatically, piecewise stationary, information transmission in prebiotic, biological, and social phenomena: High vs. Low probability paths [Formula: see text] Interior and Exterior Interact [Formula: see text] Multiple Interacting Tunable Workspaces Application to nonstationary processes seems possible via generalizations of the symmetry algebra, for example, to semigroupoids. The dynamic probability models explored here can be transformed into statistical tools for the analysis of real-time and other data across a spectrum of important disciplines confronted by biological and other forms of cognition and their dysfunctions.