Rate distortion coevolutionary dynamics and the flow nature of cognitive epigenetic systems

Abstract: We outline a model for a cognitive epigenetic system based on elements of the Shannon theory of information and the statistical physics of the generalized Onsager relations. Particular attention is paid to the concept of the rate distortion function and from another direction as motivated by the thermodynamics of computing, the fundamental homology with the free energy density of a physical system. A unifying aspect of the dynamic framework involves the concept of a groupoid and of a groupoid atlas. From a stochastic differential equation we postulate a multidimensional Ito process for an epigenetic system from which a stochastic flow may permeate through components of this atlas.