Entropy, free energy, symmetry and dynamics in the brain

Abstract Neuroscience is home to concepts and theories with roots in a variety of domains including information theory, dynamical systems cognitive psychology. Not all those can be coherently linked, some are incommensurable, domain-specific language poses an obstacle integration. Still, conceptual integration form understanding that provides intuition consolidation, without which progress remains unguided. This paper concerned the deterministic stochastic processes within theoretic framework, linking entropy free energy mechanisms emergent dynamics self-organization brain networks. We identify basic properties neuronal populations leading equivariant matrix network, complex behaviors naturally represented through structured flows on manifolds establishing internal model relevant function. propose neural mechanism for generation models from symmetry breaking connectivity The perspective illustrates how linked they arise substrate.