Action-Amplitude Approach to Controlled Entropic Self-Organization

Abstract

Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of functional compositions and commutative diagrams; (iii) a local geometric view of the Kähler–Ricci flow and time-evolution of entropic action; and (iv) a computational view using various path-integral approximations.

Keywords

• controlled self-organization
• entropy
• path integrals
• Kähler–Ricci flow
• Fokker–Planck equation
• computer simulation