A Thermodynamic–Informational Framework for Self-Organizing Dissipative Systems: Pentacyclic Closure of Energy, Information, and Structure

We present a closed-form theoretical framework describing the coupled dynamics of energy density, energy flux, entropy production, negentropic information, and exergy in low-entropy non-equilibrium dissipative systems. The framework consists of five primitive definition equations, five forward equalities (transformative relations introducing system-specific coupling coefficients), and five constraining inequalities (physical bounds derived from the first and second laws of thermodynamics, Carnot's theorem, Landauer's principle, and effective medium theory). All ten relations are dimensionally self-consistent. A central result is a first-principles expression for the rate of change of information density, from which we derive the necessary and sufficient condition for sustained net information growth (ṁ>0) in a local volume element. We further show that the system's five variables are organized into a closed, mutually regulating cycle in which every forward transformation is balanced by a corresponding physical constraint, producing an intrinsic homeostatic architecture. We discuss implications for understanding the physical basis of life, intelligence, and the energetic limits of information processing. All assumptions are explicitly bounded: the framework applies exclusively to systems satisfying the Local Equilibrium Hypothesis (Kn 1), possessing exergy storage capacity, and operating far from thermodynamic equilibrium with effective entropy export.