The Ahuraic Framework as a Proposed Tripartite Architecture for Organization, Change, and Stability: Integrating CIS, D-CIS, and the Capacity–Attractor Principle

Complex systems are often described through domain-specific measures such as entropy, free energy, correlation length, network metrics, and information-theoretic quantities. This paper presents the Ahuraic Framework, a tripartite architecture for organization, change, and stability based on three constructs: Informational Structural Cost (CIS), its dynamic extension D-CIS, and the Capacity–Attractor Principle (CAP). CIS assigns a scalar structural cost to an admissible configuration via a predecessor-independent generative expansion ratio r(X) > 0, and a conditional representation theorem yields CIS(X) = ln r(X) + κ ρ(X). Here ρ(X) is Organizational Rank (hierarchical depth) and κ is a representation-dependent coefficient. D-CIS describes changes in CIS along trajectories, distinguishing the instantaneous rate from the finite change ∆CIS. CAP defines a dimensionless capacity ratio C = J/Jcrit(ρ(X)) and a statistical persistence hypothesis P(persistence | C > 1) > P(persistence | C < 1), not a deterministic threshold. The paper positions these constructs within the roles of Structural Order, Generativity, and Coherence, with Structure constitutively prior to Organization. A qualitative comparative analysis of 120 heterogeneous cases serves as exploratory motivation. Testable implications, falsification conditions, and two reproducible network case illustrations are provided. The framework is proposed as a substrate-agnostic vocabulary, not a universal physical theory