Omega v24.0: A Unified Thermodynamic Framework for Viability, Coherence, and Collapse Across Complex Adaptive Systems

This paper introduces the Omega Framework v24.0, a unified thermodynamic model for assessing viability, coherence, and collapse across complex adaptive systems. The framework operationalizes three foundational axioms — energy investment against entropy, critical phase-transition thresholds, and damping-versus-spiraling dynamics — into a 26-construct architecture with a single canonical formula. Building on 60+ domain stress tests across 23 domains and 562 iterative refinements conducted between December 2025 and March 2026, v24.0 introduces twelve architectural innovations including: (1) Pathological vs. Constitutive entropy classification, which prevents false non-viable scoring of neurodivergent and architecturally complex systems; (2) an Agentive vs. Architectural abuse taxonomy; (3) a temporal stability vector system enabling multi-timescale crisis detection; (4) Objective Exit Capacity (OEC) for detecting coercive control when victims subjectively report freedom; (5) a formal Construct Applicability Matrix enabling systematic domain transfer; and (6) non-negotiable safety overrides including a Dead Calm detector for coercive suppression of oscillation. The framework produces three simultaneous outputs — viability diagnosis, ethical evaluation, and structural map — and demonstrates through structural isomorphism that couples, organizations, consciousness, psychotherapy outcomes, leadership systems, and AI architectures fail through mathematically identical processes with domain-specific operationalization. A five-phase validation architecture ($370K–$570K, ~20 months) is specified with explicit go/no-go gates, mandatory ablation testing, and fairness auditing. Empirical validation has not yet been conducted; this paper presents the theoretical architecture and invites collaborative testing. Full specification: https://github.com/glowsatnight/omega-frameworkOSF Archive: https://osf.io/rneq4/Living Corpus DOI: 10.5281/zenodo.18342545 Contact: indigecko@gmail.comLicense: CC-BY-NC-ND 4.0