VIABILITY GEOMETRY: A Minimal Relational Framework for Persistence in Complex Adaptive Systems | ChatGPT5.3, Gemini and NotebookLM

Complex adaptive systems across domains — including biological organisms, ecological communities, financial networks, and geopolitical institutions — exhibit a common pattern of sudden collapse following extended periods of apparent stability. Traditional analyses often focus on individual variables within these systems, yet such variables frequently fail to capture the structural conditions that determine persistence under disturbance.

This paper proposes a minimal relational framework for analyzing viability in complex adaptive systems. The framework identifies seven informational roles — constraints, margins, system state, disturbances, perception, regulation, and optionality — that together form the minimal architecture required for persistence. These roles interact through a set of seven triadic relations that correspond to the unique Steiner triple system , represented by the Fano plane.

This relational grammar generates a geometric representation of system dynamics in which persistence corresponds to trajectories remaining within a viable region of state space defined by constraints and margins. Collapse occurs when margins erode and optional future trajectories disappear. Empirical examples from clinical medicine, coral reef ecology, and financial crises illustrate how these dynamics manifest across domains.

The resulting framework provides a unified perspective on fragility, resilience, and systemic collapse. The appearance of the Fano combinatorial structure suggests deeper connections with exceptional algebraic systems such as the octonions and the Freudenthal triple system associated with the exceptional Lie group . While these mathematical correspondences are presented primarily as scaffolding for future research, they highlight the possibility that persistence in complex adaptive systems may depend on maintaining coherence within a minimal relational architecture.

By identifying the structural conditions that sustain viability, the proposed framework offers a foundation for analyzing resilience across disciplines and for designing institutions and policies that preserve the life-supporting systems upon which human societies depend.

From Breakdown to Reweaving: Toward a Regenerative Framework of Coherence Across the Organism, Society, and Planet | ChatGPT4o

This white paper advances a unified framework of regenerative coherence by integrating foundational insights from John McMurtry’s Life-Value Onto-Axiology, Darcia Narvaez’s neurobiological ethics, Riane Eisler’s partnership–dominator sociocultural model, and Peter Turchin’s cliodynamic analysis of civilizational cycles. Synthesizing these perspectives through the TATi grammar (Tend–Align–Transcend–Integrate), biotensegrity principles, and symbolic recursion, we propose a cross-domain model that enables diagnostic clarity and transformative design across biological, social, and planetary scales.

The framework is premised on the holofractal nature of living systems, emphasizing phase coherence, narrative integrity, and systemic attunement as central to life-sustaining evolution. Pathologies — whether autoimmune disease, long COVID, social collapse, or ecological breakdown — are seen as failures in recursive coherence, phase-locking, and symbolic integration. Using visual tools (mandalas and rotors), narrative diagnostics, and resonance metaphysics, we offer actionable interventions to restore alignment at multiple levels of life hosting.

This transdisciplinary synthesis reframes human development and civilizational possibility through the lens of symbolic regeneration, enabling institutions, practitioners, and communities to become stewards of coherence in a rapidly fragmenting world.

Beyond War: A Life-Value Onto-Axiological Critique of Armed Conflict in Iraq, Ukraine, and Gaza | ChatGPT4o

This white paper offers a comprehensive and systemic critique of war through the lens of Life-Value Onto-Axiology (LVOA), a normative framework that grounds all legitimate value in the preservation and development of life-capacities across biological, psychological, social, and ecological domains. By examining the conflicts in Iraq, Ukraine, and Gaza as paradigmatic case studies, the paper reveals that war is not an aberration of politics but a structural expression of life-incoherence — a breakdown of systems that prioritize domination, strategic abstraction, and resource control over the sanctity and flourishing of life.

Through in-depth analysis, the paper demonstrates that each conflict is sustained by epistemological distortion, axiological inversion, and the operation of what LVOA theorist John McMurtry terms the Ruling Group Mind (RGM) — a system of elite-controlled narratives and institutions that obscure causality, justify violence, and normalize systemic destruction. War, in this context, emerges as a predictable consequence of governance systems unmoored from the ontological ground of life.

Moving beyond critique, the paper outlines a Regenerative Peace Paradigm based on five pillars: ontological grounding in the sacredness of life, epistemological clarity, axiological coherence, institutionalization of the civil commons, and regenerative feedback through trauma-informed systems. It calls for the transformation of security paradigms, the demilitarization of global systems, and the reconstruction of international institutions capable of upholding life-support infrastructures across all cultures and ecosystems.

This paper serves as both an academic intervention and a moral appeal to policymakers, peacebuilders, civil society leaders, and cultural creators. It asserts that peace is not the absence of conflict, but the presence of life-system coherence — a goal that is not only ethically imperative but structurally necessary for planetary survival. The time has come to shift from managing crises to realigning civilization with the only value that endures: life itself.