The Axiomatic Theory of Human Sovereignty, Architectural Controllability and Civilizational Recoverability in AI-Native Economies

Abstract This paper develops an axiomatic framework for human sovereignty, architectural controllability, and civilizational recoverability in AI-native economies. Building upon the ANOA (AI-Native Organizational Architecture) research programme and HomeSelf Research, the study investigates the conditions under which individuals and legitimate institutions can preserve and recover effective control over increasingly autonomous computational, economic, and cyber-physical infrastructures. The framework integrates four interdependent dimensions: constitutional legitimacy, technical controllability, economic and productive continuity, and human welfare. It introduces a Human Sovereignty Viability Set to examine whether these conditions can be maintained under disturbances, adversarial actions, infrastructure failures, and systemic dependencies. The research connects institutional authority and verifiable mandates with human custodianship, distributed computational production, economic agency, and federated resilience. Particular attention is given to independent control infrastructure, deterministic safety mechanisms, secure hardware, emergency intervention, recovery procedures, and the preservation of essential services. Conditional mathematical results and counterexamples examine the limits of robust recoverability, including circumstances in which technical shutdown capabilities do not imply effective human sovereignty because of economic dependence or the absence of viable alternatives. The study also proposes an architectural research agenda for sovereign recovery control planes, cross-domain coordination, and cyber-physical and socioeconomic stress testing. Its central proposition is that human sovereignty requires more than the formal authority to command intelligent machines: it requires the enduring capacity to govern, intervene, recover, produce, and participate in economic life without depending entirely on machine cooperation. Research status: Independent theoretical working paper, Version 1.0. Mathematical results are conditional; empirical validation and independent peer review remain necessary. Research programmes: ANOA — AI-Native Organizational Architecture; HomeSelf Research. DOI: 10.5281/zenodo.24076950