Quantum Topological Autonomous Decision Ecosystems for Geoeconomic Risk, Climate, Energy Markets, Smart Cities and Resilient Global Infrastructure

Abstract: Contemporary geoeconomic fragmentation, climate-transition pressures, volatile energy markets, digitally interconnected cities and increasingly interdependent infrastructure systems generate systemic risks that cannot be adequately represented through isolated sectoral models. This paper develops an integrated Quantum-Topological Autonomous Decision Ecosystem for Global Resilience (Q-TADER-GR) to represent, forecast and manage multidomain risk propagation across geoeconomic, climate-financial, energy, urban and infrastructure networks. The study adopts a model-based analytical research design combining multiplex graph theory, topological data analysis, dynamic systems modelling, probabilistic risk forecasting, autonomous decision optimisation and a conceptual quantum-computational layer. Persistent topological features are used to identify structural dependencies and regime transitions that conventional pairwise indicators may overlook, while autonomous controls are formulated as constrained optimisation interventions. Quantum algorithms are positioned as potential computational accelerators for persistence calculations and high-dimensional optimisation rather than as assumptions that socioeconomic processes themselves are quantum mechanical. An illustrative 0-10 numerical application generates a baseline weighted sectoral risk of 6.85 and a topology-adjusted systemic risk of approximately 6.87. Under a hypothetical coordinated intervention scenario, adjusted systemic risk declines to approximately 5.71 while the proposed Net Resilience Readiness Index improves from 5.06 to 5.69, representing an illustrative improvement of approximately 12.6%. These values are demonstrative rather than empirical. The principal contribution is a unified analytical architecture capable of connecting systemic-risk detection, climate-finance integrity, electricity-market stability, smart-city digital twins, cross-sector infrastructure resilience and autonomous policy decision support within a common mathematically interpretable framework. Keywords: quantum topological data analysis; autonomous decision intelligence; geoeconomic fragmentation; systemic risk; climate finance; carbon transition risk; energy-market resilience; smart cities; urban digital twins; infrastructure resilience; persistent homology; multiplex networks; quantum optimisation; systemic contagion; policy intelligence