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A Quantum-Optomechanical Framework for Geopolitical Constrictions: Modeling the Strait of Hormuz Blockade Dynamics Abstract The strategic maritime chokepoint of the Strait of Hormuz presents a complex geopolitical challenge, particularly amid escalating conflicts between Iran, Israel, and the United States. Recent diplomatic developments, notably Iran's explicit assurance that Indian vessels will not face disruption, suggest a highly selective, non-linear approach to maritime blockades. This paper proposes a novel interdisciplinary framework that models this selective geopolitical blockade using isomorphic principles derived from quantum physics , specifically photon, Coulomb, and chirality blockade phenomena . By conceptualizing the Strait as a macroscopic quantum dot or optomechanical cavity, we map the discrete transit of national vessels to the tunneling of photons and electrons under external constraints. This theoretical approach provides a robust mathematical foundation for...

Pareto Optimality in Modern Economics: Theoretical Foundations and Algorithmic Applications Abstract Pareto optimality has long served as a foundational concept in normative economic analysis, defining a state in which no individual's utility can be improved without diminishing the utility of another. As modern economics intersects increasingly with computer science, the application of Pareto principles has expanded from classical market equilibrium models to complex, algorithmic decision-making systems. This paper explores the transition of Pareto optimality into algorithmic resource allocation , multi-objective machine learning , and collective agency modeling. By reviewing contemporary literature across these interconnected domains, we identify significant computational and theoretical bottlenecks in existing methods. Ultimately, we propose a unifying methodological framework that leverages advanced scalarization techniques and approximate fair division metrics, outlining a hyp...