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The integration of healthcare analytics across regional boundaries remains a critical challenge in modern population health management, where disparate data ecosystems hinder comprehensive intelligence generation. This conceptual manuscript proposes the population health intelligence mesh (PHIM), a novel architectural framework designed to facilitate seamless cross-regional analytics integration through a mesh-based topology that emphasizes interoperability, governance, and real-time decision support. Drawing from theoretical foundations in clinical AI architectures and healthcare informatics, PHIM conceptualizes a layered structure comprising data ingestion nodes, federated analytics hubs, and adaptive governance overlays to mitigate silos in electronic health record (EHR) systems and enable population-level insights. Key components include decentralized intelligence propagation mechanisms and feedback loops for dynamic system adaptation, ensuring resilience in diverse healthcare environments. Theoretical formulas are introduced to interpret risk propagation across regions, decision confidence aggregation, and governance load distribution, highlighting potential operational efficiencies without empirical validation. The framework addresses interoperability frameworks by synthesizing recent literature on AI governance and workflow integration, offering a blueprint for theoretical advancements in population health analytics. While focusing on conceptual viability, PHIM underscores the need for ethical monitoring and human-AI collaboration in cross-regional deployments, paving the way for future infrastructural innovations in healthcare systems.