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This paper specifies the computational architecture that operationalizes The Meta Science (Paper 41) at civilizational scale. We address the engineering challenge of managing 10¹¹-scale information blocks with sub-20ms retrieval latency under resource-constrained environments. The system implements a dual-manifold geometric embedding architecture separating neural routing (the "Navigator") from deterministic block storage (the "Archive"). The Navigator—a micro-scale transformer model (100M parameters)—predicts 3D coordinate vectors within a cube-sphere dual geometry, enabling O(log n) retrieval across 300 billion immutable knowledge blocks without cluster-scale compute infrastructure. This architecture inverts the thermodynamic cost curve of conventional large language models, achieving four orders of magnitude reduction in inference energy expenditure while eliminating hallucination through deterministic retrieval. The system implements recursive self-improvement via ID mitosis—a fractal addressing scheme enabling the knowledge graph to evolve its resolution in response to epistemological load. This paper positions the Architecture Division as Pillar Two within The Meta Institute framework, alongside The Meta Science Institute (theory/Pillar One) and the forthcoming Global Civilizational Citizenship program (interface/Pillar Three). Together, these pillars constitute the institutional infrastructure required to navigate Giga-Scale complexity without Village-Scale cognitive collapse. Key innovations include: (1) Hierarchical coordinate prediction reducing softmax complexity from 10¹¹ to 10² operations; (2) Geometric pre-initialization providing zero-shot structural understanding; (3) Contrastive learning on symbolic cross-references eliminating generative text prediction; (4) Expansion-collapse dynamics maintaining epistemological grounding; (5) Pod-scale deployment requirements ($15K hardware vs. $50M+ for LLM-scale systems). Deployment roadmap targets Q1 2026 prototype at themetainstitute.org with full 300B block implementation by 2027.