A Typed Stage Engine for Yang--Mills Interface Ledgers on Sph^4 From Jeevan Layers to Network Certification (FAO/10TWF), Evidence-Time, and Closure Gates

This monograph develops a stage-aware typed dictionary between a five-layer evaluative schema and standard structures in Yang–Mills gauge theory on a fixed four-sphere carrier. The framework introduces mismatch-kernel closure gates, a typed interface ledger calculus with node/edge separation, and theorem-level audited-rank identities. Network-level objects (Family Atom Objects, 10-unit tiered aggregates) are formalized with cohomological cycle obstructions. Additional structural layers include a gravity thread with Einstein cybernetics, optional SUSY enrichment, and a gauge-epistemic compatibility engine. All mathematical tools are standard;