RFP-06: Inter-Edge Bridge Realization, Source–Stock Propagation, and Persistence Bottleneck Decomposition

Inter-Edge Bridge Realization, Source–Stock Propagation, and Persistence Bottleneck Decomposition

RFP-05 has already resolved the global-quantifier problem on the graph-theoretic side: under fixed positive node/edge thresholds, if for every N there exists a finite qualifying ancestry of depth N, and the graph has uniformly finite branching, then an infinite persistent ancestry path exists. This round upgrades C3-O's adjoint cutoff into a formal formation-transport tool: constructs exact field-value splice packets, proves bounded Littlewood–Paley projection visibility and frequency-localized heat survival, derives an exact inter-edge source–stock decomposition and a realized PDE-bridge ledger, converts bridge-bottleneck collapse into tracking-capture loss or bridge-multiplicity growth, and attaches explicit untracked/legacy/fresh bypass channels.