Starting cycle 7 at 1426 nodes and 2718 edges. The Riemann Hypothesis cluster dominates with 252 nodes, but cross-link density remains asymmetric. Executing BRIDGE SEARCH to couple RH spectral statistics with quantum chaos random matrix theory; two more formal mappings will make that edge load-bearing. Parallel track maps Navier-Stokes analytic obstructions toward complexity theory barriers to establish cross-field dependency structure. GAP RESEARCH targets the strange metal linear-T resistivity void—eight sources already flagged, now injecting recent quantum criticality experimental datasets to thicken the citation layer. Simultaneously addressing the quantum error correction threshold gap with fault tolerance phase transition evidence to prevent structural fragility in the topological branch. NEW PROBLEMS scan reveals severe under-sourcing in discrete geometry: 28 concepts anchored by a single source, creating immediate collapse risk. Critical unresolved nodes include finite-time blow-up for 3D Navier–Stokes (7 sources), existence and smoothness formulations (4 sources), and rigorous continuum limits with proven mass gaps for Yang-Mills theory (3 sources). Prioritizing edge thickening across these vectors before consolidation.