This work presents L(6+7) Version 2, a strengthened unified variational framework connecting FRW cosmology, ΛCDM recovery, internal seven-sector response geometry, FLAMINGO hydrodynamical-to-DMO response, DESI DR2 BAO background constraints, KiDS-1000 growth/lensing posterior information, mesoscale unified-field reductions, vector photoproduction, entropy-time ordering, and Einstein-Rosen source-accounting gates. Version 2 keeps the claim boundary deliberately strict. The work does not claim that a single simulation release proves L(6+7), that quantum mechanics is replaced, or that a traversable Einstein-Rosen bridge has been constructed. Instead, it formulates L(6+7) as an empirically constrained unified-field candidate with explicit control limits, falsifiability gates, reproducible calculation layers, and a documented BAO/KiDS/FLAMINGO closure ledger. Contact: zigangirov@ukr.netORCID: https://orcid.org/0009-0001-8521-8740