Hinge Theorem export

The Hinge Theorem closes Book III by turning the carrier construction into an export contract. Every result in Books IV – V must be a sector instantiation of the E_1 enrichment just constructed: microphysics is read off the T^2 fiber, macrocosm off the τ^1 base, and inter-sector coupling off the No Knobs ledger, with the III.R40 temporal-spatial decomposition fixing the base/fiber export grammar. The later books are therefore not independent physical theories attached to the mathematics. They are typed readouts of the Book III carrier.