Chapter 120: The D→C Bridge Apparatus

Three registers tell: the empirical register reports what is observed, the practical register prescribes what should be done, and the diagrammatic register certifies what can be proved. The fourth register demands doing: the commitment register asks what one is willing to live as true. The gap between knowing and committing is not a failure of logic but a structural feature of the register architecture. This chapter constructs the formal bridge functor B_{D → C} : S_D → S_C from diagrammatic content to commitment-eligible content, proves that the bridge is faithful precisely when restricted to the Logos sector S_L, and establishes that register identity is preserved everywhere outside S_L.