Records as Credentials: Interior Identifiability, Restoration Laws, and the Complementarity Dividend

The exterior identifiability theory (papers 1-3 of this program) is turned interior: in the collision-model architecture of quantum Darwinism, the causal structure itself hands out operation credentials, and the question becomes whether the world can certify its own factorization from the records it keeps. Generator level: one-sided sufficiency with a closed-form sine law; the parity-twist theorem (redundancy is structurally powerless against exactly one global ghost); four restoration laws with derived constants (tilted writes (4/3)/sin^2 eta; second readout basis 8/5 exactly; one odd-dimensional cell free, with the interior/exterior quantifier reversal; dissipation (4/15)(5+p)/p: objectivity needs an open world). Statistics level: the chain law (relational timing with gentleness dampers), the complementarity floor with interior optimal write strength, and the dividend: weak records at the interior optimum extract MORE frame information than projective records, superlinearly (~K^1.85, sustained through K = 10, factor 5.1 at K = 10), with mechanism (shared-fragment covariance conditioning), the readout gap split in half (product bases recover half the quantum-Fisher gap at every K), and re-collision potency with an intra-fragment two-time accumulation mechanism confirmed two ways. Pre-registered; deaths ledgered.