The Residue Is Not Free: The Toll as the Books' Balance Plus One Defect, Every Single Premise Priced

Target M2 of the books-science correlations record: the toll as the residue of the zero-sum, attacked with the books' equation 0 = (+1) + (-1) (extract E3) as ansatz. The decomposition 411/400 = 1 + 11/400 is exact, and the residue is seam arithmetic u/(1-u) at the declared u = 11/411 (explicitly not the fossil share delta = 11/400, paper #238's Guard 1). Over the 21 counts admitted by the joint wake system the residue k/(411-k) takes 21 distinct values; only k = 11 returns 11/400. The single-premise census prices every admitted move: R1 as a species selects none of the 21 (the wake map is a bijection, verified by inversion for all 21), and the R1 instance that balances carries information in exact bijection with the declared count; R3 literal returns k = 411 and a singular toll, R3 fractional balances only by spending p = 11/411; R2 balances only as a joint statement of two independent coordinates, at declaration grade; R4's exhibited species all fail; the direct restatement is the standing declaration; three single-premise retirements move the count wrong, enlarge the model set, or delete the target. Theorem: no single-premise addition or retirement in the admitted species balances the crossing exactly without declaration-equivalent content. The minimal balancing premise (an R1 instance at f_W = 15479/20000, or the R2 joint profile) is exhibited and priced at DECLARATION grade. Fence held: 411/400 is not produced; m and R1 are never derived or declared; no premise is adopted. Grade DERIVED-INDEPENDENT, argued explicitly as a priced impossibility. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.