Closed Accounts: Pair-Unity and the Threshold Sever, Spent in the Strong Sector

Two load-bearing steps of the pairing attack on the vacuum conversion are exported to the strong sector under tolls and kill conditions pre-registered in the Transplant Census (cells S1 x STRONG and S2 x STRONG), and the tolls are paid in public. S1, pair-unity: what exists comes in twos - a pair is one system with two addresses, its accounts summing to zero, its sever a partition of one bound system rather than a dissociation into two (premise P-14); at home it carries the residue form (N-M)/M and Paper 29's charge results (DOI 10.5281/zenodo.23768419). S2, the threshold sever: separation fires at a threshold denominated in the system's own count (at home Theta_c = 2pi x 411, declaration grade). CLOSURE TOLL: the pair-unity table of exotic hadrons must forbid at least one not-yet-seen configuration or price one open account's width from its closure defect. It does neither: every configuration the table forbids (an isolated color charge, a free color-octet pair, a string with one end free, a non-singlet hadron) is already forbidden by confinement itself, and no width in the exotic spectrum is priced by a closure defect. Verdict: the closure front RENAMES - pair-unity at hadron address is a bookkeeping isomorphism with confinement, not a mechanism; where it earned its keep at home it carried a count, and abroad no count was produced. SEVER TOLL: string breaking must play the sever, with the Theta_c-analog named in advance and one lattice ratio derived, not fit. The analog is the breaking radius in string units, r_break x sqrt(sigma): with sigma approx 0.18 GeV^2 and r_break approx 1.2-1.4 fm (published lattice values, used as stated), the number is 2.58-3.01, centered near 2.80, with sigma x r_break(1.3 fm) approx 1.19 GeV. But Theta_c is the same in every instance, and abroad there is exactly one measured breaking system, so the analog's universality - the property that would make it a threshold rather than a measurement - is untested. Verdict: the sever ratio is NOT DERIVED; the kill fires in weak form (one quantity plays the shape, nothing yet plays the role). The number is therefore filed as a pre-registration: any second string-breaking system in the same units either lands in [2.58, 3.01] or kills the rhyme. PAIRING FRONT (nucleon pairing against neutron-star cooling): graded RHYME and left unspent - the pair ledger prices no gap and no cooling curve. No home headline is spent in either direction; the vacuum catastrophe stands NOT SOLVED in the main program.