The Closure in Both Dialects: The Canonical Coefficient on the Condensate Bench, and the Factor of Two That Comes With It

The first joint computation of the Einstein-Cartan closure's three decided papers: #233's action-decided closure factor (canonical lambda = 1/16 from a stated action, contorsion solved from fixed conventions; direct-torsion variant 1/4; halved coupling 1/64; the printed 1/8 produced by no extremized action in the family) and #239's exact factor-of-two discrepancy (both densities re-derived in one convention system, ratio 2.0000000000, no convention able to absorb it) stated in #237's condensate bench variables (filling N, coherence P, surface S(N,P) = P^2 + (1-P^2)/N in units of ((hbar/2)n)^2). Gated first on all three parents' exhibits digit-for-digit (#233's sympy derivation; #237's surface, Monte Carlo worst deviation 0.0052 against its printed 0.0059, its peak-density table and level-1/2 curve; #239's coupling 2.076647e-48, balances 4.8589e54 / 9.7178e54 / 1.9436e55 g/cm^3, convention test, coarse-graining sweep, exact-gas zeros 1.2656 and 5.0625 Planck densities). The translation is L = 4 coef: the stated closure is bench level 1/2 (0.5000, #237's own curve for the then-owed dressing) and the canonical closure is bench level 1/4 (0.2500) -- the factor of two survives translation exactly. The two levels are disjoint curves of physically distinct states: born at fillings 2 and 4 respectively, wanting coherences 0.7057 and 0.4971 at filling 260, settling at 0.7071 and 0.5000 at large filling, with rms spin densities 9.192e13 and 6.500e13 hbar/cm^3 at peak density (ratio 1.4142). Verdict: the bench closure inherits the DISCREPANCY, not a convention -- N and P are measured quantities and any common rescaling leaves the level ratio at 2 -- while #237's fence stands: the bench tests the surface, never the level, and cannot adjudicate between them. Paper #351, the first joint citer of the three parents, is cited and not redone. EXTENSION; derivation-independence count 0. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.