Propagation Is Not Enough: The Minimal Propagating-Torsion Extension Has No Vacuum Twist

The minimal propagating-torsion extension of Einstein–Cartan gravity — Einstein–Cartan gravity plus a kinetic term for the axial torsion, with one dimensionless coefficient κ ≥ 0 and κ = 0 recovering Einstein–Cartan gravity exactly — is executed against the two questions posed by the campaign's first-ranked re-opener. The re-opener asks for a structure beneath Einstein–Cartan gravity in which torsion propagates, and its deliverable is two-part: (a) a vacuum solution with background torsion T_bg ≠ 0 at spin density σ = 0, and (b) then the count, against the specification fixed in GAP8. The minimal member is the front door of that re-opener: if propagation alone freed the vacuum twist, it would free it here first. It does not. The extension is closed by a new forcing step, distinct from the algebraicity that closes Einstein–Cartan gravity itself. With the record conventions — torsion energy density ρ_T = M_P^2 T^2 and potential V(T) = +M_P^2 T^2 — the curvature of the potential at the origin is V''(0) = +2M_P^2 > 0 at every κ, with the numerical value V''(0) = 3.046284x10^68 in the units of the computation. The unique minimum of the potential is at T_bg/T_A = 0.000000 for every κ tested, including κ = 0, κ = 1, κ = 8.397867x10^35, and κ = 10^40. The extension's vacuum twist is therefore nonexistent. The kinetic term gives the twist a way to travel; the potential — torsion as positive energy cost, which is the Aldred Limit's own content — holds it at zero. Deliverable (a) fails for the minimal member, by the sign. The toll 3Ω_Λ = 2.055 is untouched. Propagation at the Aldred scale costs κ = (M_P/T_A)^2 = 8.397867x10^35 = q_post/(2π), where q_post = 5.276535x10^36. That value is an admission price at elasticity 1 — a dial setting, not an output. Every apparent contact between the extension and the toll is of the same kind: a solved-for dial, exhibited as a match under the pre-registered kill K-dial, including the ratio of two such settings, (2.055/2)^2 = 1.055756. The extension's complete dimensionless output set is {0, 1, rationals, dials}. No new pure number is produced. The durable product is a sharpened specification. A deeper member of the propagating species must satisfy, as theorems with elasticity 0: (S) a sign mechanism, V''(0) < 0 at σ = 0 in vacuum, with the crossing identity ρ_A = M_P^2 T_A^2 intact where spin density is high; (P) a pinning, the condensate T_min/T_A a pure number of the structure at elasticity 0 to all its couplings; and (b) then the count, per GAP8's specification, computed and never imported. Four wave-10 doors were specced against that specification and fired; their verdicts are folded into §8: the b(σ) door closed at the gate, the sign-mechanism class searched and empty, the parent-class census specced behind literature gates, and the scar-form decision delivered unadopted. The verdict of the computation is stated without qualification in §9: NOT SOLVED. The bar did not move. The run's inputs were ħ, c, G, and the record T_A only.