4182 — No Finite Binary Resolution Can Replace the Native Ternary Seam Cell Off the Origin
Aspect's arity gate allows a native ternary residual to be resolved either by a direct ternary mate or by coherent binary factorization. The latter is ruled out for every finite source-antiderivative tower off the seam origin.
Binary primitive repair advances the residual row by
For , is invertible, so no nonzero residual row can terminate after finitely many steps.
The live choices are therefore a direct source-derived ternary moving-seam cell or the complete infinite shift-space associator/current. Adding another finite binary rung cannot close the obstruction.
Checker result: 83/83.