No Tenth Route: The Coupling Coordinate's Selecting Objects, Inventoried and Exhausted

Works the coupling residue of item D-202-219-61 (paper #216's Tolman entropy chain) alone at its Wave 24 shape -- X0 = 0.5 unprovenanced on nine priced routes and species, the discharge failed with the band 0.010756 at factors 2,689 / 107.56 / 2.0003 against the parents' own precisions for the floor -- and proves the exhaustion at a stated scope: no tenth route exists inside the record, at INCREMENTAL grade, an honest non-closure. Gated first on the parent's whole body digit-for-digit (invariant 172.880000, predicted floor 18.994623, orbit floor 18.994627, present coupling 2.321875, the leverage table, the census exhibits F1-F5 and the discharge arithmetic). The paper inventories every printed object of the chain involving the coupling coordinate (seven objects) with every selector kind such an object can carry, and computes the three selectors no earlier paper computed at their objects: stationarity (the invariant and the floor strictly monotone, derivatives -0.2 and -0.010756 vanishing nowhere; the present coupling's unique maximum at 3.595983 with G = 432.450000, its derivative at the exhibit value 13.912500), the step map's own fixed set (0, together with the dead-zone half-line from 4.530655, the root of x^3 = 93, where the step's coupling has switched off), and the invariant's level set as a set (a curve through (19.1, 9.825) and (19.2, 19.200) as well as the exhibit point). The assembled selected-value set of the record contains 0.5 only as a presenter start and as another leg's constant. The newest wave's twelve manuscripts add no apparatus (searched; the invariant and the floor appear in none except the parent paper itself). The bypass door -- the invariant rebuilt on a basis that does not carry the second coordinate -- is priced as a construction owed, stated nowhere in the record. What remains: a provenance whose selecting object is not printed (new stated physics or mathematics), the bypass construction, or a discharge under a tolerance printed for this floor; the attractor gap and the branch gap stand at their printed sizes, untouched. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.