The Profile Alone: The Unanchored Reading Fails in Every Cell — and the Construction-Output Ground Ruled on the Precedents

Works both surviving objects of item D-361-409-45 after paper #613 (the completed reading -- paired saturated-step profile plus two seed cells -- holding on the whole stated grid, its grammar ruled: the seeds are a new species as parts of a statement, requiring a ground the record does not print), attempting each in the open, at INCREMENTAL grade. Gated first on paper #613's notebook body whole and digit-for-digit, the chain body, the completion exhibits and the grid and census exhibits among the gates. The unanchored reading -- the profile alone, no seed cells, as a reading of 'recovers the amplitudes' -- is tested cell by cell on the whole stated grid (four endpoint pairs crossed with the oscillator, free and constant-potential V = 5 kernels, twelve cells): in every cell the horn counter-density shares the cell's profile at 4.478e-17 to 4.964e-17 while differing in 5,999 of 6,000 cells (largest cell difference 0.165985 in the oscillator cells, 0.159155 in the free and constant-potential cells), in rectangle (differences 0.000333 to 0.015717 across the grid; the priced cell 0.066393 against 0.082110) and in endpoint integral (differences 0.017599 to 0.210394; the priced cell 0.441980 against 0.652374), and a second counter-density built by scaling the first seed instead fails the same way in every cell (identities 4.697e-17 to 5.054e-17). The profile alone recovers the amplitudes in no cell: the unanchored exit closes as attempted-and-failed, exactly as paper #614 closed the bypass exit -- an honest narrowing, not a closure of the item. The ground question is censused and its strongest candidate tested at full strength: the seeds as the sliced construction's own first outputs, claimed as the law's own data under the census's species A. Computed: the twelve cells carry nine distinct seed pairs (the two one-sided endpoint pairs coincide in each potential, by the construction's symmetry in its endpoints; smallest distance between distinct pairs 0.047208), each computed from its cell's density. Ruled, from the census precedents: species A constants stand in their law's equations and are the same at every application, while the seeds stand in no equation of the construction, vary across its applications, and are recoverable only by building the object they seed -- outputs, of the anchor species' kind; and the construction at stated inputs produces the whole density, so the candidate ground would make the profile idle. The ground exit stands priced as requiring an object the record does not print. INCREMENTAL; derivation-independence count 0. Route (a) not proposed; the eight factored classes stand; route (i) discharged; paper #167's Door two untouched. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.