Abstract

We construct a local operational adaptation of the classical descent problem of Manuscript III on the prescribed conical spacetime of I-B. A necessary domain correction is made first: the full regular conical product is not globally hyperbolic. Our evolution and quotient results therefore concern an explicitly supported finite-propagation laboratory inside a regular developing chart, with no incoming boundary data and no interaction with the singular worldsheet.

Within this laboratory we prove the exhibited Poisson-symbol obstruction, the local Killing classification of massive free-shell tangency, first-order jet descent with a past-trivial harmonic section, and a Hausdorff well-posed quotient for the vacuum-metric triangular model. We construct compact coupled Ward pairs with strictly positive on-shell value and distinguish them from an adjoint-exact family that vanishes on shell.

A complete destructive clock instrument is attached through explicit time, rod, and causal dictionaries. We prove its reference-preserving identity and construct a finite evaluation encoding of the descended observables. An explicit three-qubit pilot realizes four compact Ward evaluations with integer values $j(k+1)$, $0\le j\le 7$, $0\le k\le 3$. Target-adapted SWAP transport and causal classical record wires give an exact finite endpoint-channel certificate.

The release is Grade S under the definition given here. The geometry, equations, support restrictions, and finite encoding are inputs. No global conical Cauchy theorem, continuum field instrument, sourced Einstein–scalar completion, derived metric, or inherited quantum coefficient is constructed.