Manuscript XI-B@1 · XI-B.tex · section · 063b989e
Decision and the XI-C handoff
Decision and the XI-C handoff · lines 1261–1313
| Gate | Result |
|---|---|
| One gauge fermion and frozen normalization | Constructed |
| Independent Nakanishi–Lautrup field | Retained |
| Ghost kinetic coefficient | |
| Graviton causal inverse | |
| Scalar equation versus Hessian inverse | Distinguished |
| Full auxiliary and ghost Green blocks | Constructed |
| Free causal polynomial algebra | Constructed, without a state |
| Off-shell free nilpotence | Proved with independent |
| Free product compatibility | Proved on the graded relations |
| Plateau residual algebra | |
| De Donder ramp coefficient | Propagated layer functional |
| Fixed-input Einstein jet | Not repaired |
| Stress-tensor vertex versus dressing | Not contracted |
| Hadamard Wick extension or VII-C hypotheses | Not established |
| Tree, mixed loop, interacting differential | Not constructed |
| Sharp-ramp limit | Not taken |
The ending is Constructed for the free gate. The existence of its causal Green operators is not evidence against XI-A's on-shell obstruction. Different equations are being solved.
XI-C receives:
the signed operator and its causal inverses;
the single gauge fermion, auxiliary equations, ghost normalization, and full free causal matrix;
the free graded polynomial algebra and its differential;
the residual-gauge result (eq:residual);
the classical layer formula, with its support qualifications;
the inherited vertex (eq:vertex), still uncontracted;
the distinction between the classical plateau action and a residual action on the gauge-fixed free graviton.
It does not receive a Hadamard state, Feynman prescription, tree, mixed loop, renormalized relational product, or interacting BRST class. The first future contraction must name its domain and its covariance; neither is supplied by the word “propagator.”