Manuscript X-G@1 · X-G.tex · section · 01566e14
Decision and final release
Decision and final release · lines 1878–1922
{}1.12
| Gate | Result and scope |
|---|---|
| Free BRST carrier | Constructed: independent auxiliary field, normalized fermion, ghost action, Green matrix, and causal differential. |
| Background ghost geometry | Constructed: natural operator, curvature formula, and pure-gauge commutator identity. |
| Unrestricted master action | The usual unchanged canonical extension is obstructed by the evaluated classical matter breaking. No full quantum master operation is constructed. |
| Exact source-preserving upgrade | Proved obstructed on the unrestricted X-F background class, with a nonzero pairing on free metric solutions. |
| G1: local fish | Finite-scaling-degree extensions constructed, with bounded local ambiguity. |
| G1: nonlocal insertion | Unresolved: the full mixed retarded product and its exceptional-set cancellations or extension are not constructed. |
| G2: one-loop background identity | Conditional on construction of the coefficient or quantum transport. Not released unconditionally. |
| G3: finite normalization | The required complete classification and anomaly-cancellation equation are not constructed. |
| G4: physical representation | Positivity, physical cohomology representation, and Kugo–Ojima analysis are not opened. |
| G5: changed coupling prescription | Whole-Lagrangian switching, spurions, compensators, and an adiabatic construction are not opened. |