Manuscript XII-A@2 · XII-A-v2.tex · section · 955d4b22
Proof ledger and final decision
Proof ledger and final decision · lines 1805–1888
The release has three distinct kinds of mathematical dependency.
| Status | Statements |
|---|---|
| Proved here | Operator-kernel equality; action inverse checks; product and contraction convention; reduced and full separation; smoothing; regular quotient; free-shell descent; differential cancellations; seed corrections; sector stability; delimited continuity; detector robustness; regular time-slice identification |
| Frozen predecessor data | The normalization identities, finite-ramp kernels, stress kernel, and identification of the named composites with XI-B/XI-E XIB,XIE |
| Copied theorem | The observation-qualified cubic class obstruction and F1 witness, stated as Input theorem input:XIG, from XI-G XIG |
| Standard analytic input | Wave Green support and Cauchy theory; wavefront product, composition and pushforward calculus; normal-topology operations under the checked support and cone hypotheses BGP,Hormander,HW,BDH |
The regular ordering equivalence is also situated in the standard deformation-quantization framework FR; its intertwining and descent formulas were proved explicitly above.
| Question | Ending | Exact scope |
|---|---|---|
| Polynomial quantum carrier | Constructed | One product and full-shell quotient |
| Regular free presentation | Constructed | Deformed, not commutative, quantum source |
| Named composite sector | Constructed | Formal completion; unchanged-seed ordering stability proved |
| Ordering transport | Constructed | Grading, cocycle, shell descent, classical-symbol identity |
| Continuity | Constructed | Named stages and global separate continuity only |
| Detected cubic shell class | Proved obstructed | Relative to the explicit XI-G input |
| Undetected observations | Unresolved | Detector vanishing is not a cone decision |
| Einstein subshell | Unresolved | No smaller-shell no-go inferred |
| Global hypocontinuity and completeness | Unresolved | Not released |
| Enlargement | Not opened | No nonexistence theorem claimed |
The classical plateau coefficient ledger of XI-F remains an identity on smooth configurations and is not promoted to a quantum representative XIF. No X-H density switch or identification with a different ramp kernel is imported.