Manuscript VII-I@1 · VII-I.tex · section · 907e96ab
All repair routes, with separate verdicts
Later boundaries and the exact route decisions › All repair routes, with separate verdicts · lines 2114–2150
| Route | Positive result | Exact limitation |
|---|---|---|
| B1a: field convolution | Regular free algebra at positive width; classical smooth-field convergence | Explicit classical covariance defect (eq:convdefect); no unchanged gauge-invariant repair |
| B1b: density preparation | Microcausal insertion through coordinate order two; associative free sector; classical plateau covariance | Sharp limit has the transmission data (eq:transmission); not the original observable |
| B2: boundary carrier | Exact sharp classical admission, intrinsic boundary charge, Hausdorff topology | No sharp quantum product; unchanged regular approximants do not converge in this topology |
| B2: normal-topology Wick extension | Exact identification of the incompatible requirements | (Q1)–(Q4) cannot coexist through |
| B3: constrained coordinates | Classical equivalence and necessary quantum cross-contractions | Independent central coordinates fail exact elimination; nonlinear renormalized descent unresolved |
| Linear free-shell route | Sharp linear coordinate classes in the ordinary free quantum algebra | Does not prove a joint bilinear or interacting repair |