Manuscript XIX-E@1 · XIX-E.tex · section · 702f146e
The preceding stages and the necessary scope corrections
The preceding stages and the necessary scope corrections · lines 233–312
| Stage | Supplied result or inventory | Conclusion not inherited |
|---|---|---|
| XIX-A | Four labelled objects and classical detecting nonidentities | A common physical clock, common functional, or quantum upgrade |
| XIX-B | Mismatch of one direct first-coordinate comparison | A common coordinate field through that route, or a quantum anomaly |
| XIX-C | Finite incidence interfaces and continuum non-determination | Native continuum evolution, dynamical cone, or invariant physical speed |
| XIX-D | Quantum input inventory and nontransfer criteria | VI certificate closure, lapse gauge closure, or native quantum evolution |
This table summarizes supplied manuscripts XIXA,XIXB,XIXC,XIXD. Its entries are not premises of the independent comparison proofs below.
coordinate mismatch has a precise target. XIX-B compares VI's first coordinate coefficient with the prepared coefficient . After the specified signature transport and equal ordinary zero Cauchy data, its detecting forcing difference is
That paper does not compare the complete matter scalar directly with a coordinate coefficient. Nor does its coordinate mismatch establish nonidentity of every possible complete observable, whose scalar legs would also have to be matched XIXB.
The compact scalar-switch defect is another classical identity. It is not an obstruction to smooth harmonic-coordinate existence, and it is not a loop anomaly.
fourth stage is an audit. XIX-A/B/C are classical or finite-interface stages. XIX-D is a quantum-certificate inventory, not a completed quantum theory. Its elementary comparison channels do not become the native incidence dynamics XIXD.
quantum updates are not excluded. A finite register can have a complete quantum channel, instrument, or unitary implementation. The missing conclusion is a specified native continuum evolution or a clock-defined quantum evolution without external time, not the existence of every finite quantum update XIXC,XIXD.
constructed kernel is not erased by a partial witness. The supplied XVI-H record reports a compact general-test three-slot kernel under its stated root inputs. The partial object is its selected contraction to witness data. We do not relabel the reported kernel itself as merely a partial kernel CheungXVIH. Its full-kernel admission and quantum-product obligations remain separate.
and later analytic gates are not conflated. XIV-H's H2 amplitude gap is the stop within that sheet. XIV-I subsequently reports a constructed internal I2 amplitude module and a remaining I3 joint-map gap. XIV-J reports a supported-sector reference and a remaining full-map gap at J2 CheungXIVH,CheungXIVI,CheungXIVJ. The shorthand “H2/I3/J2 unresolved” must not erase that narrower I2 advance.
Displayed formulas in this passage
unlabeled · line 268