Manuscript I-B-VP-1@1 · I-B-VP-1-v1.tex · section · 6d700be9
Ledger update and conclusion
Ledger update and conclusion · lines 1370–1482
{}1.12
| Object or problem | Status here | Exact boundary |
|---|---|---|
| Object or problem | Status here | Exact boundary |
| Friedrichs regular one-point data | Retained | The cited Wick square, stress, and current are unchanged on every regular-part test. |
| Apex finite parts | Constructed | Strong distributions on the smooth completion of Assumption ass:completion. |
| Simultaneous Ward identities | Constructed | Conservation, mixed trace, and improvement for the prescribed smooth Ward representative, not an unrestricted singular-connection derivative. |
| Contact ambiguity | Classified | Dimension for generic charged sectors, for the real neutral problem and self-conjugate charged sectors, under Assumption ass:class. |
| Strict normal homogeneity | Generally obstructed in this class | The nonzero residues in (eq:allresidues) cannot be removed by its finite contacts. |
| Canonical physical apex renormalization | Open | No core model, defect action, or intrinsic singular-metric normalization is selected. |
| State or field algebra at the apex | Not constructed | Extending one-point c-number distributions is not extending the quantum theory to the completion. |
| Non-Friedrichs, massive, thermal, spinor, interacting cases | Open here | No such extension/state calculation is supplied. |
precise V1 advance. The Friedrichs one-point extension question is partially resolved: a concrete completion prescription exists, its direct-cutoff defects are repaired, and its residual contact space is fully classified. The original demand for a uniquely normalized or intrinsically defined apex observable is not thereby resolved. V2, V3, and V5–V8 of I-B-VP retain their stated scopes; I-B-VP-0's current evaluation remains its separate regular-part achievement CheungIBVP,CheungIBVPZero.
-sourcing and unchanged programme boundaries. A prescribed distributional extension is not a field equation. No Maxwell equation, semiclassical Einstein equation, backreaction solution, spacetime emergence, or interacting Ward theorem is constructed. The non-sourcing distinctions of I-B and X-A-ST remain unchanged CheungIB,CheungXAST.
No external OpenAI catalogue entry is a premise. No
characteristic graph coefficient is constructed by this
one-point extension. In particular, the existence of technical
XV-B manuscripts is not the opening of its distinct downstream
quantum-admission exit CheungXVB,CheungEn09.
O.1 remains NOT_CLOSED{} wherever it was not independently
closed; XVI-N is not discharged; bulk_ symmetry_ restored{} is not promoted
CheungOOneST,CheungEn09.
These restrictions do not deny the free-field distributions
proved here.