Claims & Evidence Registrar › H10

LIB2-310 · Derive the scheme-specific weak-angle matching bridge

class OPENmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 7

Statement

Can the structural weak-angle target be connected to the Z-pole observable by a first-principles matching scale or a completed radiative bridge?

Scope

carrierThe structural weak-angle target and its physical matching prescription
domainThe physical scale, scheme and threshold bridge, distinct from the independent polarization postulate.
What this does not show. No matching scale is selected here, and the structural target is not promoted to an electroweak precision prediction.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Paper 4, §7, Running-scale and radiative-shift boundary — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

as a running value the matching scale µ⋆ is scheme-dependent and undetermined; (ii) as a tree value bridged by standard electroweak radiative corrections, the required shift is not uniquely fixed

Paper 4, §7, Matching scale remains to be derived — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The remaining task is to derive the (scheme- and threshold-dominated, sub-GeV/GeV-order) matching scale from the algebra

Paper 4, §7, Structural target rather than completed precision prediction — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p4_higgs_ewsb.tex:339-340): We therefore carry ϕ⁻³ as a ∼2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 4 §7 p.73; Paper 7 weak-angle benchmark p.108—shippedThe suite identifies the unresolved scale/radiative alternatives and failure condition. No running or threshold calculation is performed.

Open problem

charter refRev32.7 Paper 4 §7, p.73; Paper 7 primary falsification benchmarks, p.108
failure or reopen conditionThe source names failure to supply a first-principles matching scale or completed bridge as the weak-angle failure condition.
obstructionThe crossing scale is scheme-dependent and undetermined, and the required radiative shift is not uniquely fixed.
questionCan a first-principles scale or completed bridge connect the target to the Z-pole weak-angle observable?
success conditionDerive the matching scale with its stated scheme and threshold dependence, or supply the completed bridge to the Z-pole observable.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-199 The weak-angle value remains a structural target on a scheme-dependent curve—
related_to (never evidential)LIB2-200 The AX6 polarization postulate gives its readout without selecting itself—

Why this record is not PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesno (0)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalN/Aclass OPEN not governed by the source_labels rule
edges_resolvedPASSexercised
bindings_validPASSexercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedentsno legacy antecedent identified
serialsA697 A698
candidate ids (frozen list S304)C2-014

Drafting-lane note

C2-014’s retained structural target is G-203; this is its separate OPEN physical matching task. The independent AX6pol postulate is G-204 and is not discharged by an unspecified running prescription. The failure condition is paraphrased from the interleaved table on p.108, not presented as a repaired quotation.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 c9006a89f3b29b5ff5a5f2a7bd7d04f167a12171f71e60b54b5353f98ece19a4

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-310 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02