Claims & Evidence Registrar › H04

LIB2-060 · The solar-angle readout is conditional on ordering and the propagation interface

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Derived-conditionalhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.58 (bytes of record)):

PMNS θ12 Theorem derived- normal ordering, assumed: mass ordering cond. ladder- and interface- (NO | IO), ladder- and conditional interface-conditional

Statement

Under the declared normal ordering, resolvent-ladder and propagation-interface premises, the solar-angle readout is tan θ12 = √3/ϕ².

Scope

carrierThe registered PMNS solar-angle readout
domainThe physical solar-angle attachment, not the internal reciprocal-square identity.
hypothesesNormal ordering is assumed.; The Structural Rd ladder is granted.; Its identification with propagation eigenstates is an undeclared interface.
physical targettan θ12
quantifierThe registered readout and its stated premises.
What this does not show. The readout does not derive the mass ordering or the ladder-to-propagation-eigenstate interface.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

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 5, §2, Solar-angle expression — PDF p.83 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

√ PMNS 3 tan θ12 = 2, (PMNS solar angle — THEOREM) (1) ϕ

Paper 5, §2, Ordering and interface conditions — PDF p.83 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The operative angle relations are (normal ordering — conditional on the Rd ladder, Paper 2 §3, and on its identification with the propagation eigenstates, an interface that is undeclared (Rev32.2);

Paper 3, §5.4, Current physical rows — PDF p.63 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Two physical rows sit at derived-conditional, each with its premise printed beside it rather than

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 3 §5.2–5.4, pp.58–59; Paper 5 §2, p.79—shippedThe supplied source states the conditional readout; no propagation-interface construction or numerical rerun is supplied.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printedpagedigit source
12PDF p.79 (bytes of record)closed form: the solar-angle expression in Paper 5 §2, Eq. (1); the radical and fraction are displaced in the extraction
3PDF p.79 (bytes of record)closed form: the solar-angle expression in Paper 5 §2, Eq. (1); the radical and fraction are displaced in the extraction
2PDF p.79 (bytes of record)closed form: the solar-angle expression in Paper 5 §2, Eq. (1); the radical and fraction are displaced in the extraction

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

usestatepremiserolewhy the house declared it · reads
USE-0031REVIEWED by lanes (R49c)PRM-031 (PRM-031/r1) — Normal ordering (the neutrino mass-ordering selector)hypothetical_assumptionHouse declaration under R84-h (R-27): S312 holds list: normal ordering seen in LIB2-060. — House reading: The record's statement opens "Under the declared normal ordering, resolvent-ladder and propagation-interface premises" and its first hypothesis is "Normal ordering is assumed". The solar-angle readout is stated only under it. CONDITIONAL.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)
USE-0032REVIEWED by lanes (R49c)PRM-033 (PRM-033/r1) — Propagation interface (the R_d ladder read as propagation eigenstates)hypothetical_assumptionHouse declaration under R84-h (R-27): S312 holds list: propagation interface seen in LIB2-060. — House reading: The record's hypotheses include "Its identification with propagation eigenstates is an undeclared interface", and its statement names the "propagation-interface premises". The physical solar-angle attachment (its domain) holds only under that identification. CONDITIONAL.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-046 The golden spectrum obeys the reciprocal-square identity—
rests_on_premisePRM-031 Normal ordering (the neutrino mass-ordering selector)p5_neutrino_cp_violation.tex:60 — "(normal ordering --- conditional on the $R_d$ ladder, Paper~2 \S3, and on its identification with the propagation eigenstates, an interface that is undeclared (Rev32.2)"
rests_on_premisePRM-033 Propagation interface (the R_d ladder read as propagation eigenstates)p5_neutrino_cp_violation.tex:60 — "on its identification with the propagation eigenstates, an interface that is undeclared (Rev32.2)"

Why this record is 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 lanesyes (2)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

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_literalPASSexercised
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
Track-2 claim idsD-MIX-01 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record.
serialss959
candidate ids (frozen list S304)C2-004 C2-058

Drafting-lane note

C2-004 and C2-058 are one physical-readout subject. The re-tiered scorecard column abbreviates the status as derived-cond.; the field uses the contract spelling, not the historical Theorem column. The displayed equation quote preserves extraction layout.

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 459b5449816dd6144d59755167971cd5b119659a396add56a1c1be8c84035de9

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-060 | 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