Claims & Evidence Registrar › H10

LIB2-313 · Derive physical matching for the tau-anchored bottom 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 tau-pole-anchored bottom bridge be connected to the MS-bar bottom mass at its self-scale through an explicit physical matching relation with uncertainties?

Scope

carrierThe tau-pole-anchored bottom bridge and the bottom self-scale running mass
domainThe scheme-specific physical export of the bottom bridge, not a pole-mass conversion applied to an algebraic bridge.
What this does not show. A matching construction is not supplied, and the finite index alone does not establish a low-energy bottom-mass relation.

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.

Appendix X, Scheme-label declaration: bottom bridge is not a pole mass — PDF p.346 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

it is not a bottom pole mass, and no pole→ MS conversion is applied
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_x_zero_parameter_input_ledger.tex:139-140): it is not a bottom pole mass, and no pole→ MS̄ conversion is applied (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 2, §3.6, Missing scheme-matched comparison — PDF p.38 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

a scheme-matched Zmatched is not yet computable for either row

Paper 2, §3.6, Boundary-value rather than low-energy theorem — PDF p.39 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The mb , mc entries are therefore reported as boundary-value predictions, not as a derived low-energy theorem;

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryAppendix X Scheme-label declaration, p.326; Paper 2 §3.6, pp.37–38—shippedThe suite distinguishes the tau-pole-anchored bridge from a bottom pole mass and leaves physical matching unresolved. No conversion or threshold is calculated.

Open problem

charter refRev32.7 Paper 2 §3.6, pp.36–38; Appendix X Scheme-label declaration, pp.326–327
failure or reopen conditionTreating the bridge as a bottom pole mass is the source's category error; running from the tau scale or selecting a favourable scale does not close the printed audit.
obstructionThe current quantity is a tau-pole-anchored algebraic bridge compared directly with a running bottom mass. It is not a bottom pole mass and has no supplied scheme-matched uncertainty.
questionCan the bottom bridge acquire a physical self-scale MS-bar matching relation with quantified uncertainties?
success conditionDerive the physical matching of the bridge to the self-scale MS-bar object, with the conversion and theory uncertainties needed for a scheme-matched comparison.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-130 The bottom bridge retains its tau anchor and cross-scheme offset—
related_to (never evidential)LIB2-132 The tested untuned running and matching readings do not remove the heavy-quark offsets—
related_to (never evidential)LIB2-219 SL-16: MS-bar bottom mass at its self-scale—
related_to (never evidential)LIB2-311 Find a non-residue physical realization of the finite index normalization—

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
serialsA713 A724 A1531
candidate ids (frozen list S304)C2-021

Drafting-lane note

C2-021's OPEN matching task is separate from the retained bridge value G-134 and from G-315's broader non-residue index realization. No bottom-pole interpretation is introduced and no failure of all possible matching models is asserted.

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 34e1a82ac347e8c1d435a94419230f8b8b85aa838599b39fba02989d833f648f

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-313 | 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