Claims & Evidence Registrar › H05

LIB2-095 · The registered radial vacuum-decay route supplies no scale for alpha

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.253 (bytes of record)):

so there is nowhere lower to tunnel to and the Euclidean equation of motion has only the trivial solution: Sbounce = 0 exactly.

Statement

For the registered normalized radial potential, there is no lower vacuum to tunnel to and, under the stated premises, no nontrivial decay bounce; this proposed decay route supplies no dynamical scale to pin α.

Parts of the statement (3)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

Scope

carrierThe normalized radial potential VN(r) of Appendix N, Leg 5
domainThe tested radial Coleman-decay route, not a general quantum-stability statement about the full vacuum.
hypothesesUse the radial potential VN(r) = Λ⁴(e⁻²ʳ + 2eʳ − 3) and its stated minimum at r = 0.
quantifierThe declared source class only.
What this does not show. The radial result neither establishes full quantum stability nor turns classical geodesic reflection into a coupling-generating decay.

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.

Appendix N, §1.5, Leg 5: absent tunnelling solution — PDF p.265 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

so there is nowhere lower to tunnel to and the Euclidean equation of motion has only the trivial solution: no nontrivial decay bounce exists in this radial problem (positive canonical kinetic term; a regular finite-action solution approaching r = 0; vanishing boundary term), and the trivial vacuum has zero action relative to itself

Appendix N, §1.5, Classical reflection is not vacuum decay — PDF p.265 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The “bounce” of Appendix I is classical geodesic reflection off the Det = 0 wall (a metric-completeness fact), not a Coleman tunneling event; with no decay rate there is no dynamical scale.

Appendix N, §1.5, Electromagnetic coupling link absent — PDF p.265 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The bounce lives on the radial cone modulus, with no banked term linking it to the U (1)EM fibre kinetic coefficient α;

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryD905/A1088/A1089; s175, Appendix N §1.5, p.253—shippedThe source reports the radial-minimum check and decay-route rejection; the original run and referee returns are not supplied.

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 (3)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

findingscopestatewhatevidenceaffects this record's predicate?
A1647-F04
A1647
PROOFCONFIRMED"S_bounce = 0" names the zero action of the trivial vacuum, not a tunnelling exponent (e^{−S} with S = 0 would read as unsuppressed decay). The no-bounce result holds for the radial boundary-value problem under a positive canonical kinetic term, a regular finite-action solution approaching r = 0 and a vanishing boundary term — none stated. V_N/Λ⁴ = (y−1)²(2y+1)/y² verified.appendix_n_selector_fences.tex:42, :92–98, table :276; house recompute F04 (exact identity; V″(0) = 6Λ⁴).
paper: REV33.2_PENDING S329·A1647 item 4
no — the predicate is unaffected

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
serialss175 D905 A1088 A1089
candidate ids (frozen list S304)C2-175

Drafting-lane note

Current decay-route exclusion associated with nearest retired domain-selection candidate C2-175. The source’s stability language is restricted here to its explicitly named radial potential; no new vacuum theorem is added.

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 f29b5603bc812ef7a5d0ce87aeb9f0e00ae84ae79341d9496510c2297552fc25

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-095 | 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