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

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.253)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## 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.

## Caution

The radial result neither establishes full quantum stability nor turns classical geodesic reflection into a coupling-generating decay.

## Primary source

Appendix N, §1.5, Leg 5: absent tunnelling solution, PDF p.265: "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"

## Machine

- url: /library-v2/LIB2-095/
- content_sha256: f29b5603bc812ef7a5d0ce87aeb9f0e00ae84ae79341d9496510c2297552fc25
- candidate_ids: C2-175

## Freshness

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