# LIB2-085 — The finite signatures require an internal structure or its equivalent proxy

- 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.270)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

In the declared comparison class, bare four-dimensional spacetime data without the equivalent noncompact modulus, twisted internal bundle or grading variable cannot reproduce the three banked signatures.

## Caution

This argument does not force a fifth physical spacetime dimension; a four-dimensional model may import equivalent internal data.

## Primary source

Appendix P, §2, Theorem 2.5: scope, PDF p.285: "A four-dimensional model that lacks the equivalent internal structure — a noncompact internal modulus, an internal H 1 (−; Z2 ) / w1 ̸= 0 twisted bundle, and an internal grading circle — cannot reproduce the three banked signatures"

## Machine

- url: /library-v2/LIB2-085/
- content_sha256: 73d8562d18e2632d8f8863dff75e28ba7790650f9b4dc4ba87949c2978dc1c5d
- candidate_ids: C2-026

## Freshness

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