# LIB2-055 — The finite carrier fails the cylinder-condition count

- 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.269)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The banked carrier requires the invariant dimension signature (1,27,27,1), whose count does not close on the cylinder-invariant subspace.

## Caution

The count is a statement about banked objects, not a proof that physical spacetime has an additional dimension.

## Primary source

Appendix P, §2, Theorem 2.2: cylinder-condition count, PDF p.284: "The classical Kaluza–Klein cylinder condition (no dependence on the internal coordinate) is inconsistent with the banked content: the required invariant decomposition has dimension signature (1, 27, 27, 1), and the count does not close on the cylinder-invariant subspace."

## Machine

- url: /library-v2/LIB2-055/
- content_sha256: 26c9b76031b0134c76fa2b46d93fab4e61b2e736c64884fb614568fbdc04e9b2
- candidate_ids: C2-025

## Freshness

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