# LIB2-049 — The octonion-dimension to Jordan-rank ratio is an internal identity

- 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.148)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The ratio dim(Os)/rank(J3) equals 8/3 as an exact dimension ratio.

## Caution

An exact dimension ratio is not by itself a physical mass exponent.

## Primary source

Appendix A, §A.9, Exact dimension ratio, PDF p.154: "where p = 8/3 = dim(Os )/rank(J3 ) is an exact dimension ratio [A616]"

## Machine

- url: /library-v2/LIB2-049/
- content_sha256: ff9d2a92e3df0e76daaff0e75038732fb9ee041c170fca2c643d1899ed02e485
- candidate_ids: C2-056

## Freshness

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