# LIB2-311 — Find a non-residue physical realization of the finite index normalization

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

## Statement

Can the finite 7/3 index normalization acquire a physical realization through a non-residue, index-theoretic exceptional-field-theory construction?

## Caution

The finite index theorem is not itself a low-energy mass relation, and the signed-residue route remains excluded.

## Primary source

Appendix I, §8, Amplitude-bridge boundary: surviving question, PDF p.222: "What stays open is only whether a non-residue, index-theoretic exceptional-field-theory realization exists; the 7 survives as the finite-carrier index (Appendix K), not as a signed amplitude."

## Machine

- url: /library-v2/LIB2-311/
- content_sha256: 5a34f41f495ac921569b110b26094224b18deab2708b156b029877b55151893b
- candidate_ids: C2-044 C2-054

## Freshness

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