# LIB2-188 — The registered free quaternionic fermion determinant is non-negative

- 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.305)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

On the registered orthonormalized branch module, det(mI + D) = m⁸(m² + 3)⁸ gives the source's free quaternionic fermion positivity.

## Caution

This free-sector result does not construct the required interacting chiral determinant-line trivialization.

## Primary source

Appendix T, §7, Proposition 7.5: free determinant, PDF p.322: "the quaternion commutant units commute with Dfree , and det(mI + D) = m8 (m2 + 3)8 exactly"

## Machine

- url: /library-v2/LIB2-188/
- content_sha256: d13c8c543c29af8291571463b64b83525c22e1f4c82d9b0f78f57e9475f004eb
- candidate_ids: C2-094

## Freshness

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