# LIB2-143 — The exhibited winding-to-Fibonacci functor defines the finite cluster image

- 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.126)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The exhibited functor has Fφ([N]) = τ⊗N, sends the mirror to the dagger and kills the four-strand Jones–Wenzl projector, Fφ(f4) = 0.

## Caution

The finite functor does not construct a continuum Yang–Mills functor or convert a categorical weight into an energy without the declared interface.

## Primary source

Paper 9, §2.1, The exhibited functor, PDF p.130: "Fφ sends the winding category to the Fibonacci category: objects Fφ ([N ]) = τ ⊗N ; the mirror is the dagger; the four-strand Jones–Wenzl projector is killed, Fφ (f4 ) = 0"

## Machine

- url: /library-v2/LIB2-143/
- content_sha256: f58b2a328bcca19582eaf170db0602f163aa52e11beb7b8c410cfe82d6c0f123
- candidate_ids: C2-073

## Freshness

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