Follow a result back to its evidence.

CP.FIBER.PIN.01: the frame door of the CP mirror, decided (T178, contract FRAME.CARRIER) — R1 decided, R2 selected, the degeneracy explained (verdict FIBER-PINNED; no CP derivation anywhere): (1) the EULER FACTORISATION — the fiber acts on the frame by a scalar on the n-row, so every homogeneous block factorises P(ρn) = ρ^m P(n) (fully generic degree 1–4 polynomials, symbolic coefficients): every scale-free functional decomposes as Σ_k A_k Im(ρ^k) with A_k real degree-0 frame ratios — the fiber content is QUANTISED; (2) the NATURAL CLASS IS FIBER-ONLY (T177-R1, natural half, negative BY THEOREM) — metric-free invariants of vector tuples are generated by volume-form brackets (Weyl 1946 FFT, the one cited class boundary), and the exact enumeration on {1, d, n} gives ONE generator (six permutations = ±Δ, the other 21 brackets vanish identically in a generic n): every scale-free ratio is constant — no frame-coupled scale-free π/3-carrier exists without a metric, T177's obstruction sentence is now a theorem; (3) the METRIC DOOR IS NON-CANONICAL (R1, metric half) — declared metrics admit frame-coupled Tier-2 carriers, non-unique at BOTH levels: Δ/⟨d,n⟩ and Δ/⟨1,n⟩ carry (κ,σ,Ref) = (−1,−1,+1) (the odd Δ-power absorbs the reflection) while Δ²/⟨n,n⟩ carries (−1,−1,−1), and the admissible normalisers contain the continuum q_t = t·n₁²+n₂²+n₃² (deck-invariant for every t) with values 441·sin(π/3)/(25t+117) — NO canonical frame factor; anti-numerology wired as a check (21/8, 21/2, 441/142 pairwise distinct, none claimed); (4) the SINGLE-SINE LEMMA — {|Im(ρ_n^k)|} has exactly ONE nonzero element iff n is crystallographic (n ∈ {1,2,3,4,6} = {n : φ(n) ≤ 2}), by sin(4π/n) − sin(2π/n) = 2 sin(π/n) cos(3π/n) with its only zero at n = 6 on n ≥ 5, enumerated exactly to n = 24: the compiler's two clocks μ₄ (j = 1728) and μ₆ (j = 0) are the two MAXIMAL single-sine fibers, so value-based pinning is impossible by theorem — T177's DEGENERATE verdict was forced, not found (on μ₅, values DO separate carriers); (5) the ANCHOR SELECTION (T177-R2, selected) — the Jarlskog invariant on the TFPT CKM rebuild has full character tuple (−1,−1,−1) under (κ, σ, deck-Ref), each certified at 40 dps: it matches the sheet-ODD orientation class V5 and not the sheet-even P2 = (−1,+1,−1); the (−1,−1,+1) metric carriers are anchor-rejected and the matching family carries the continuum — the unique anchor-matching CANONICAL carrier is the fiber-pure Im(ρ) = sin(π/3); conditional on the anchor (selected, not derived), deck column a declared model, REG.FREEZE.01 untouched, no marker moves (22 checks, ~2 s)

Linked claims

CP.FIBER.PIN.01

Paper sections

Source section 1Source section 2Source section 3Source section 4