Original ledger status
DIAMOND.SPECTRAL.01
DIAMOND.SPECTRAL.01
SPECTRAL RAMIFICATION LADDER (2026-06-15): for Q,K,C,F the characteristic polynomial splits as (t-r)(t^2-bt+c) with r rational, and the full cubic discriminant factors as Disc(chi)=q(r)^2 Disc(q): squares |q(r)| in {1,3,4,6}=(N_Phi,N_fam,|mu4|,|R^+(A_3)|), kernels Disc(q) in {13,48,65,105}=(Delta_Q, Omega_adm, g_car Delta_Q, N_fam g_car 7), with Delta_Q=13=b^2+s^2=|R(A_3)|+1 the carrier-split norm (v14). The missing corner F carries the kernel 105=3*5*7=family*carrier*scalaron. Exact identity. (Audit blocks in the same module: the anchor-defect spectrum Delta_a(Q,K,R,C,L,F)=(8,16,18,21,24,26) and the pair-sum atlas/determinant staircase are AUDIT fingerprints -- the 28=2 dim G_2, 52=dim F_4 labels stay audit-only, not spine; F as transfer-completion corner is a HEURISTIC, not a hard filter)
Recorded status: Identity (exact)
Dependencies, status detail and source
Canonical status: [E] Disc(chi)=q(r)^2 Disc(q) for Q,K,C,F: squares (1,3,4,6), kernels (13,48,65,105); audit/heuristic blocks honestly typed
Dependencies: v14_carrier_uniqueness.py; v94_sheet_diamond.py
Scripts: v218_diamond_axis_geometry.py
Location: tfpt_2_standard_model
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