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A registered result in its source context

Original ledger classification: Identity [I] (normal form + invariants + cross-links) + Audit (G2 reading)

Recorded statement: CENTERED FLAVOR DIAMOND (third review round 2026-06-11; all arithmetic validated incl. SNF) [I]: the v94 sheet diamond is a CENTERED CROSS - with the center C:=M(1,0)=(R+L)/2=(K+F)/2=[[4,3,0],[4,5,2],[5,5,3]] and the two axes U:=Q…

Statement, assumptions and sources

Paper context: Standard Model and flavor structure

The exact identifier, original classification and full claim are available below.

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FLAV.DIAMOND.02

Original ledger classification: Identity [I] (normal form + invariants + cross-links) + Audit (G2 reading)

Original claim text

CENTERED FLAVOR DIAMOND (third review round 2026-06-11; all arithmetic validated incl. SNF) [I]: the v94 sheet diamond is a CENTERED CROSS - with the center C:=M(1,0)=(R+L)/2=(K+F)/2=[[4,3,0],[4,5,2],[5,5,3]] and the two axes U:=Q diag(1,0,0)=N_fam*1e1^T (WINDING axis: rank 1, Spec {3,0,0} = pure family charge) and V:=Q diag(0,1,1) (SHEET axis: rank 2), one has exactly Q=U+V and R=C-U, L=C+U, K=C-V, F=C+V: the five objects (R,K,L,F,Q) collapse to three (C,U,V), and the v94 winding line IS the U-axis (L=R+2U). CROSS-LINKS (beyond the review): (i) Spec(V)={0,1,2}=N_fam*{0,1/3,2/3} - the sheet axis carries exactly the cusp class of v69/v72 (Q_+=3*cusp+1 had {1,2,3}); (ii) sum C=31=2^g_car-1=1+h_vee(E8) is the SAME 31 as the IR gap-bound numerator ||V_metric||<=248c3^2=31/(8pi^2) (v63/v76); (iii) det C=14 = constant term of chi_[K,Q]=t^3+5t+14 (v80) and sqrt(sum B_F)=sqrt(196) (v94); (iv) Pi_R(C)=7*(2,3,1) shares its ray with Pi_R(L)=10*(2,3,1) (scalaron-7 vs decuple-10 scaling of one direction). Center invariants: tr C=12, det C=14, SNF(C)=(1,1,14), det B_C=28=2*14, Pi_L(C)=(0,14,14). HONEST TYPING: the 'G2 center' reading (14=dim G2 as det/Pluecker entry/half anchor block) is an AUDIT Lie-dimension match exactly like 78=dim E6 or 52=dim F4 - recorded, not promoted; the load-bearing content is the exact normal form and its integer invariants. Docs: tfpt_2 Sheet-Diamond winbox extended; research_contracts opening now carries the operative aliases Rest_operativ = v_geo (+) G_net (+) F_transfer

Original classification detail

Identity [I]: one center + two axes; cusp class on the sheet axis; G2 reading audit-typed

Dependencies as recorded

FLAV.DIAMOND.01; FLAV.PLUCKER.02; FLAV.QGEO.01 (cusp class); GATE.GMETRIC.XI.01 (31)

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Location recorded in the ledger

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Registered verification modules

  • v95_centered_diamond.pyRegistered verification module · registry
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    Centered flavor diamond: one center + two axes — Q = U+V, R/L = C∓U (winding = pure family charge, Spec U = {3,0,0}), K/F = C∓V (sheet, Spec V = {0,1,2} = the cusp class); center: det C = 14, SNF (1,1,14), ΣC = 31 = 2^g−1 (the IR gap-bound numerator), Pl_R(C) = 7·(2,3,1) on the same ray as Pl_R(L) = 10·(2,3,1); the G₂ reading stays audit-typed, not promoted

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