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A registered result in its source context

Original ledger classification: Identity/Lattice [I]/[L] (exact integer/lattice identities)

Recorded statement: E8 SLICE COMPRESSION LEMMA (the seven E8 audit slices are ONE projection of two small alphabets; anti-numerology compression, NOT new physics): (1) the anchor power sums p_n(a)=2+2^n give P=(3,4,6,10) whose K4 edge products are all carrier…

Statement, assumptions and sources

Paper context: E8 audit and bootstrap

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

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E8.SLICE.01

Original ledger classification: Identity/Lattice [I]/[L] (exact integer/lattice identities)

Original claim text

E8 SLICE COMPRESSION LEMMA (the seven E8 audit slices are ONE projection of two small alphabets; anti-numerology compression, NOT new physics): (1) the anchor power sums p_n(a)=2+2^n give P=(3,4,6,10) whose K4 edge products are all carrier blocks (12=|R(A3)|, 18=N_fam|R+(A3)|, 30=h(E8), 24=|W(A3)|, 40=|R(D5)|, 60=D_start; triples 120,240,720) [I]; (2) the six Sheet-Diamond operators Q,K,R,C,L,F have determinants (3,4,8,14,20,32) summing to 81=N_fam^4 -- the total determinant charge of the flavour space [I]; (3) all SEVEN E8 248-slices (D8, D5xA3, E6xA2, E7xA1, F4xG2, A4xA4, A8) are written from P, D, Delta=p0+p3=13 and (e1,e2,dim S+) [I]; (4) one affine map row(C+sU+tV)=(7,11,13)+s(3,3,3)+t(1,2,3) generates every flavour row budget (democratic winding + A3 exponents) [I]; (5) dim E6 = 78 = p2*Delta = |R+(A3)|(N_fam+A_Lambda) [I]. The E8 atlas is thus a closed grammar over two typed alphabets, not seven trophy lists; the physical reading is AUDIT

Original classification detail

Identity/Lattice [I]/[L]: E8 atlas = projection of power-sum + determinant alphabets; audit bridge, anti-numerology

Dependencies as recorded

ARCH.SPINE.01; FLAV.KQ.01; CAR.SM.01

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Registered verification modules

  • v170_diamond_slice_compression.pyRegistered verification module · registry
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    E8 Slice Compression Lemma: the seven E8 audit slices are ONE projection of two alphabets — anchor power sums P=(3,4,6,10) (p_n=2+2^n) and Sheet-Diamond determinants D=(3,4,8,14,20,32). The K4 edge products (12,18,30,24,40,60) are all carrier blocks; ΣdetM=81=N_fam⁴; all seven 248-slices (D8,D5×A3,E6×A2,E7×A1,F4×G2,A4×A4,A8) follow from P,D,Δ=13,(e1,e2,dimS+); one affine map row(C+sU+tV)=(7,11,13)+s(3,3,3)+t(1,2,3) gives every flavour row budget; 78=dimE6=p2·Δ. The atlas is a closed grammar over two typed alphabets, not seven trophy lists. Exact; reading is audit (anti-numerology).

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