A registered result in its source context

CELEST.DTERM.NONDERIV.01

Original ledger classification: Formal/Identity [E] (exact convention/enumeration/lattice/index arithmetic -- sympy/Fraction, no floats, Wolfram-mirrored); the v511 [C] fence '1920 = |W(D5)|' TEXT-SHARPENED to look-elsewhere-loaded and convention-contingent (fence stays [C]); [O] the physical justification of the cubic GS term and the generation of the 32

Original claim text

THE c_d NEGATIVE CERTIFICATE -- CAN GEOMETRY DERIVE c_d = 1920? (2026-07-22; anti-numerology certificate in the v508 style, honest rigid NEGATIVE result; 24 checks, ~2 s; NO marker moves -- the v511 [C] fence stays [C] and is text-sharpened only, the physical generation of the 32 stays [O], CELEST.SEAM.01 stays Open): the v511 full-tensor ledger found exactly ONE legal cubic channel (the su(4) d-symbol, Q_dd = (1/60)(T3 - P3/4)) with the relaxed solution A_fix = -u + 8v + 2w + 1920 Q_dd and the [C] fence 1920 = |W(D5)|; this module stress-tests the fingerprint via four candidate routes with a PRE-DECLARED look-elsewhere ledger. [E] CONVENTION TABLE: c_d in {1920, 120, 256, 32, 69120} across five normalisations (probe tr-fund/e8-Killing; Gell-Mann; su(4)-Killing; plain trace; ch3-normalised d/6) -- only 1 of 5 hits |W(D5)|; the convention-STABLE content is the factorisation c_d = Phi_T3(A_fix) x 2 h_vee(E8) = 32 x 60, both factors [E] (Killing propagator 60 from sum_alpha <alpha,e>^2 = 120 over the actual roots; T3-slot fixing via det(P-block) = -64 != 0: c_d is pinned by the T3 slot alone). [E] K1 DEAD: the charge-legal flux pairings (1,3)/(2,2) give 2048/1800 -- they BRACKET 1920 and both MISS; the only flux hit 64*60/2 is the FORBIDDEN (1,2) pairing (charge 3 mod 4, killed by the v511 innerness theorem); LOOK-ELSEWHERE LEDGER: 924 expressions from 21 [E] numbers x grammar {a*b, a*b/2, a*b/4, a+b}, 11 hits on 1920; control targets 1800 -> 8, 2048 -> 5, 2016 -> 0 -- the catalog's multiplicative structure makes any smooth number near 2000 easy to hit. [E] K2 (quantisation gives only a lattice): integer couplings in tr-fund units + e8-Killing propagator put c_d in 60 Z -- 1920 is the 32ND multiple, no minimality; strict ch3-unit couplings (6 Z) give 2160 Z and EXCLUDE 1920 outright; the cubic quantum is lattice-dependent (6 on coroots, 3/8 on weights); the residual integer 32 has 12 signed factorisations, nothing forces it. [E] K3 PROVENANCE CLASH (the death blow to the index route): the su(4) cubic indices per class are A_m = (0, 16, 0, -16) with twisted sum sum_m i^m A_m = 32i, NUMERICALLY equal to Phi_T3(A_fix) = 32 -- BUT the quartic class decomposition (10, -4, 30, -4) is dominated by classes 0/2 while the cubic 32 is built 16 + 16 from classes 1/3: same number, disjoint mechanism = coincidence exposed; the Weyl side is WRONG (the d-channel is an A3-side object, |W(A3)| = 24; D5 has no cubic invariant at all, Inv(S^3 45) = 0; |W(E8)|/|W(A8)| = 1920 is a second accidental 1920 inside E8 combinatorics). [E] K4 NEGATIVE CONTROLS: SO(16)/D8 fails every candidate formula consistently (no d-channel, cubic class sums 0, dark spheres); k = 2 flux doubling scales the flux formula x4 (7680) while c_d is root-theoretic and static; false g0 = d5+a2+u(1) has SIX symmetric cubics (the question cannot be posed); so(10) sanity (Tr X^3 = 0, T5 protection). VERDICT: NUMEROLOGY as a derivation claim -- the v511 [C] fence stays a fence, now typed look-elsewhere-loaded; the honest [E] core is c_d = 32 x 60; the physical generation of the 32 stays [O].

Original classification detail

c_d non-derivation [E]/[O]: the fingerprint c_d = 1920 = |W(D5)| does NOT survive the honest battery -- convention table {1920, 120, 256, 32, 69120} (only 1 of 5 normalisations hits), charge-legal flux products 2048/1800 bracket and miss (the 64*60/2 hit is charge-forbidden), look-elsewhere 11/924 vs control 1800 -> 8/924, quantisation gives only lattices (60 Z, 32nd multiple; ch3 units exclude), and the twisted cubic index 32i clashes in provenance with the true quartic 32 (classes 1/3 vs 0/2) -- NUMEROLOGY as a derivation claim; the convention-stable [E] core is c_d = Phi_T3(A_fix) x 2 h_vee(E8) = 32 x 60; the v511 [C] fence text-sharpened only, the physical generation of the 32 stays [O]; no marker moves

Dependencies as recorded

CELEST.SEAM.01; CELEST.WP5E.GAMMA.01; CELEST.WP5E.EPS2.01; CELEST.WP5E.DELTA2.01; v505; v508; v509; v511