Original ledger status
GATE.METRIC.05
Red-team Target A residual (ii) CONDITIONALLY CLOSED [L] -> Target A = ONE residual: bulk-reconstruction uniqueness is NOT independent of residual (i). By the AQFT classification of full 2D CFTs over a chiral net (Longo-Rehren 1995; Kawahigashi-Longo-Mueger 2001; Bischoff-Kawahigashi-Longo-Rehren arXiv:1405.7863) the possible bulks = haploid commutative Q-systems = physical modular invariants of Rep(A); for a HOLOMORPHIC net Rep(A)=Vect so the bulk pairing is UNIQUE. MACHINE-CHECKED CONTRAST: the same-c rival SO(16)_1 (discriminant category Z2xZ2 of D8, q=(0,1/2,1,1), mu-index=4, S/T built explicitly, S^2=I, (ST)^3=I) admits exactly SIX modular invariants (Z>=0 integer, Z_00=1, [Z,S]=[Z,T]=0, entries<=2): diagonal, s<->c swap, BOTH E8-extension invariants |chi_0+chi_{s,c}|^2 (= the lattice glue E8=D8 u (D8+s): h_s=1 bosonic/condensable, index 2, det=4/4=1 even unimodular, cf v1/v83) and two twisted pairings => without holomorphy the c=8 bulk is MULTIPLY ambiguous; with one primary trivially Z=(1) unique. CONSEQUENCE: the whole of Target A reduces to the SINGLE theorem 'seam-Calderon boundary net is holomorphic with c=8' - then (E8)_1 (v83/GATE.METRIC.04) AND the unique bulk (this row) follow; the hypothesis stays [P]/[A]. Honest scope: nothing here proves the seam net IS holomorphic
Recorded status: Lattice [L] (classification + machine contrast) + [P]/[A] (the one remaining hypothesis)
Dependencies, status detail and source
Canonical status: Lattice [L]: bulk uniqueness rides on holomorphy; Target A = ONE residual
Dependencies: GATE.METRIC.04; REDTEAM.A.01; v83; v77
Scripts: v87_bulk_uniqueness_reduction.py
Location: tfpt_5_redteam
Original CSV, line 161Original ledger status
SYNTH.INVENTORY.01
THE RESIDUAL INVENTORY (one constant, one anchor, one clock to find; the COMPLETE machine-pinned gap list): (A) ONE-CONSTANT INVENTORY [I] - 2/3 = |Z2|/N_fam appears exactly in seven independent places across both sectors (flavor: Koide branch point, transfer-gap base (2/3)^6, attractor inside the physical basin; gravity: Nariai entropy bound, SdS branch separation, canonical amplitude+frequency, canonical curvature base (2/3)^N_fam); ANCHOR TRIPTYCH [I]: configuration chi_a = (t-1)^2(t-2), Nariai cubic (t-1)^2(t+2) = traceless anchor, clock quadratic (lam-1)(lam+2); Nariai = (t-1) x clock; a = e2+e3. (B) RELOCATION THEOREM [I]+[P]: the cosmological one-loop clock correction eps = (c/24pi) Lambda/Mbar^2 = 7.6e-122 (c = 8 = the seam central charge, frozen rho_L) is deficient by 121.5 orders against the needed O(1) gap, and the deficit IS the Lambda hierarchy 2 alpha^-1/ln10 = 119.0 (+2.5 prefactors, the v60 split) => the seam clock must live at the SEAM scale, where the only gapped generator is the established boundary transfer operator; the bridge reaches its final form: ONE [P] identification 'transfer operator = seam Nariai clock'. (C) RESIDUAL TABLE (typing contract): exactly FIVE structural objects remain - R1 seam quantum clock [P] (HOR.CLOCK.01), R2 seam net holomorphic + c=8 [P]/[A] (GATE.METRIC.05/06/07), R3 seam determinant => EH form [A] (SEAM.AREACOEFF.03 residual), R4 H2 dictionary [A]/[P] (GATE.RU.01/CONTRACT.U.01), R5 parabolic realisation of Q carrying P1 [P] (GATE.QGEO.01/FLAV.SHEET.03) - plus the two irreducibles (one scale v_geo by dimensional analysis v78; the primitive pi) and the frozen data surfaces (gamma_CP, n_s/A_s, theta13, m_tau, r). COMPLETENESS is itself the claim: a sixth structural gap would FAIL v105. Nothing closed here; everything that remains is named, typed and counted
Recorded status: Identity [I] (inventory + relocation arithmetic) + typing contract (gap completeness)
Dependencies, status detail and source
Canonical status: Residual inventory: 5 named structural objects + 1 scale + pi; completeness machine-pinned
Dependencies: HOR.CLOCK.01; HOR.TRISECT.01; HOR.NARIAI.01; HOR.ORIENT.01; FR.KOIDE.04/05/06; GATE.METRIC.05-07; GATE.RU.01; GATE.QGEO.01; ANCHOR.VGEO.01; REG.FREEZE.01
Scripts: v105_residual_inventory.py
Location: origin_theory;introduction
Original CSV, line 188