Original ledger status
FLAV.SHEET.03
DISCRIMINANT DICTIONARY DERIVED (P1 closed modulo GATE.QGEO): the generation space carries an INTEGER mu4 - G = T_A*Sigma acts on the cusp basis as G e1=-e1, G e3=e2, G e2=-e3 (the v69 B1+E decomposition realised integrally; G^4=I, char (t+1)(t^2+1)); the cusp-0 eigenvector IS the unique self-conjugate Z4-class-2 line and the swapped cusp pair {1/3,2/3} IS the conjugate class pair {1,3} => the v97 dictionary 'Q_+ grading = A3 discriminant grading' is DERIVED inside the model, not assumed. T_A G T_A^-1 = G^-1 (= discriminant conjugation k->-k); q_A3(1)=q_A3(3)=3/8 (equal on the swapped pair), q_A3(2)=1/2 (fixed); the A3-side negation swaps the two Lagrangian glues (v92 re-derived). The two D4 reflection classes separate the physics: T_A e1=+e1, det=-1 (glue-SWAPPING, v92 single conjugation) vs Sigma e1=-e1, det=+1 (glue-FIXING, simultaneous); Sigma=T_A G. CONSEQUENCE: P1 carries NO separate [P] residual any more - what remains is exactly the already-open GATE.QGEO realisation step (one gate, not two); conditional on that established typing the sector->sheet selection is CLOSED (up/down = deck-odd pair, leptons on the ramification, deck involution = A3-side conjugation T_A)
Recorded status: Identity/Lattice [I]/[L] (dictionary derived) - residual folded into GATE.QGEO
Dependencies, status detail and source
Canonical status: Identity/Lattice: P1 dissolved into the one existing Q-geometry gate
Dependencies: FLAV.SHEET.01; FLAV.SHEET.02; FLAV.QGEO.01; GATE.QGEO.01; GATE.METRIC.07 (v92)
Scripts: v98_discriminant_dictionary.py
Location: tfpt_2
Original CSV, line 176Original 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