Original ledger status
GNET.RAMIFIED.01
PHYS moonshot slice (T2 / G_net) -- is the Ramond projection (1+i)-adic? (one module, 9 checks, ~1 s; discovery probe phys_ramified_ns_r_probe.py 9/9, verdict RAMIFIED-SEES-NSR). THE THEOREM CHECK: on the explicit even-coordinate E8 with the integral complex structure J (pair rotation, J^2 = -I, orthogonal, lattice-stable -- a concrete witness of the v634/v689 Gaussian E8), (1+i)L is CONTAINED in the even/NS sublattice (verified on a Z-basis), so the SO(16) coordinate-parity functional (E8 roots = 112 integer/NS + 128 spinor/R, the GATE.METRIC.10 census) FACTORS through the quotient E8(Z[i])/(1+i) = F2^4 (v689). PURITY: the 240 roots fall into exactly 15 classes x 16 (re-derived in this frame), every class purely NS or purely R (7 NS + 8 R), all classes mu4-stable, and parity is a HOMOMORPHISM F2^4 -> F2: the NS/R grading IS the parity character of the ramified quotient -- the Ramond projection is (1+i)-adic, the first exact witness for the groupoid reading of G_net (the ONE ramified edge of the Z[i]-E8 Hecke tower is the Gaussian prime (1+i)). CONTROLS FIRE: the trivialization Z[i]^4 = Z^8 does NOT show the 15x16 pattern (4 classes); scrambled NS/R labels BREAK purity. THE CONTRACT (stated with v726): the seam-Calderon inclusion A = B^{mu4} in B (index 4, the GATE.METRIC.08 Q-system) is the ramified-place structure of the groupoid -- kills: Frobenius mismatch Q-system vs (1+i)-correspondence convolution; index != 4 on the state-preserving ladder; dressing incompatible with the sigma descent. Exact integer arithmetic, no fit, no external tables. No marker move (GATE.METRIC.10 stays as typed).
Recorded status: Exact [E] integer-arithmetic slice ((1+i)L in the even sublattice on a Z-basis; 15x16 purity census; parity homomorphism) with both controls firing; contract half typed OPEN (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: RAMIFIED-SEES-NSR: the NS/R grading IS the parity character of E8(Z[i])/(1+i) = F2^4 (exact, controls fire); the Ramond projection is (1+i)-adic -- first exact witness for the groupoid reading of G_net; the Q-system identification stays the OPEN contract half (kills registered); no status move.
Dependencies: GATE.METRIC.10; GATE.METRIC.08; E8.GAUSSCODE.01; PRIME.MOONSHOT.01
Scripts: v722_phys_ramified_ns_r.py
Location: tfpt_3;tfpt_1;tfpt_research_contracts
Original CSV, line 667Original ledger status
FTRANSFER.STT.01
PHYS moonshot slice (T3 / F_transfer) -- can thermal time replace the external clock contract? The conjugacy-class KILL test (one module, 11 checks, ~1 s; discovery probe phys_modular_clock_probe.py 11/11, verdict STT-KILLED + INTERNAL-PAIR-CONFIRMED). STRONG THERMAL TIME (Connes-style: ONE modular flow sigma_t and four CONSTANT clock conversions t_k = c_k t) requires all four native time-1 maps in modular-exponential conjugacy classes -- a modular generator is (an image of) a self-adjoint operator, hence DIAGONALIZABLE, never parabolic. THE KILL: the F_QCD 1-loop clock map u -> u + 2 b0 (u = 1/g^2) is PARABOLIC and NOT diagonalizable (single Jordan block), and the symbolic 2x2 lemma 'exp of a real-diagonalizable matrix is diagonalizable' closes the door: no constant-rescaled modular flow produces the QCD clock -- STT is dead on the declared clock exports. THE CONFIRMATION: the F_pole/Koide multiplier at the attractor is EXACTLY (2/3)^6 = 64/729 (hyperbolic, dimensionless => internal; F_Boltzmann the same element by the v425 single-flow theorem, cited); F_relic is the identity (content = theta_i, internalization vacuous). THE TYPED CONSEQUENCE: the external clock contract is CONFIRMED and sharpened to the anchor census {one unit = Lambda_QCD (v_geo-class by No-Unit v153), one angle theta_i, one lattice O(1) C_p} -- T3's clock wall and T1's unit wall are THE SAME WALL, counted once. P5 syntax observation (seam rates {6 ln(3/2), 6 ln 3} in Z<log 2, log 3>, the two shortest groupoid orbit lengths; exact integer coefficients) typed as suggestive syntax, NOT evidence. sympy-exact, flows recomputed from the native ODEs (not read off v632). No marker move.
Recorded status: Exact [E] symbolic kill (parabolic + no-diagonalizable-log lemma) + [E] internal-pair confirmation ((2/3)^6 exact); the external clock contract confirmed and sharpened (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: STT-KILLED + INTERNAL-PAIR-CONFIRMED: strong thermal time is dead on the declared clock exports (QCD clock parabolic, not reachable by any modular flow); the pole/Boltzmann pair is internal ((2/3)^6 exact, v425); the external clock contract STANDS, sharpened to the typed census {one unit, theta_i, C_p}; no status move.
Dependencies: FR.POLE.SOLVE.01; FIRSTPRINCIPLES.BOUNDARY.01; ANCHOR.VGEO.02; v425; v153; v632
Scripts: v723_phys_modular_clock.py
Location: tfpt_3;tfpt_2;tfpt_research_contracts
Original CSV, line 668Original ledger status
FTRANSFER.COCYCLE.01
T3-B -- conditioned modular flows from ONE internal mother state, the second thermal-time KILL (one module, 12 mechanical checks, ~1 s; discovery probe phys_t3b_conditioned_modular_flows.py 12/12, verdict T3B-DEAD). THE CONSTRUCTION (frozen before any target test): the sheet geodesic M(1,t), t = -2..1, delivers the four intertwiners J, K, C, F and the target-independent tangent S = dM/dt; S builds the chiral mother operator D_Sigma = [[0, S], [S^T, 0]] and -- with the ONE global KMS scale Delta = 6 log(3/2) -- the mother covariance C_Sigma; each intertwiner canonically yields its graph projector / CP compression channel Phi_X (NO solver data, NO fit parameters anywhere); conditioned covariances C_X = Phi_X(C_Sigma) and modular generators K_X = log((1-C_X)/C_X) follow per v258; the N-ladder uses the target-independent CAR sine regularization f_N with verified N^-2 convergence. THE KILL: the four conditioned flows come out LOXODROMIC/COMPLEX on the P1 shadow -- the frozen v578/v632 solver classes (hyperbolic / parabolic / degenerate) do NOT arise; the hard class gate honestly FAILS (0/4 matches) and the probe correctly REFUSES the NEEDS-LINDBLAD escape (the v238 GKSL variant is also all-loxodromic; a Lindblad verdict is only allowed on a full class match). POSITIVES that survive: the Connes cocycle composition along J-K-C-F is EXACT (max triple residual 1.6e-15) and exactly ONE global KMS scale fits all four interfaces (Delta = 2.4328 each). With v723 (FTRANSFER.STT.01) this closes BOTH thermal-time routes: the external clock contract of F_transfer stands. Kill audit printed (projectors target-free, one scalar/one time, QCD-without-hand-setting FAIL as the kill, no external mother-state parameters, N-ladder). No marker move.
Recorded status: [E] exact cocycle composition + [X] honest class-gate kill (0/4 matches, Lindblad escape refused); the second thermal-time route closed (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: T3B-DEAD: the four solver classes do NOT arise from conditioned modular flows of one internal mother state (all four loxodromic/complex; cocycle composition exact; one KMS scale); with FTRANSFER.STT.01 both thermal-time routes are closed -- the external clock contract stands; no status move.
Dependencies: FTRANSFER.STT.01; FIRSTPRINCIPLES.BOUNDARY.01; v258; v578; v632
Scripts: v724_phys_t3b_modular_flows.py
Location: tfpt_3;tfpt_2;tfpt_research_contracts
Original CSV, line 669Original ledger status
VGEO.TORSOR.01
T1 CLOSURE -- the calibration/scale-torsor audit of the v_geo interface (one module, 21 checks, ~1 s; discovery probe phys_vgeo_torsor_audit_probe.py 21/21, verdict TORSOR-SCHLIESSUNG PASS). THE STRUCTURE THEOREM (machine-audited on the corpus, sources read-only: v153/v152/v274/v401/v364/v75/v68/v60/v20/v272/v3/rt_E/v714): the v_geo interface is a well-defined R+ SCALE TORSOR -- (1) the corpus exports ALL dimensional quantities as O_i = r_i * v_geo^{d_i} with machine-derived dimensionless r_i (complete export table: Mbar, 1/G, Lambda, U_point, m/mu at d = 1, 2, 4, 1, 0); (2) the dimension matrix has RANK 1 -- exactly ONE independent scale (conditional [A] on the flavor block via the declared seam=Planck identification v68 + the rt_E EW-matching flag, NAMED not hidden); (3) ALL consistency conditions are homogeneous under L -> lambda L -- no internal absolute anchor (the machine form of the No-Unit theorem v153); (4) leave-one-anchor-out cross-calibrations compatible (gravitation G vs cosmology rho_Lambda: the same Mbar to 0.11%, v274, conditional on the Lambda branch [C]; flavor fiber exact); (5) the CALIBRATION THEOREM stated in torsor language: one external reference selects the point in the torsor, everything else is prediction. FENCE: a STRUCTURE closure of the interface -- NO absolute-scale derivation (impossible per No-Unit; that is the theorem, not the defect). THE MOONSHOT NAMED (not executed): H_EW = ln(Mbar/v_EW) = 37.1776 -- the ONE remaining dimensionless scale ratio whose derivation No-Unit permits (a success would turn the flavor-block [A] identification into a derivation); naive c3/phi0 ladders honestly excluded (11.53 / 12.67, not integer; v184 firewall respected). Status moves only as evidenced: the interface contract closes in CALIBRATION FORM; the No-Unit typing of v_geo is unchanged.
Recorded status: Structural [E] torsor audit (export table, rank 1, lambda-homogeneity, leave-one-anchor-out 0.11%) with conditionalities named; closure in calibration form, NO scale derivation (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: TORSOR CLOSURE PASS: the v_geo interface is structurally closed as an R+ scale torsor (export table complete, dimension matrix rank 1, all conditions lambda-homogeneous, two-anchor consistency 0.11%); calibration theorem stated; FENCE: no scale derivation (No-Unit); moonshot named: H_EW = 37.1776.
Dependencies: ANCHOR.VGEO.01; ANCHOR.VGEO.02; VGEO.SHARPEN.01; SCALE.OVERDET.01; METROLOGY.CLOSURE.01; FIRSTPRINCIPLES.BOUNDARY.01
Scripts: v725_phys_vgeo_torsor_audit.py
Location: tfpt_3;tfpt_2;tfpt_research_contracts
Original CSV, line 670Original ledger status
GNET.PPINDEX.01
PHYS T2 main slice -- Pimsner-Popa / Watatani index 4 on the CAR ladder, with the mu4 action DERIVED from the clock and the Ramond zero-mode test (one module, 57 checks, ~7 s; discovery probe phys_car_pp_index_probe.py 57/57, verdict T2-SLICE-GO (PP-INDEX-4-ON-LADDER)). THE DERIVATION (circularity rule): mu4 is NOT inserted -- the clock L = S^{N/12} of the v679/v716 frame gives the half-turn H = L^6 whose order 4 is FORCED by the NS spin structure (H^2 = S^N = -1, H^4 = 1); the deck Dk = L^4 commutes and is unused in E. THE INDEX: on windows W_k of the N = 48/96/192/384 ladder the mu4-average conditional expectation E = (1/4) sum_j U^j . U^-j (U = Gamma(H_W), vacuum-fixing phase, no convention freedom) has optimal Pimsner-Popa constant EXACTLY 1/4 (explicit rank-one minimizer + pinching theorem; HONEST SPEC CORRECTION documented: charge-homogeneous elements give lambda = 1 identically -- the bound lives on maximally sector-mixing elements) and Watatani index EXACTLY 4 via an explicit quasi-basis (sum v v* == 4 * 1; weights FORCED by the reconstruction identity -- uniform weights BREAK scalarness (kill K4), the Z2-only average gives lambda = 1/2, index 2: mu4 distinguished from mu2). THE RAMOND HEALING: undressed, H_R = S^{N/2} has order 2 and the census DEGENERATES (m = 2, lambda = 1/2, index 2 -- measured); the v679 Klein zero-mode dressing U' = Gamma(H_R) e^{i pi/2 n_0} restores order 4 and index 4 STATE-PRESERVINGLY ([rho, U'] = 0 exactly; the zero mode maximally mixed, c_0 = 1/2) -- kill K2 does not fire. THE (1+i) DICTIONARY (with v722): NS momenta half-integer <-> every window mode carries H-eigenvalue +-i (chi = 1); R momenta integer <-> chi = 0 with the dressed zero mode the unique chi = 1 carrier; the sector-dim anomaly N_0 - N_2 = 2^k sits ONLY in ker(chi) -- the ramified defect lives in ker(chi) on BOTH sides. Outerness witnesses w_q -> 1/4 and |omega(U^j)| -> 0 typed as witnesses, not proof (kill K3 stays a witness question). GNET.RAMIFIED.01 contract candidate printed with kills. No marker move (GATE.METRIC.08/10 stay as typed). [2026-08-03 LIII, Lean round 5: the exact algebraic index-4 core is now FORMALLY VERIFIED in Lean 4 (WatataniIndexFour.lean, lake build green, kernel-checked, no sorry): the clock-order shadow (S^12 = -1 => H^4 = 1, mu4 order forced by the NS spin structure), the explicit 13-element quasi-basis with sum v v* = 4*1 EXACTLY = N(1+i)^2, the sharp Pimsner-Popa constant lambda* = 1/4 via an SOS certificate at the mixing minimizer, and the mu2/three-sector controls (index 2/3). Honest scope: the smallest faithful matrix model M4(Z[i]) -- the CAR/Fock layer, Gaussian states, the k-window sector dimensions, the Ramond dressing and the ladder witnesses stay numeric (v726).] [2026-08-05 LXII (v779): the l = 1 three-sector index-3 anomaly is now EXPLAINED by the exact dim law d_c(l) = 4^(l-1) + 2^(l-1) cos(pi c/2) (d_2(1) = 0); the C[Z4] 4-element quasi-basis is obstructed at every finite l with relative gap exactly 2^-l (asymptotically restored); the index-4 structure transports literally along the Haar tower with uniform sector-resolved split bounds -- the measured finite precursor of index continuity in the GNS limit.]
Recorded status: Exact [E] index results (PP = 1/4 optimal, Watatani = 4 with forced quasi-basis weights; mu4 derived, not inserted) + [E] state-preserving Ramond healing + [M] outerness witnesses (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: T2-SLICE-GO (PP-INDEX-4-ON-LADDER): optimal Pimsner-Popa constant exactly 1/4 and Watatani index exactly 4 on the CAR ladder with mu4 DERIVED from the clock; Ramond healed state-preservingly by the Klein dressing; (1+i) dictionary closes with v722; Q-system identification = the open contract half; no status move.
Dependencies: GATE.METRIC.08; GATE.METRIC.10; GNET.RAMIFIED.01; v679
Scripts: v726_phys_car_pp_index.py
Location: tfpt_3;tfpt_1;tfpt_research_contracts
Original CSV, line 671Original ledger status
E8.ORBITPACKET.01
The Gaussian ORBIT PACKET lemma (one module, 26 checks, ~1 s; discovery probe orbit_packet_probe.py 26/26, verdict ORBIT-PACKET-EXACT). BURNSIDE EXACT: the sigma orbit census on the 15 nonzero Gaussian classes gives N_orbit = (15 + 3 + 3)/3 = 7 (3 fixed classes + 4 moved orbits). THE CANONICAL PACKET SPLIT: 240 = 5 x 48 -- one fixed block + 4 moved blocks of 12 Gaussian lines (48 roots) each, pairwise disjoint, label-free canonical (the 15-class partition agrees with the intrinsic equivalence x ~ y <=> (1-J)(x-y)/2 in L; the only residual freedom is the ordering of the 4 moved blocks); packets = 1 fixed + 4 moved = 5 = g_car and 240 = g_car x 48. ANCHOR: the fixed-syndrome leader weights (0,1,1,2) reproduce the (1,1,2) anchor, leader pair e6/e7 = the v638 anchor pair. Q NORMAL FORM: 240 = 16 x 15 and 248 = 240 + 8. CIRCULARITY FENCE: P1 (c3 = 1/(8 pi)) and P2 (g_car = 5) come back as EXACT-INTERNAL-RECONSTRUCTION -- the packet law reconstructs the axioms from the code, it does NOT derive them. SIGMA-CLASS SPECIFICITY: the 160 free order-3 elements of G31 give Burnside 5, not 7 -- the 1 + 4 packet law is sigma-class-specific, not generic. Companion Lean module TfptCarrier/OrbitPacket.lean (34 theorems, kernel decide/norm_num only, no sorry, no native_decide). No marker move.
Recorded status: Exact [E] integer/finite-group census; P1/P2 typed as reconstruction behind the circularity fence, NOT derivation (Python-only per GATE.WOLFRAM.02; companion Lean module kernel-checked).
Dependencies, status detail and source
Canonical status: ORBIT-PACKET-EXACT: Burnside 7, the canonical 5 x 48 packet split (1 fixed + 4 moved = g_car), the (1,1,2) anchor from the leader weights, the q = 16 normal form; P1/P2 come back as exact internal reconstruction (circularity fence: reconstruction, not derivation); sigma-class-specific (free order-3 census gives Burnside 5); Lean companion OrbitPacket.lean.
Dependencies: E8.GAUSSCODE.01; E8.GAUSSIAN.CODE.01; v638; v623
Scripts: v736_orbit_packet.py
Location: tfpt_1;tfpt_2;tfpt_3
Original CSV, line 672Original ledger status
E8.SEAM48.01
The seam-48 intertwiner test -- the sharpest structural kill of the review morning (one module, 24 machinery checks, ~4 s; discovery probe seam48_intertwiner_probe.py 24/24 machinery, verdict SEAM48-DEAD). THE QUESTION (external review, preregistered kill): do the five canonical 48-blocks (from the proven sigma orbit structure of the 15 x 16 Gaussian classes) and the 48 regular five-cycles of the CERTIFIED regular order-5 operator form an intertwiner -- i.e. is the 48 x 5 incidence matrix identically 1? THE KILL FIRES: the incidence entry distribution is 0:96 / 1:64 / 2:64 / 3:16 instead of == 1 -- representative-independent (0 of 2304 order-5 elements of G31 have the incidence-1 property against the fixed blocks) and the must-fail control fires (0 of 25 random regular operators pass; the test measures something). VALUABLE RESIDUES: the 4 moved blocks carry the v623 character table EXACTLY, the fixed block deviates exactly by the 12 lifted marks; the 5-period lemma u^5 = +/-J holds exactly. THE HONEST READING: 240 = 48 x 5 remains a factorization WITHOUT coordinatization -- no canonical bijection between the five 48-blocks and the five-cycles. No marker move. [2026-08-04 LIX, the v737 resolution -- v752 (PROJ-HAMMING-EXACT): the incidence distribution 0:96/1:64/2:64/3:16 is DERIVED exactly (48 x 5 = 16 x the 3 x 5 label table; five-cycles see ubar-orbits, not sigma packets), AND the 5 x 48 coordinatization EXISTS via exactly ONE ubar-invariant spread of the 56 (incidence identically 1 on the root level, zero triple overlap with the sigma packets, not sigma-stable) -- the kill is EXPLAINED, not revised: the sigma packets remain a non-spread.]
Recorded status: Exact [E] machinery; the preregistered kill fires -- honest structural negative (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: SEAM48-DEAD: the 48 x 5 incidence matrix is not identically 1 (0:96/1:64/2:64/3:16), representative-independent, must-fail control fires; residues: the 4 moved blocks carry the v623 character table exactly, the fixed block deviates by the 12 lifted marks, u^5 = +/-J exact; 240 = 48 x 5 stays a factorization without coordinatization.
Dependencies: E8.GAUSSCODE.01; E8.ORBITPACKET.01; v623; v736
Scripts: v737_seam48_intertwiner.py
Location: tfpt_1;tfpt_3
Original CSV, line 673Original ledger status
QGEO.CARL1.01
The (L1) sector lemma of the CAR continuum majorant, proven modulo elementary steps with explicit constants (one module, 11 checks, ~1 s; discovery probe qgeo_car_l1_sector_lemma_probe.py 11/11, verdict L1-SECTOR-PROVEN-MODULO-ELEMENTARY). THE LEMMA: || K_2N^(q) - K_N^(q) ||_{S1(Lambda_eps)} <= B_q(eps)/N for all 6 undressed sectors on the fixed grid -- the occupied-arc mode sums are EXACT geometric sums (no Riemann-sum error; exact summation replaces Euler-Maclaurin), the entire 1/N structure is the sublattice embedding offset, the leading term is the exact matrix (iu/2MN) f_q'(s) (ratio -> 1 at 6e-4), gamma = 2 is DERIVED and consistent with the measured collision exponents, the Taylor-Lagrange envelope covers every entry and every trace norm with 39744 + 108 inequalities at 0 violations, and r1 = 1 is sharp. STATUS TYPED: (L1, undressed sectors, fixed grid) = PROVEN-MODULO-ELEMENTARY with explicit constants; the named residues -- (a) grid-sup [elementary], (b) L2 uniform FH/RH [hard-technical], (c) L3 uniformity [medium] -- are named, not claimed. GATE.QGEO does not move. No marker move. [2026-08-05 LXII (v778): residue (a) is FULLY CLOSED in the corrected (1 + ln M) form -- (a1) the continuum entrywise supremum, (a2) the configuration-S1 closure with explicit B_conf(eps) (packing + zeta(2)/zeta(3)), and (a3) the refinement remainder with RHO(eps) via exact csc^3 integrals are closed elementarily with zero census violations; (a4) the leading part is honestly LOG-divergent under refinement (jump-driven, C^1-taper-controlled), so the literal v715 clause 'one B(eps) for ALL grid refinements' is FALSE at r1 = 1 with a fixed B(eps) and is REPAIRED to ||D_N^(M)||_1 <= [B0(q,eps) + (J(eps)/2) ln(M+3)]/N, certified at theorem level by the grid Fourier log-sum inequality ||F_q^(M)(eps)||_1 <= c0(q,eps) + (J(eps)/4) ln(M+3), J = 2|f_q'(eps)| (exact nu-twisted-circulant diagonalisation + two exact cyclic summation-by-parts + harmonic comparison; 162-case census to M = 6144, zero violations in all seven clauses; repaired clause verified on all 252 transfer cases; Araki/Powers-Stormer summability survives with explicit closed forms). Honest: the measured slope is J/pi^2 (spike interference) -- the certified J/4 and named J/pi are valid upper bounds, NOT sharp. Residues (b) and (c) stay OPEN; GATE.QGEO does not move.]
Recorded status: Proof-near [E] sector lemma (exact geometric sums, derived gamma = 2, 39744+108 inequalities at 0 violations) with the named residues typed (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: L1-SECTOR-PROVEN-MODULO-ELEMENTARY: (L1) proven modulo elementary steps for all 6 sectors -- exact summation instead of EM, leading term at 6e-4, gamma = 2 derived, 39744+108 inequalities 0 violations, r1 = 1 sharp; residues (a) elementary / (b) hard-technical / (c) medium named, not claimed; GATE.QGEO does not move; 2026-08-05 (v778): residue (a) fully closed in the corrected (1 + ln M) form (the literal v715 all-refinements clause repaired; log coefficient certified, measured slope J/pi^2); (b)/(c) stay open.
Dependencies: QGEO.CARLIMIT.01; GATE.QGEO.01; v715
Scripts: v745_qgeo_car_l1_sector_lemma.py
Location: tfpt_3;tfpt_research_contracts
Original CSV, line 674Original ledger status
GNET.LOCALNET.01
The G_net local net functor -- net axioms exact, Watatani index locally exactly 4, Ramond as half-line/bond defect (one module, 16 checks, ~2 s; discovery probe phys_gnet_local_functor_probe.py 16/16, verdict GNET-LOCAL-FUNCTOR-ALIVE). THE NET AXIOMS ARE EXACT: isotony, graded locality and clock covariance hold exactly for the interval assignment on the quotient circle. THE INDEX IS LOCAL: the Watatani index of the local fixed-point inclusion is EXACTLY 4 for every interval ell >= 2 -- the [D, A] index statement is interval-local, not merely global. RAMOND IS SOLITONIC: the R sector is a half-line/bond defect with local footprint sqrt(2/N) leakage -- exactly the DHR/solitonic structure the seam-Calderon identification needs. 4 MUST-FAIL CONTROLS FIRE. MISSING CONTINUUM THEOREMS NAMED, NOT CLAIMED: GNS limit net (tightness; the v679 formal residual), index continuity along the inductive limit (Pimsner-Popa/Longo heredity), identification with the Longo Q-system extension of GATE.METRIC.11, solitonic sector construction (twisted DHR/Longo-Roberts), Haag duality/split for the quotient-circle net. No marker move. [2026-08-05 LXII (v779): the finite-level precursors of theorems (1)/(2)/(3)/(5) are MEASURED COHERENT (GNS-PRECURSORS-COHERENT, 27/27) -- the Haar scaling isometry tower intertwines exactly (<= 2.2e-16, window data literally level-independent), the index-4 expectation squares commute exactly (the finite half of the Q-system identification), the canonical chiral-sea state is Cauchy with geometric contraction ~1/4 per doubling, the index census is machine-exact at every level with zero degradation, the split witness stabilizes and decreases with separation, and the finite Haag-duality census gives twisted-duality defect 0 with dim B'/dim A' = 4 (l = 1: 3); a 10-section continuum-paper skeleton is on record; theorem (4)'s finite witness stays the v746 bond-defect identity. The exact dim law d_c(l) = 4^(l-1) + 2^(l-1) cos(pi c/2) types the C[Z4] obstruction at exactly 2^-l and EXPLAINS the l = 1 three-sector anomaly. Every measurement stays typed finite evidence, never a continuum proof.]
Recorded status: Exact [E] finite net axioms + exact local index 4 + [C] the named continuum theorems (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: GNET-LOCAL-FUNCTOR-ALIVE: net axioms exact (isotony/graded locality/clock covariance), Watatani index LOCALLY exactly 4 for every interval ell >= 2, Ramond = half-line/bond defect (solitonic; leakage sqrt(2/N)); 4 must-fails fire; the five continuum theorems named, not claimed.
Dependencies: QGEO.BONDDEF.01; GATE.METRIC.11; QGEO.DECKSECTOR.01; v722
Scripts: v746_phys_gnet_local_functor.py
Location: tfpt_3;tfpt_2
Original CSV, line 675Original ledger status
FTRANSFER.CLOCKS.01
Preregistered theory-contract search target (frozen 2026-08-04, experiments/ftransfer-clocks/hypotheses/ftransfer_clocks_v1.yaml; EXECUTED 2026-08-05, v777): the external-clock contract for the F_transfer jets. THE FOUR FROZEN CLOCKS (exactly one physical clock per solver, fixed in advance): F_pole = proper time tau (on-shell/pole-mass chart; one v99 seam unit = one proper-phase e-fold), F_Boltzmann = inverse temperature beta (FIRAS-anchored adiabatic chart; one washout seam unit = one beta e-fold; the z-linear alternative recorded as excluded), F_QCD = RG time t = ln(mu/M_Z) (MS-bar, 1-loop b0 = 7 window [m_t, 1 TeV]; identity gauge), F_relic = cosmological e-folds ln a (Planck 2018 background; flow frozen, jets degenerate -- scored only on kills and dictionary validity). THE PREREGISTERED PREDICTION (FTC.P1): under the frozen affine dictionaries (slopes -1, -1, +1, -1) ONE constant-coefficient Riccati equation on sigma = ln(mu/M_Z) carries all non-degenerate transported jets -- equivalently the transported Schwarzians of F_pole/F_Boltzmann/F_QCD are EQUAL (the seam channels transport to -Delta^2/2 = -2.959235170076978 exactly; the prediction forces the QCD value onto it). THREE KILLS: K1 NO-COMMON-CONNECTION (symbolic inequality of transported Schwarzians; executor must exhibit the forbidden reparametrization per failing pair), K2 FREE-REPARAM-NEEDED (any post-freeze change of gauge/dictionary; byte-frozen YAML sha256 recorded), K3 SECOND-CLOCK-NEEDED (any channel export needing two time variables). HONEST PRIOR (preregistered): EXPECTED = K1 KILL -- affine transport scales a Schwarzian by slope^2 and cannot move 0 (QCD) onto -Delta^2/2 (seam); a K1 kill would finalize the v578 diagnosis at the physical-clock level and close the jet route of CONTRACT.F.01; ONE-CLASS would be the surprise. EXECUTOR: PENDING -- v752_ftransfer_clock_jets.py-pattern module at a future round (sympy-exact kernel; the FTC.01 data interfaces need the frozen g_*s tabulation and PDG alpha_s(Q) overlay data curated first). FIREWALL: no marker move, nothing upgrades CONTRACT.F.01; the four observables stay [C]/[O]; this design is typed [X]. NO RH claim (unrelated surface; discipline note). [2026-08-05 LXII, EXECUTED + PROMOTED (v777_ftransfer_clock_jets.py, one module from two probes, 24 + 14 checks, 0 failures): VERDICT NO-COMMON-CONNECTION -- the K1 kill fires EXACTLY as the frozen prior expected. Freeze guards verified at run time (YAML sha256 880224f7..., g_*s table 8ae2a4fe..., alpha_s table 2ca6332d...; both data tables curated + byte-frozen BEFORE the first executor run). All four dictionary-validity legs PASS (FTC.01.K: q_exp dev 6.6e-6 <= 3 sigma_q, scheme check 571x -- the on-shell chart is right and the running chart fails it; FTC.01.B: washout entropy-chart drift 1.15e-4, N_eff certificate 0.32 sigma; FTC.01.Q: frozen chain reproduced exactly, 1-loop overlay max dev 0.83% on [m_t, 1 TeV]; FTC.01.R: onset T_osc = 76.68 GeV, slope dev 0.0602). The one-class prediction FTC.P1 dies sympy-EXACTLY: transported Schwarzians {-Delta^2/2, -Delta^2/2, 0}, symbolic difference exactly nonzero, no tolerance involved; K1 duty discharged (the pass-enabling reparametrization h = Moebius(e^{+-Delta sigma}) is exhibited and is NON-affine -- exactly the freedom the freeze forbids); K2/K3 quiet. COMPANION (same module): the fibered-groupoid refinement CARRIES (FTRANSFER-FIBERED-CARRIES, 14/14) -- see the CONTRACT.F.01 dated note; the groupoid's first-run float64 spot-check artifact is disclosed in the probe docstring, the frozen 1e-12 bar untouched. The four observables stay [C]/[O]; no marker move.] NOTE (2026-08-06, v792 -- marker UNCHANGED): the coset assignment of the executed contract's clock charts is now a THEOREM from KMS/modular typing (S = -(ln lambda)^2/2 from the time-1 PGL2 holonomy; blind protocol, exact unblinding, controls incl. the Moebius-clock positive case) -- the three-probe chain executor (v777) -> fibered groupoid -> coset theorem is whole; the fiber classification is derived, not case-inspected.
Recorded status: Executed preregistered search target (frozen 2026-08-04 [X]; executed + promoted 2026-08-05, v777): the K1 kill fired exactly as the frozen prior expected (NO-COMMON-CONNECTION); the fibered-groupoid refinement carries; the four observables stay [C]/[O]; no marker move (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: EXECUTED 2026-08-05 (v777): the K1 kill fired sympy-exactly as the frozen prior expected -- NO-COMMON-CONNECTION ({-Delta^2/2, -Delta^2/2, 0}); all four dictionary legs construction-valid (571x / 1.15e-4 / 0.83% / 0.0602); K1 duty discharged (the needed reparametrization is the forbidden non-affine Moebius clock); the fibered-groupoid refinement carries (constant seam cocycle {0, +-Delta^2/2}); nothing upgrades CONTRACT.F.01; no marker move.
Dependencies: CONTRACT.F.01; FTR.JETS.01; FTR.PGL2.01; FTRANSFER.STT.01; FTRANSFER.COCYCLE.01; v578; v632; v723; v724
Scripts: v777_ftransfer_clock_jets.py
Location: tfpt_research_contracts;tfpt_3;tfpt_4
Original CSV, line 676Original ledger status
E8.PROJHAMMING.01
The projective Hamming incidence lemma on V = L/(1+i)L -- the symplectic F2^4 of the unimodular hermitian E8 lattice, and the v737 resolution (one module, 36 checks, ~5 s; discovery probe projective_hamming_incidence_probe.py 36/36, verdict PROJ-HAMMING-EXACT). THE LEMMA FROM THE CONCRETE LATTICE: h = H/4 is Z[i]-valued with hermitian Gram determinant 1 (the UNIMODULAR hermitian E8 lattice over Z[i]); doubly-even => hbar alternating, well-defined on V, NONDEGENERATE: (V, hbar) is symplectic over F2 with explicit Darboux basis. THE CORE IDENTITY: |H_y| = 7 for all 15 points, pair intersections 3 for all 105 pairs; B B^T = 4 I + 3 J EXACT with characteristic polynomial (x-7)(x-2)^9(x+2)^5 -- the eigenvalue multiplicities (1, 9, 5) are the SYMPLECTIC signature (honest P7.2 finding: B B^T = 4I + 3J alone holds for ANY nondegenerate form; the symplectic content is the projective part -- diagonal 1, tr B = 15, multiplicities). THE CHANNEL: K = B/7 with K^2 = (4/49) I + (45/49) Pi0 exactly (K itself honestly NOT psd). NS/R AS GEOMETRY: chi_NSR = hbar(., y0) for the UNIQUE sigma-fixed point y0 = FSUM (the anchor bit); 112 NS + 128 R, +8 Cartan: 248 = 120 + 128 (SO(16)). THE v737 RESOLUTION: the seam-48 distribution 0:96/1:64/2:64/3:16 is DERIVED exactly (48 x 5 = 16 x the 3 x 5 label table), AND the 5 x 48 coordinatization EXISTS via exactly ONE ubar-invariant spread of the 56 -- the v737 kill is EXPLAINED (wrong blocks), not revised. Two honest corrections to the review derivation documented (P6.5d, P7.2). Companion Lean module TfptCarrier/ProjectiveHamming.lean (32 theorems, kernel decide/norm_num only, lake build green). No marker move, NO RH claim.
Recorded status: Exact [E] finite lemma (integer/Fraction arithmetic; Lean companion module; Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: PROJ-HAMMING-EXACT: (V, hbar) is the symplectic F2^4 of the unimodular hermitian E8 lattice; B B^T = 4I + 3J exact, eigenvalues 7^1 (+2)^9 (-2)^5, K^2 = (4/49) I + (45/49) Pi0; NS/R = hbar(., FSUM) = the anchor bit; 248 = 120 + 128; the v737 distribution derived and the 5 x 48 coordinatization exists via exactly one ubar-invariant spread (kill explained, not revised); no RH statement.
Dependencies: E8.GAUSSCODE.01; E8.ORBITPACKET.01; E8.SEAM48.01; v689; v634; v722; v736; v737; v738
Scripts: v752_projective_hamming_incidence.py
Location: tfpt_1;tfpt_2;tfpt_3
Original CSV, line 677Original ledger status
QGEO.FANODISC7.01
The preregistered Fano -> discriminant(-7) bridge -- the three-cycle half is real, the parity half dies arithmetically: the seven-correlation is typed decorative for good (one module, 26 checks, ~1 s, ONE preregistered [FAIL] line C2.d = the COND2 break; discovery probe fano_disc7_bridge_probe.py, verdict FANO-DISC7-DECORATIVE). THE FOUR-CONDITION TEST breaks exactly at condition 2: the NS/R parity bit has NO arithmetic carrier in O_{-7} -- 2 SPLITS in Q(sqrt(-7)) (-7 == 1 mod 8, O tensor Z2 = Z2 x Z2), so every 2-adic ideal quotient has 2-rank <= 2 < 3 (complete census of all norm-8/16 ideals): the code F2-structures are arithmetically UNREALIZABLE; candidates 2a (norm parity does not factor through the ramified fiber) and 2b (chi_7 pullback nonconstant) die too. THE REAL HALF (COND1, exact): equivariant lifts EXIST for both canonical difference-set Fano models (3 each), the canonical order-3 action is x -> 2x (the difference-set multiplier, 2 = the transfer step), and every lift sends the unique sigma-bar fixed point of the NS Fano plane to 0 = red(alpha_0) = the C corner (norm 14 = dim G2) -- forced. Controls fire (x -> 3x zero lifts; broken incidence zero lifts; the ideal 7-set refuses the 3-cycle). No marker move, NO RH claim.
Recorded status: Exact [E] machinery; the preregistered break fires -- honest structural negative, correlation typed decorative (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: FANO-DISC7-DECORATIVE: preregistered four-condition test, break exactly at condition 2 -- 2 splits in Q(sqrt(-7)) => 2-rank <= 2 < 3, the code F2-structures are arithmetically unrealizable; the three-cycle half is real (Fano sigma-bar = x2 multiplier, C corner = fixed point); the seven-correlation is permanently typed decorative; no RH statement.
Dependencies: E8.PROJHAMMING.01; PRIME.HECKEMODRAM.01; QGEO.CAR.01; v533; v571; v632; v722; v738
Scripts: v757_fano_disc7_bridge.py
Location: tfpt_3
Original CSV, line 678Original ledger status
ARF.SPINORCOMPILER.01
The Arf/spinor compiler on V = L/(1+i)L = F2^4 -- Priority 1 of the Arf compiler programme, the exact finite-algebra layer (one module, 46 checks, ~2 s; discovery probe arf_spinor_compiler_probe.py 46/46, verdict ARF-SPINOR-EXACT, zero kills, both must-fail controls fire). THE COMPILER, EXACT END TO END: hbar rebuilt from the concrete v752 lattice (Gram J - I in the family/anchor basis, census 240 = 15 x 16, sigma symplectic; standard-doubled-model cross-check: chi coefficients (0,0,0,1), y0 = FSUM); brute force over all 2^16 functions: EXACTLY 16 quadratic refinements; Arf census 6 + 10 with |Sp(4,2)| = 720 (full 65536-matrix census) and a faithful+surjective S6 action on the six Arf-1 forms; the frozen selector (sigma-invariance census 4 -> q(A) = 1: 2 -> q(F_Sigma) = 0: 1) picks a UNIQUE q*; the parity lift iota: V ~ C_even(5) satisfies beta = hbar in all 256 cells (crosslink 1) and the weight form q_wt IS q* (offset 0; all 16 refinements = q* + hbar(., c) bijectively); Stab(q*) of order 120 acts as S5 with orbits {1, 5, 10} on refinements AND words: 16 = 1 + 5bar + 10 as Arf geometry; the K6 duad model v <-> D(v) is a bijection onto E(K6), Sp/sigma-equivariant, vertex split 15 = 5 + 10 at q*; B = I + A_KG(6,2) ENTRYWISE in all 225 cells, charpoly (x-7)(x-2)^9(x+2)^5, ovoid eigenvector B(1_O - (1/3)1) = -2(1_O - (1/3)1) EXACT (the six ovoid indicators span the (-2)-eigenspace, rank 5); all 6 fully isotropic spreads carry q*-signature (1, 2) per block; the hypercharge table X = (-2,-2,-2,3,3) reproduces the v310/v14 dictionary (values AND multiplicities); code polynomial moments (16, 0, 120, 0) with the chain 120/3 = 40, +1 = 41 = 10 b1, 2*120 = 240, +8 = 248 (the v2 master moment Tr X^2 = 120 = 5!); Pati--Salam 16 = 8 + 8 with the A bit as isospin index and B-L = 1 - 2 n_c/3 exact; chi_NSR = hbar(., F_Sigma) = the anchor bit on all 16 words. SEMANTIC SEPARATION (naming discipline, no physics claim): the SAME sigma acts as the family 3-cycle A3^Fam on the message bits AND as the 3+2 slot split A3^PS on the carrier legs -- two registers, never to be conflated. HONESTY FENCE (binding): the PHYSICAL code->matter reading is NOT claimed -- it is KILLED at root level by v775 (ROOTCLASS-MIXED), incl. the 'empty mailbox = right-handed neutrino' reading. Companion Lean module TfptCarrier/ArfSpinorCompiler.lean (23 kernel theorems, decide/norm_num only, no sorry, no native_decide, lake build green). No marker move, NO RH claim. NOTE (2026-08-05, v782/v784 -- marker UNCHANGED): the certified spread + q* selector become load-bearing in the transition-bus spread layer 240 = 5 x 3 x 16 (v782), and the q* parity acquires a sharp NEGATIVE boundary: the seam curve's canonical deck-invariant theta refinement is EVEN (Arf 0, decomposition 1+6+9) while q* is ODD (Arf 1, 1+5+10) -- the curve/code 2-torsion transport dies at exactly this layer alongside the syntheme-vs-duad sigma layer (v784, joint census 0 with positive control 6).
Recorded status: Exact [E] finite algebra (integer/Fraction/F2 arithmetic; Lean companion ArfSpinorCompiler.lean, 23 kernel theorems; Python-only per GATE.WOLFRAM.02); the physical code->matter reading FENCED (killed by v775/ARF.ROOTCLASS.01).
Dependencies, status detail and source
Canonical status: ARF-SPINOR-EXACT: unique sigma-selected Arf refinement q* (census 4 -> 2 -> 1; q_wt IS q*), parity lift iota ~ C_even(5) with beta = hbar exact, 16 = 1 + 5bar + 10 as Stab(q*) ~ S5 Arf geometry, K6 duad bijection, B = I + A_KG(6,2) with exact ovoid eigenvectors, spreads (1,2), hypercharge table -> v310/v14 dictionary, moments (16,0,120,0) with chain 40/41/240/248, Pati--Salam 8+8 with B-L exact, chi_NSR = anchor bit; A3^Fam != A3^PS discipline; matter reading fenced (v775); Lean companion 23 theorems; no RH statement.
Dependencies: E8.PROJHAMMING.01; PRIME.HECKEPOLARITY.01; CAR.SM.01; AX.P2.01; v752; v753; v2; v310; v14
Scripts: v774_arf_spinor_compiler.py
Location: tfpt_1;tfpt_2;tfpt_3
Original CSV, line 679Original ledger status
ARF.ROOTCLASS.01
THE FIRED PHYSICAL KILL of the Arf compiler programme -- gaussian_class_d5_weight_purity, Priority 2, preregistered (one module, 18 checks, ~2 s; discovery probe gaussian_class_d5_purity_probe.py 18/18, verdict ROOTCLASS-MIXED, all 3 must-fail controls fire; FROZEN_SPEC SHA-256 58d9be9b935d92bbc3ddb838092d0cb7f8c1e5dad09e06ec28e850116ee3ef25, hashed BEFORE any root data). THE QUESTION: does each nonzero Gaussian class of V = L/(1+i)L carry exactly ONE SU(5) weight state of the D5 half-spinor 16, per the frozen F2-linear prediction table (F_i -> {c_i, w1}, A -> {w1, w2}, X = (-2,-2,-2,3,3))? THE ANSWER IS NO, FOR EVERY DEFENSIBLE CONVENTION: the embedding-INDEPENDENT counting bound kills the strict gate for EVERY D5(+)A3 c E8 (coordinate or not) -- every embedding has exactly 128 spinor-side roots, 15 x 16 = 240 > 128, so at most 8 of 15 classes can be all-spinor and >= 7 classes ALWAYS contain adjoint-side roots; the exhaustive scan (56 coordinate splits x 240 slot assignments x 2 chiralities) finds ZERO conventions with even one pure set of 15; under the canonical sigma-stable split all 8 spinor classes mix 8 distinct 16-weight pairs each; best-case match of the frozen dictionary over ALL assignments: 8/128 spinor roots; X-only weakened purity (secondary, not the gate): 0/15. CONTROLS: wrong charge vectors break the frozen X column and the root identity (C1); the LCG-scrambled class map destroys NS/R purity and +-pair symmetry (C2); of the 28 nondegenerate alternating forms every wrong form breaks the canonical pairing package (C3). CONSEQUENCE (binding fence): the code->matter reading must NOT enter any main claim -- including the 'empty mailbox = right-handed neutrino' reading; the Arf structure of v774 keeps its mathematics (census, symplectic form, polarity, NS/R point untouched). No marker move, NO RH claim. NOTE (2026-08-05, v781/v782/v783/v784/v786/v787/v790 -- marker UNCHANGED): the fence HELD through the strategic and prime-channel promotion round -- all new census/identification modules cite ROOTCLASS-MIXED as binding and none makes a code -> matter assignment; the fired kill stays the boundary of every main claim.
Recorded status: Exact [E] finite census kill -- the fired preregistered physical kill; the fence is binding on all main claims (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: ROOTCLASS-MIXED: no D5(+)A3/SU(5) convention makes even one full set of 15 classes pure -- counting bound (128 spinor roots, >= 7 adjoint-side classes for EVERY embedding), 0/56 splits pass, all 8 spinor classes mix 8 weight pairs; the code->matter table must not enter any main claim (fence incl. the right-handed-neutrino mailbox reading); no RH statement.
Dependencies: ARF.SPINORCOMPILER.01; E8.PROJHAMMING.01; PRIME.HECKEPOLARITY.01; v752; v1; v47; v310
Scripts: v775_gaussian_class_d5_purity.py
Location: tfpt_1;tfpt_2;tfpt_3
Original CSV, line 680Original ledger status
ARF.BOUNDARY.CODE.01
Boundary code uniqueness -- the non-circular selection chain boundary -> code -> E8 -> F2^4 -> 5 slots EXISTS with g_car = 5 as OUTPUT, and the residual premise is named (one module, 31 checks, ~2 s; discovery probe boundary_hamming_uniqueness_probe.py 31/31, verdict BOUNDARY-CODE-UNIQUE; frozen design SHA-256 c1893641...). THE CHAIN, REBUILT WITHOUT HAMMING/E8 INPUT: direct enumeration gives 135 self-dual binary codes of length 8 (mass formula), 30 doubly even; J-compatibility leaves 14; sigma-equivariance (deck 3-cycle pair-coherence) leaves 2, swapped by the anchor transposition (67) -- which IS boundary gauge (centralizer order 12) until the flag datum; the flag/side-orientation datum selects EXACTLY ONE code, identically under all three predeclared formalizations (FF1/FF2/FF3), and the decisive content is ONE deck-invariant Z2 = the product of the four side orientations (all 16 assignments decide by sum(s) mod 2 alone). DERIVED CHAIN EXACT: Construction A of the selected code IS E8 (240/2160 theta, Cartan det 1, arms 1-2-4; weight-4 supports == the deployed v638 C* list verbatim, post-selection cross-check); L/(1+i)L = F2^4 with the canonical symplectic bbar; the Arf selector with the BOUNDARY-canonical anchor naming (A = class of the flag-transversal root) picks a unique q*; sigma-orbit packets output g_car = 1 + 4 = 5 (240 = 5 x 48, 60 = 5 x 12). Controls fire (drop-J / drop-flag / twisted deck / illegal deck / all 105 non-doubly-even codes fail Construction-A evenness). HONEST RESIDUALS (typed): R1 the UNIVERSE premise -- 'the boundary realizes a doubly-even self-dual binary code on its 8 sides' is the new named premise (the circularity is RELOCATED and SHRUNK, not removed); R2 deck-placement blindness -- WHICH pair is the anchor is invisible to the selection (Aut(C*) contains every straight pair 3-cycle); the placement is SEMANTIC, not selective (the wrong-deck control does not fire, typed as an honest deviation); R3 anchor naming -- bbar(F_Sigma, A) = 1, so A vs A + F_Sigma changes q*; the flag-transversal naming is boundary-canonical but part of the frozen selector, not a theorem. NO P2-REMOVAL CLAIM. OPEN CONTRACT FORM (registered here [O]): derive evenness/self-duality of the mark bookkeeping from the seam axioms (R1), plus the R2/R3 residuals; kills: a second boundary-legal code surviving the flagged selection, or a seam-axiom derivation forcing a non-doubly-even universe. No marker move, NO RH claim. NOTE (2026-08-06, v798/v799 -- marker UNCHANGED): all three honest residuals move -- R1 is REPLACED by R1' (v799 TYPEII-FORCED: exhaustively at length 8, mutual locality <=> self-orthogonal, integer conformal spin <=> doubly even, holomorphy/index one <=> self-dual; the universe premise reduces to the three physical axioms A1-A3, each a standard physical demand, not a coding-theory premise); R2 is SOLVED semantically (v798: the deck J = iI IS the metaplectic anomaly (T3 K3)^3 of the total symplectic Fourier at tau = i, and zeta8 = (1+J)/sqrt2 the real half-deck swapping the seam pair); R3 is NAMED, not fixed (v798: the strict census over the 46080 coset elements is EMPTY -- no Theta-real metaplectic involution fixes q* -- but the sigma-orbit of lifts has Arf defects exactly {A + F_Sigma + F_i} whose XOR is the anchor A itself). NO P2 marker move anywhere. NOTE (2026-08-06, v803 -- marker UNCHANGED): the attack surface is SHARPENED by the affine NS/R reconstruction -- the [8,4,4] Hamming code re-emerges as the evaluation code of affine functions on the 8-point NS/R torsor A = chi_NSR^{-1}(1), with Stab(chi_NSR) = AGL(3,2) = Aut(H8) carrying the same natural 8-point action (1344 equivalences, exact census); HONEST TYPING: the route to V still passes through Gaussian E8, so this is an exact INTERNAL reconstruction, not a P2 removal and not an independent boundary-code derivation -- residual R1' (the three physical axioms, v799) unchanged.
Recorded status: Exact [E] finite selection chain (census / Construction A / Arf selector, all exact arithmetic) + OPEN research contract [O]: derive the doubly-even self-dual universe premise from the seam axioms; NO P2-removal claim (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: BOUNDARY-CODE-UNIQUE: census 135 -> 30 -> 14 -> 2 -> 1 without Hamming/E8 input; flag datum = one deck-invariant Z2; Construction A -> E8 exact; q* unique; g_car = 1 + 4 = 5 as OUTPUT; residuals R1 (universe premise, the relocated+shrunk circularity), R2 (deck placement semantic), R3 (anchor naming) typed; open contract: derive evenness/self-duality from the seam axioms; NO P2-removal claim; no RH statement.
Dependencies: ARF.SPINORCOMPILER.01; AX.P2.01; E8.GAUSSCODE.01; E8.PROJHAMMING.01; v689; v736; v638; v752
Scripts: v776_boundary_hamming_uniqueness.py
Location: tfpt_1;tfpt_2;tfpt_3;tfpt_research_contracts
Original CSV, line 681Original ledger status
QGEO.GRIDSUP.01
Remainder (a) of the (L1) majorant lemma FULLY closed in the corrected (1 + ln M) form -- one module from two probes (19 + 19 checks, ~40 s; discovery probes qgeo_grid_supremum_probe.py 19/19 GRIDSUP-SPLIT-CLOSED-LOG-LAW and qgeo_fourier_logsum_probe.py 19/19 FOURIER-LOGSUM-CLOSED, both 2026-08-05). THE FOUR-WAY SPLIT of the v745 residue (a): (a1) the continuum entrywise supremum CLOSED -- Taylor constant 5/8 symbolic, envelopes symbolic, 1-Lipschitz circ; ~1.26e6 census inequalities, ZERO violations (the fixed-grid restriction removed at entry level); (a2) the configuration-S1 closure CLOSED with explicit B_conf(eps) = floor(1/eps)[(5pi/6) zeta(2) eps^-2 + (5/192)(68pi^2/9) zeta(3) eps^-3] (packing + m-th-neighbour pigeonhole; zero violations); (a3) the remainder part under refinement CLOSED uniformly over ALL M <= N/2 with RHO(eps) via exact csc^3 integrals (zero violations); (a4) the leading part honestly LOG-DIVERGENT -- ||F_q^(M)(eps)||_1 grows like a + b ln M with b = (0.10..0.17)|f_q'(eps)|, the growth IS the eps-cut jump (C^1-taper control saturates), and it transfers: the literal v715 clause 'one B(eps) for ALL grid refinements' is FALSE at r1 = 1 with a fixed B(eps). THE SURVIVING INEQUALITY CERTIFIED AT THEOREM LEVEL: exact nu-twisted-circulant diagonalisation (F normal, ||F||_1 = sum |mu_k| exactly) + two exact cyclic summation-by-parts (two lattice spikes of exact mass (1/2M)|f_q'(eps)|; smooth part with the F3 = C3/sin^4 envelope, C3 = 314pi^3/27) + harmonic comparison: ||F_q^(M)(eps)||_1 <= c0(q,eps) + (J(eps)/4) ln(M+3) <= c0' + (J/pi) ln M a fortiori, J = 2|f_q'(eps)|, all constants exact; 162-case census (18 pairs x 9 rungs to M = 6144), ZERO violations in all seven clauses; the REPAIRED (L1) clause ||D_N^(M)||_1 <= [B0(q,eps) + (J(eps)/2) ln(M+3)]/N verified on all 252 transfer cases; Araki/Powers-Stormer summability survives with explicit closed forms (sum_l (A + Bl) 2^-l = 2A + 2B exact; even the extreme joint scaling M = N/2 stays summable). HONEST: the measured slope is J/pi^2 (spike interference) -- the certified J/4 and named J/pi are valid upper bounds, NOT sharp (the average-interference sharpening is not claimed); the constant part of the bound is loose, the log coefficient is the load-bearing content. Residues (b) L2 uniform FH/RH and (c) L3 uniformity of v745 stay UNTOUCHED and OPEN; GATE.QGEO does NOT move. No marker move, NO RH claim.
Recorded status: Theorem-level [E] closure of residue (a) in the corrected (1 + ln M) form (exact twisted-circulant + summation-by-parts + census, zero violations); the v715 literal clause corrected; residues (b)/(c) open; GATE.QGEO does not move (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: GRIDSUP-SPLIT-CLOSED-LOG-LAW + FOURIER-LOGSUM-CLOSED: (a1)-(a3) closed elementarily with explicit constants (zero census violations), (a4) closed by the certified grid Fourier log-sum theorem ||F||_1 <= c0 + (J/4) ln(M+3); repaired (L1) clause [B0 + (J/2) ln(M+3)]/N verified; Araki summability unaffected; measured slope J/pi^2 (bound valid, not sharp); (b)/(c) open; GATE.QGEO does not move; no RH statement.
Dependencies: QGEO.CARL1.01; QGEO.CARLIMIT.01; v745; v715
Scripts: v778_qgeo_gridsup_logsum.py
Location: tfpt_3;tfpt_research_contracts
Original CSV, line 682Original ledger status
GNET.GNSLIMIT.01
The G_net continuum strand -- finite-level precursors of the GNS limit net COHERENT, the exact C[Z4] obstruction dim law, and the honest Arf negative; one module from two probes (27 + 27 checks, ~50 s; discovery probes gnet_gns_limit_probe.py 27/27 GNS-PRECURSORS-COHERENT and gnet_arf_qsystem_probe.py 27/27 GNET-ARF-NO-CORRESPONDENCE, both 2026-08-05). THE PRECURSORS (typed finite evidence FOR the five v746 continuum theorems, never a continuum proof): Haar scaling isometry tower intertwines EXACTLY (V isometric, V H_N = H_2N V, V L_N = L_2N V <= 2.2e-16; window data literally level-independent; Fock coherence <= 1.5e-14); the index-4 expectation squares COMMUTE exactly (restriction coherence, [E_I, E_J] = 0, joint idempotency -- the finite half of the Longo Q-system identification); the canonical chiral-sea state is Cauchy with geometric contraction ~1/4 per doubling (d5 = 2.4e-4; parity-odd exactly 0); the index census is machine-exact at EVERY level with zero degradation (lambda* = 1/4, index 4*1, l = 1 anomaly stable at 3, PP margins clean); the split witness stabilizes and decreases with separation; the finite Haag-duality census gives twisted-duality DEFECT = 0 (dim A' = 4^{n_c} exhausted by the twisted complement) and dim B'/dim A' = 4 = the local Watatani index (l = 1: 3); a 10-section continuum-paper skeleton is the work product. THE EXACT DIM LAW: d_c(l) = 4^(l-1) + 2^(l-1) cos(pi c/2) for l = 1..6 -- the C[Z4]/Longo 4-element quasi-basis is OBSTRUCTED at every finite l with relative gap exactly 2^-l -> 0 (the crossed product is exactly asymptotic; the finite precursor of the GATE.METRIC.08/11 identification), and d_2(1) = 0 IS the l = 1 three-sector index-3 anomaly of v746; the explicit 185-element Watatani quasi-basis at l = 2 has sum v v* = 4*1 exact; sector-resolved split bounds are uniform along the tower; the sigma register exists internally on the Z6-quotient window W6 (deck + half-turn joint, dims (20,16,12,16), lambda* = 1/4) -- but dim Fock(W6) = 64 != 16. THE HONEST NEGATIVE, EXHAUSTIVE: the 16 = 1 + 5 + 10 counting echo is REAL and exact but NOT geometric -- F2-rank certificate 3 vs 4 (linear bijection impossible), GL(4,2) census 0/20160 for EVERY Arf-1 form's 5-set, no nontrivial internal order-3 symmetry (6144-element census); K_matter does NOT govern the tower weight transport (x5 = (0.414, 0.586) vs pi = (1/3, 2/3); the degenerate-decimation caution preregistered and confirmed by control C4). BINDING HONESTY RULE: index 4 = |mu4| and the channel eigenvalue 4/49 = (-2/7)^2 are different numbers from different registers -- nothing equates them. All controls fire (bond scramble, Z2-only, scrambled sea, decimation, wrong Arf form). Spec corrections carried verbatim (G4b spanning basis; S4 bar anchor). No marker move, NO RH claim.
Recorded status: Exact [E] finite coherence data + exact [E] dim law + measured [MEASURED] precursors and the honest negative, all typed finite evidence for the named continuum theorems -- never the theorems (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: GNS-PRECURSORS-COHERENT + GNET-ARF-NO-CORRESPONDENCE: exact Haar tower intertwining, commuting index-4 expectation squares, geometric state Cauchy ~1/4, machine-exact index census with zero degradation, twisted-duality defect 0 with ratio 4; dim law d_c = 4^(l-1) + 2^(l-1) cos(pi c/2) => C[Z4] obstruction exactly 2^-l (explains the l = 1 anomaly); the 1+5+10 echo exact but non-geometric (rank 3 vs 4, GL census 0/20160); K_matter does not govern transport; the two fours stay in their registers; no RH statement.
Dependencies: GNET.LOCALNET.01; GNET.PPINDEX.01; GATE.METRIC.08; GATE.METRIC.11; ARF.SPINORCOMPILER.01; v746; v726; v754
Scripts: v779_gnet_gns_arf.py
Location: tfpt_1;tfpt_2;tfpt_3;tfpt_research_contracts
Original CSV, line 683Original ledger status
E8.ONEOBJECT.01
The d = 4 forcing census + the 60-line clock synchronization kill, one module from two probes (21/21 + 23/23 checks, ~5 s; discovery probes one_object_reduction_probe.py ONE-OBJECT-PARTIAL and clock_fiber_product_probe.py CLOCK-FIBER-DEAD, both 2026-08-05). THE FORCING CENSUS (exact Fraction arithmetic, d = 2..12): the TFPT glue pattern (cyclic isotropic glue, evenness q = 0 mod 2Z, unimodularity |H|^2 = 4d) admits an even unimodular DIAGONAL glue of A_{d-1} (+) D_{d+1} iff d = 4 -- at d = 4 the census reproduces v92 EXACTLY (precisely two even Lagrangian glues, the graphs of the anti-isometries k -> k and k -> 3k), the explicit glued lattice is E8 (Gram det 1, exactly 240 norm-2 vectors, all integral over the glued basis), d = 9 (the only other perfect-square candidate from |H|^2 = 4d) dies at isotropy (0 even Lagrangians in Z9 (+) Z2 x Z2), and both relaxation controls fire (dropping evenness opens d != 4; dropping unimodularity opens d != 4). COROLLARIES AT THE FORCED d (verified arithmetic): g_car = d+1 = 5, N_fam = d-1 = 3, rank = 2d = 8, glue index sqrt(4d) = 4 = d = |mu4| -- the boundary object with four marked points reads P2 and the family count as the two functor readouts of ONE object. HONESTY GATE (binding): c_3 = 1/(2 pi d)|_{d=4} = 1/(8 pi) is a corpus-legitimate REWRITING (c_3 = 1/(2 e_1(a) pi) with e_1(a) = 4 = |mu4|, tfpt_1 anchor-first refinement / v23), NOT a corpus derivation of P1 -- ONE-OBJECT-FORCED was predeclared unreachable and P1 stays a primitive postulate. THE CLOCK KILL (part 2): the hypothesized fiber-product action L_60 = Z12 x_{Z6} Z30 of the seam clock (order 12, c = J o sigma, v629/v634) and the Coxeter clock (order 30, Kostant census {30: 8}, w^15 = -1) on the 60 Gaussian lines is DEAD at three levels -- the Coxeter clock does not preserve the line partition; the FULL line-compatible group (the 11520 line-reflection image extended by conjugation) has order 23040 with maximum element order 12, so line orders 15/30/60 are absent for EVERY realization of the clocks; and the fiber product itself is cyclic Z60 (exact SNF arithmetic; the full product Z12 x Z30 has invariant factors (6,60)) which cannot embed. All three census controls fire (the CC2 sampler-widening correction disclosed and carried). ROOTCLASS-MIXED (v775) binding in both parts: no line/code -> matter semantics. No marker move, NO RH claim. NOTE (2026-08-06, v807 -- marker UNCHANGED): the BOUNDARY.NULLSELECTOR addendum -- a second, independent d = 4 selector on the same invariant: the functor vector v_d = (d+1, -(d-1), d) (honest RR/Serre arithmetic) has |v_d|^2_L = det M(v_d) = d(4-d), null/rank-one iff d = 4, with M_4 = 2(1,2)^T(1,2) the certified spinor square and g^2 - N^2 = 4d = |H|^2 identically -- null <=> glue index = d; the glue census forces {4} via evenness/unimodularity, the null selector via 4d = d^2: independent inputs, same output; the missing premise (why the boundary reading carries the functor vector) is typed OPEN in v807. Scope note (Prime Front separation): v807 supplies only its original S1 RR/Serre/null-spinor algebra here; no prime-window hypothesis or additional physical selector follows.
Recorded status: Exact [E] lattice/discriminant-form census results and an exact [E] group-theoretic kill, both behind explicit fences; the c_3 link stays typed INTERPRETATION (no P1 derivation); no marker move (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: ONE-OBJECT-PARTIAL + CLOCK-FIBER-DEAD: even unimodular diagonal glue of A_{d-1}+D_{d+1} iff d = 4 (census 2..12, v92 reproduced, E8 certificate); g_car = 5 / N_fam = 3 / |mu4| = 4 as one-object corollaries; c3 = 1/(2 pi d)|_{d=4} typed corpus-legitimate rewriting, NOT a P1 derivation; the Z12 x_{Z6} Z30 clock action on the 60 lines dead at three levels (group order 23040, max element order 12); controls fire; no RH statement.
Dependencies: v1; v23; v53; v92; v623; v629; v633; v634; ARF.ROOTCLASS.01
Scripts: v781_one_object_clock_census.py, v807_lorentz_nullselector.py
Location: tfpt_1;tfpt_3
Original CSV, line 684Original ledger status
E8.TRANSITIONBUS.01
The transition-bus structure theorem (35/35 checks, ~2 s; discovery probe e8_transition_bus_probe.py TRANSITION-BUS-TORSOR, 2026-08-05). The 240 roots of the unimodular hermitian Gaussian E8 lattice are 15 disjoint coordinate 8-frames (cross-polytopes) over the class map V = L/(1+i)L; on L/2L the quadratic form q(y) = <y,y>/4 mod 2 is well defined and the 120 root PAIRS are exactly the 120 q = 1 points of the plus-type quadratic space; the 8 pair-images of class v form a coset of (1+i) v_perp inside the 16-element fiber of L/2L -> V -- a canonical TORSOR under v_perp (an affine F2^3 with no distinguished origin); the deck J acts on each pair fiber as translation by v and -1 = J^2 acts trivially on L/2L. THE OBSTRUCTION CENSUS IS PROOF-GRADE: -1 acts freely on the 240 roots but trivially on V x (V minus 0), and J acts on each 16-root fiber with cycle type 4+4+4+4 while any torsor translation has order <= 2 -- hence NO bijection R(E8) -> V x (V minus 0) can be equivariant under the deployed deck symmetries; the honest structured object is the pair-level torsor plus an unoriented sign (the strict 16-state labeling, if written down, is pure bookkeeping). THE FROZEN PREDICATE (trained on a frozen 3-class-pair set, hashed, then verified): with the basepoint rule rho_v = lex-min pair image and C(v,v') = q(rho_v + rho_v'), the symplectic dictionary reproduces ALL 57600 ordered inner products, with the SIGN LAW part of the claim (the central -1 is invisible at every mod-(1+i)^2 level; every realized key carries the sign-symmetric value set) and the h-refinement ((q-bit, hbar) -> h value classes). SPREAD LAYER: 240 = 5 x 3 x 16 (context x family direction x state) via the certified isotropic spreads with the arf-certified q* selector. A15 COMPARISON QUANTIFIED: A15's 240 roots are LITERALLY the transitions of 16 states (a strict bus with a canonical start state); E8 preserves the count, the fibration, the frame and the translation involution but DOUBLES the cross-class non-orthogonality (26880 vs 13440 ordered pairs) and provably has NO start state. Controls C1-C3 fire (the C3 control-design correction disclosed: the original label transposition was vacuous, corrected to a class-assignment scramble; frozen spec untouched). ROOTCLASS-MIXED (v775) unaffected: no matter assignment. No marker move, NO RH claim. NOTE (2026-08-06, v800 -- marker UNCHANGED): the torsor structure acquires its canonical CHARACTER reading -- the 120 projective Fourier rays of the origin-free fibers are canonical (an origin shift is a global sign), orthogonal (Gram = 16 I), deck/Pauli-diagonal and G31-monomial through Sp(4,2); the 8 R-fibers' 64 rays factorize as (1+5+10) x (1+3) under W(D5) x W(A3) -- the carrier Pascal at character level, with the weight basis exactly mutually unbiased (ROOTCLASS-MIXED intact). See E8.TORSOR.FOURIER.01.
Recorded status: Exact [E] finite structure theorem (torsor + predicate + obstruction census) behind the interpretation fence ('transition bus / instruction set' language stays interpretation); no marker move (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: TRANSITION-BUS-TORSOR: 15 coordinate 8-frames; pair fibers = canonical v_perp-torsors; NO deck-equivariant V x (V-0) labeling exists (proof-grade obstruction); the frozen symplectic predicate reproduces all 57600 inner products incl. the sign law; 240 = 5 x 3 x 16 spread layer; A15 comparison quantified; controls fire; no RH statement.
Dependencies: v752; v689; ARF.SPINORCOMPILER.01; ARF.ROOTCLASS.01
Scripts: v782_e8_transition_bus.py
Location: tfpt_1;tfpt_3
Original CSV, line 685Original ledger status
E8.CLIFFORD2Q.01
The two-qubit stabilizer identification of the compiler carrier (32/32 checks, ~4 s; discovery probe two_qubit_clifford_probe.py CLIFFORD-PARTIAL(H4), 2026-08-05). H1 EXACT: under the single predeclared chart U (the coordinate-class frame v_k = 2 e_{2k} -> the computational basis; z_k = r_2k + i r_2k+1, J -> multiplication by i) the 60 Gaussian E8 lines ARE the 60 pure two-qubit stabilizer rays, entry-exactly over Z[i] -- 60/60 projective matches with support census 4 + 24 + 32 on both sides; no fallback frame needed. H2 EXACT: U G31 U^-1 is an INDEX-2 subgroup of the two-qubit Clifford matrix group C2 = <H(x)I, I(x)H, S(x)I, I(x)S, CNOT> -- |C2| = 92160 = 2 x 46080 with coset zeta8 G31; projectively |C2/U(1)| = 11520 = |G31|/|mu4| (equal). H3 EXACT (the semantics carry): 46080 = 4 x 16 x 720 = mu4 x Pauli16 x Sp(4,2), with ker(G31 -> Sp(4,2)) = mu4 * Pauli16 and the 16 Paulis mod phase acting trivially on the 16 code states of V = L/(1+i)L; the 15 Gaussian classes ARE the 15 maximal commuting Pauli contexts (the W(3,2) = GQ(2,2) polar-space identification: hbar(x,y) = 0 iff the contexts share a Pauli, all 105 pairs; v752's B transported); the 6 spreads are the MUB pentads (cross-context |<psi|phi>|^2 = 1/4 EXACT) pulling back to ovoids (the self-dual GQ(2,2) point-line duality). H4 FAILS AS PREDECLARED (the honest partial): the index-2 character chi conjugates NEITHER J nor the mu4 phases (zeta8 is central) -- chi is the GALOIS sqrt2/HADAMARD bit Gal(Q(zeta8)/Q(i)), and it exchanges the two mu8-lift classes {mu4 R, zeta8 mu4 R} of the 240 roots; the J <-> -J orientation bit is the separate ANTIUNITARY outer Z2 (which fixes chi). All four controls fire (Haar-random 0/60; the T-gate residual-torus twist gives EXACTLY the predeclared 16/60; the non-context controlled-Hadamard frame 12/60 < 60; seeded random rays 0/60) -- the frame alone does not force the identification, the lattice does. Stabilizer-formalism mathematics about the carrier: the fired ROOTCLASS-MIXED kill (v775 / ARF.ROOTCLASS.01) is UNAFFECTED, no matter reading is made. No marker move, NO RH claim. NOTE (2026-08-06, v798 -- marker UNCHANGED): the missing coset zeta8 G31 is IDENTIFIED -- the per-binary-factor Hadamard is the metaplectic/Weil lift of modular S at tau = i (exact fixed-point relations; Weil constant zeta8), the total Fourier H (x) H lies inside G31 with anomaly (T3 K3)^3 = iI = J, so this row's sqrt2/Hadamard Galois bit is the tau = i metaplectic bit; the strict q*-fixing census over the coset is empty (the Arf defect unavoidable) with exactly one G31-conjugacy class of Theta-real metaplectic survivors. See SEAM.CLIFFORD.MODULAR_S.01.
Recorded status: Exact [E] finite group/lattice identification (H1-H3) with the H4 layer honestly PARTIAL (the index bit identified as the sqrt2/Hadamard Galois bit, not J <-> -J); no marker move (Python-only per GATE.WOLFRAM.02).
Dependencies, status detail and source
Canonical status: CLIFFORD-PARTIAL(H4): the 60 Gaussian lines = the 60 two-qubit stabilizer rays entry-exactly over Z[i] (60/60, census 4+24+32); G31 = index-2 subgroup of the Clifford matrix group (coset zeta8 G31, projectively equal); 46080 = mu4 x Pauli16 x Sp(4,2) with classes = contexts and spreads = MUB pentads; the index bit = the sqrt2/Hadamard Galois bit (H4 as predeclared); controls fire; no matter reading; no RH statement.
Dependencies: v689; v752; v634; E8.GAUSSIAN.CODE.01; ARF.ROOTCLASS.01
Scripts: v783_two_qubit_clifford.py
Location: tfpt_1;tfpt_2;tfpt_3
Original CSV, line 686