Original ledger status
GRAV.NONCIRCULAR.01
THE BISOGNANO-WICHMANN DIRECTION FIREWALL (registered 2026-08-27, with audit census). BW is a theorem WITHIN an already-local Poincare-covariant QFT with suitable vacuum (wedge modular flow = boost); it does NOT generate Lorentz spacetime from an arbitrary modular flow (Poincare-covariant nets violating BW exist: Mund arXiv:hep-th/0101227, Morinelli arXiv:1703.06831). Correct order: 4D net + locality + vacuum + spectrum condition => BW => geometric modular time. NEVER: KMS/modular spectrum => Lorentz space => BW. RULE: every BW/CHM use must declare ASSUMPTION (imported; result conditional on QFT4D.OS.RECON.01-class existence) or RESULT (derived intrinsically). AUDIT CENSUS at registration: entanglement-equilibrium Einstein derivation (v323/v358/v359) = ASSUMPTION (CHM ball + BW boost are inputs; conditional on the 4D package; never citable as evidence FOR it); QG.AMB.01 redundancy (v369) = ASSUMPTION declared ('conditional on SEAM.EQUIV.01 + BW'); seam KMS normalisation chain (v259/v526, beta_angle = 2 pi) = ASSUMPTION dimension-typed (Tomita-Takesaki on 1+1D/2D seam objects, a normalisation, not a spacetime derivation); intrinsic-BW programme (v438/v440/v446, HSMI/Borchers route) = RESULT-DIRECTION, open (corpus already records the v215 circularity warning); v478 CHM-parabola flow = EVIDENCE not derivation; origin_theory 'BW downstream of the seam being a chiral net' = CONDITIONAL declared. No marker moves; binds all future uses.
Recorded status: Firewall (standing discipline rule, in force; audit census recorded)
Dependencies, status detail and source
Canonical status: Firewall in force: every BW/CHM use declares assumption-vs-result; Einstein-derivation chain typed conditional on the 4D package; census of all current usages recorded
Dependencies: QFT4D.OS.RECON.01; QGEO.SYM.01; QG.AMB.01; SEAM.EQUIV.01
Scripts: See original ledger entry
Location: tfpt_research_contracts
Original CSV, line 747Original ledger status
OBS.TRANSDUCTION.01
THE TRANSDUCTION PRINCIPLE CONTRACT (registered 2026-08-27; elevates the S15 typing rule to a named principle). PRINCIPLE: observable signature = internal eigenvalue [compiler] + nonvanishing projection B P_r != 0 [transduction] + physical coupling operator [physics]. WITHOUT THE MIDDLE ARROW, NEITHER A NON-OBSERVATION FALSIFIES NOR AN OBSERVATION CONFIRMS. Minimal model machine-checked at exploration level (experiments/theory-contracts/fo01_transduction_invisibility.py): the uniform measurement functional sees the seam kernel exactly not at all (1^T (T^n p - pi) = 0 to 1e-14; burst-train statistics KS-indistinguishable from a scrambled control), while a character-resolved channel reconstructs 64/729 to 1e-10 -- invisibility is a property of the readout B, not of the channel. DEMAND [O]: for each empirical bundle (FRB/GW/pulsar nulls, the axion/birefringence family, any future search) prove or refute B P_r != 0 for the declared readout BEFORE scoring the null or the hit. BINDING APPLICATION: ACT+Planck isotropic birefringence close to beta_TFPT = phi_0/(4 pi) (arXiv:2608.06480) is an interesting coincidence, NOT proof, until the shared normalized axion action + transduction chain are proven (the axion bundle beta, f_a, m_a, g_agg, Omega_a, EDM from ONE action with ONE proven coupling). EXECUTED UPDATE (2026-08-28, v990): the first executed W[J] transduction shadow -- mixed d2W/dJ dtheta nonzero on the seam-coupled link (~-9.3e-3) and EXACTLY 0 on the decoupled e^c control (frozen companion: Q-staggered transduces, e^c stays 0). Per-bundle empirical transduction proofs stay [O]. Python-only / Wolfram mirror deferred.
Recorded status: Contract (principle registered; finite W[J] transduction shadow executed; per-bundle proofs stay Open)
Dependencies, status detail and source
Canonical status: Principle registered: eigenvalue + projection + coupling = signature. EXECUTED (v990): finite W[J] mixed-derivative transduction shadow (link transduces, e^c control = 0). Per-bundle middle-arrow proofs stay Open.
Dependencies: v221 (kernel); FO.01 (exploration minimal model); FRB/GW scorecard rows (readout typing)
Scripts: v990_wj_transduction_mechanism.py
Location: tfpt_research_contracts
Original CSV, line 748Original ledger status
PRED.JOINTLIKELIHOOD.01
THE JOINT LIKELIHOOD CONTRACT [O] (registered 2026-08-27; from hit-counting to overdetermined relations). The 27+ individually matched values descend from the same few atoms (phi_0, c_3, g_car, mu_4) and are statistically CORRELATED: counting hits overstates independent evidence. DEMAND: reorganize the evidence into overdetermined relation bundles, each carried by one proof object -- (i) the flavor invariant sum rule (one spurion/operator proof yielding theta_12, theta_13, delta_PMNS, J_PMNS, mass splittings and the CKM texture TOGETHER); (ii) the inflation consistency relation r = 3(1 - n_s)^2, alpha_s = -r/6 (eliminating N_star); (iii) the axion/birefringence bundle from ONE normalized axion action with the OBS.TRANSDUCTION.01 chain; (iv) the character-resolved transfer signature. STATISTICAL DEMAND: a joint likelihood over the frozen registry with the full atom-induced covariance matrix, the EFFECTIVE number of degrees of freedom (not the raw hit count), a prespecified null space and formula-selection rule, and a genuine holdout dataset (future measurements only). HONEST READING of the existing null test: the '13/13, < 1e-30' Monte-Carlo statement (v100) quantifies the look-elsewhere burden UNDER ITS DECLARED NULL MODEL and is only interpretable as evidence to the extent that null space, formula grammar and development data were prespecified -- which for historically known observables they were not and cannot retroactively be; the 2026-06-09 freeze (v84) genuinely protects FUTURE measurements, it does not turn historically known data into blind predictions. docs/FALSIFICATION.md wording adjusted in the same change (honest, not weakened: freeze and kill tests stand). EXECUTED UPDATE (2026-08-28, v992): v1 joint likelihood over nine frozen pull-matched scorecard triplets -- chi2 = 11.80 / dof 9 (p = 0.225), nu_eff = rank(J_atom) = 1, TFPT at 0th percentile of 200 scrambled decoders, LOO stable. Holdouts declared not consumed: JUNO Delta m^2, DESI Sigma m_nu, DUNE delta_CP, LiteBIRD r. v1 declarations: Sigma_exp diagonal (NuFIT/Planck covariances UNMODELLED, flagged); Sigma_bridge = Sigma_th = 0. PROMOTION CONDITIONS for full closure: off-diagonal Sigma, formula-grammar census, genuine future holdouts. Contract stays [O]. Python-only / Wolfram mirror deferred.
Recorded status: Open (statistics-construction contract; v1 executed [N]; promotion conditions typed)
Dependencies, status detail and source
Canonical status: Open: joint likelihood with atom-induced covariance, effective dof, prespecified null + formula grammar, real holdout. EXECUTED [N] (v992): v1 chi2=11.80/9, p=0.225, nu_eff=1, 0th percentile of 200 scrambled decoders, LOO stable; promotion conditions typed. Display marker stays Open.
Dependencies: v84 (frozen registry); v100 (null MC, reinterpreted); v375 (scorecard); OBS.TRANSDUCTION.01
Scripts: v992_joint_likelihood_v1.py
Location: tfpt_research_contracts
Original CSV, line 749Original ledger status
SEAM.INT.ODDSPLIT.01
THE ODD-SPLIT LAW (measured 2026-08-27; promoted in v972): the v529 straddle law refined on the 16-Majorana FK seam toy via the Jaffe-Pedrocchi Majorana-RP class made DECIDABLE -- the crossing coefficient matrix B is UNIQUE (left-monomial pairs biject onto crossing monomials), so 'B Hermitian AND -B PSD' is a finite check. (1) THE INSTRUMENT: the checker certifies the free FK Hamiltonian on all 8 bond cuts (twist eta = -i forced); confusion matrix vs measured RP over 35 cells PERFECT (23 cert&PD / 12 uncert&fail / 0 FP / 0 FN). (2) THE EXCLUSION: the mu4-covariant quartic space has dim 464 and ZERO basis directions (and 0 of 64 seeded combos) are JP-certifiable on all cuts; the support-level exclusion extends to the full 1820-dim quartic space (CLASS_EMPTY_ON_BASIS). (3) THE DISCOVERY: JP predicted RP survival on CENTER-straddled cuts (m = 4 model, axes 7/15, 2+2 mirror split) and direct measurement CONFIRMED ((37,0,0) at g = 0.5/1/2) -- a straddled cut kills RP iff the split is ODD (1+3); the v529 anchor ladder reproduced exactly ((37,0,0),(33,4,0),(33,4,0),(31,6,0),(29,8,0)). FENCE INHERITED VERBATIM: one toy, one interaction class, [C] flat-band parent; JP is SUFFICIENT-ONLY (the emptiness is a statement about the certificate, not a no-go for measured RP).
Recorded status: Measured/Exact [E] (toy level; JP sufficient-only; v529 fence inherited); no marker moves
Dependencies, status detail and source
Canonical status: [E] JP made decidable (unique B) + free FK certified on all 8 cuts + confusion 23/12/0/0 + quartic class EMPTY on the basis => the straddle law refined to the ODD-SPLIT LAW (JP-predicted, measurement-confirmed); toy level, fence inherited
Dependencies: SEAM.INT.FKTOY.01; WOIT.OS.TWISTOR.01; v529; v903
Scripts: v972_seam_interaction_front.py
Location: tfpt_3;tfpt_research_contracts
Original CSV, line 750Original ledger status
SEAM.INT.OSAVOID.01
OS VIABILITY ON THE QUARTET-AVOIDING FAMILY (measured 2026-08-27; promoted in v972): the v529 kill-test-2 counterweight -- (1) the straddle census 24/24 reproduced; (2) the clock-invariant m = 4 member's quartet-avoiding cut family generates the FULL even seam algebra (rank 15, dim 32768 = 2^15; the single-cut members m = 2/6 carry a typed deficit of EXACTLY 1); (3) OS/GNS on the avoiding cut k = 3 at g = 1 is POSITIVE (min eig +4.4338e-5, GNS 37/37, PD clock-transfer shadow, the low spectrum deforming continuously from g = 0, distances 1.044/1.386/1.650 monotone); (4) the straddled control GENUINELY FAILS (-6.936e-2) -- same machinery, honest negative; (5) the mu4 clock maps the avoiding pair {3, 11} onto itself EXACTLY at operator level. READING: the interacting toy state IS OS-positive on the cut family its own clock geometry selects -- the kill-test-2 threat is NARROWED (an OS-viable geometry exists), NOT removed (every A_hol must still protect RP against the odd-split mechanism). FENCE INHERITED: one toy, one interaction class, [C] flat-band parent; toy statement, not a reconstruction of an interacting continuum theory.
Recorded status: Measured [E] (toy level; v529 fence inherited); no marker moves
Dependencies, status detail and source
Canonical status: [E] the avoiding family generates the full even algebra (rank 15) and carries a positive OS/GNS structure at g = 1 while the straddled control fails; kill-test-2 counterweight narrowed, not removed; toy level
Dependencies: SEAM.INT.FKTOY.01; SEAM.INT.ODDSPLIT.01; WOIT.OS.TWISTOR.01; v529
Scripts: v972_seam_interaction_front.py
Location: tfpt_3;tfpt_research_contracts
Original CSV, line 751Original ledger status
SEAM.STATE.RPMIXING.01
THE RP MIXING CENSUS (measured 2026-08-27; promoted in v972): the v903 exclusivity is RAY- and REFLECTION-relative, NOT slice-wide. The full 33-dim C6-covariant mixing slice censused under BOTH deployable reflections: (1) theta_abT sees exactly ONE coordinate -- a_J, killed 1st order odd / 2nd order even, kernel value -1/(1+c^2) = -0.8240271368 at c = tanh(1/2) -- and 32/33 directions are identically invisible => a 32-dim MARGINAL RP hyperplane {a_J = 0}; (2) the theta_S Hermiticity-defect map has rank 16 => a 17-dim first-order-neutral subspace, NO second-order kill, with STRICT finite-s witnesses (W_S: pure a_J at s = 1/8, lambda_min 0.1558 -- the very direction theta_abT kills); (3) the v903 anchor reproduced (odd Gram eigenvalues == +-|a_J|, defect 1.7e-16, a_J = +0.04068013). ANSWER TO THE ROUND QUESTION: RP + C6-covariance do NOT force the channel-diagonal point; each reflection carves only the coordinates its half-side Gram can SEE, and the two reflections see complementary windows -- the v903 statement is about the v898 RAY, not the slice. TYPED: sector-truncated census (deg <= 2 Grams + deg <= 4 spots, not the full 256-monomial algebra); theta_abT invisibility = RP-SILENT, not certified positivity; the v898/v903 [O] premise UNMOVED. EXECUTED UPDATE (2026-08-28, completeness wave, v995): ALL 33 v972 mixing directions are killed by KMS ALONE on the finite CAR algebra (CAR_8 = M_256); covariance is provably redundant under full KMS (COVARIANCE_DROP_REDUNDANT_UNDER_FULL_KMS); unique E-invariant crossed-product state extension (196608 -> 0). Type-III/continuum KMS uniqueness stays [O]. Display of the census stays [E]; no marker move on the open continuum residual. Python-only / Wolfram mirror deferred.
Recorded status: Measured census [E] (sector-truncated; float64 exploration grade warded by exact identities) + finite KMS rigidity [E] (v995); type-III/continuum stays [O]; no marker moves
Dependencies, status detail and source
Canonical status: [E] census: theta_abT kills exactly one coordinate (32-dim marginal hyperplane {a_J = 0}); theta_S leaves a 17-dim neutral subspace with strict witnesses; the v903 exclusivity typed ray-/reflection-relative; premise unmoved EXECUTED UPDATE (2026-08-28, v995): finite KMS rigidity [E] -- all 33 mixing directions killed; covariance redundant; 196608 -> 0. Type-III/continuum stays [O]. WAVE-5 (2026-08-29): continuum leg listed as a child of SEAM.MMST.TYPEIII.CHARGED.01 [O]; finite KMS rigidity unmoved. Display unmoved.
Dependencies: SEAM.STATE.DERIVATION.01; SEAM.CFIN.KMSMIX.01; v903; v898
Scripts: v972_seam_interaction_front.py, v995_kms_subnet_rigidity.py
Location: tfpt_1;tfpt_research_contracts
Original CSV, line 752Original ledger status
SEAM.EQUIV.SKELETON.01
THE CROSS-ROUTE OS SKELETON (2026-08-27, v973): the two continuum routes of the seam equivalence target -- the MMST scaling-limit route (the p+ip collar edge) and the twistor route's Z4 lattice object -- share the EXECUTABLE OS skeleton: all FIVE WOIT kill-test main invariants (alpha: forced eta = +i, Theta^2 = +1, bond RP; beta1: GSO 2-torsion; beta2: OS quotient exists + KMS expansion lambda_max > 1; beta3: perp descent Theta^2 = +1; gamma: mirror flip, multiplicity-free clock, mark incidence) hold VERBATIM on the collar edge, 5/5; ALL divergences between the two route objects are control-typed and trace to ONE mechanism -- the twistor lattice's exact chiral checkerboard C(even) = 0 (a bipartiteness consequence, re-derived exactly in v973 S0c: S H S = -H forces every odd function of H to vanish on even distances) vs the collar kernel's K(even) up to 0.1736 -- independently confirming v519-R4's typing of the site-cut RP failure as a lattice-placement artifact, now from the second route; FIRST_DIVERGENCE = ALPHA.SITECUT.CHECKERBOARD (control-typed). BONUS: the collar's top edge realizes the anti-chiral state EXACTLY (max |K_top + K_bot| = 7.5e-16; v973 S0c re-derives K_top = -K_bot as an exact symmetry consequence P H P = -H on a strip); the M = 3 trivial collar loses the skeleton FIRST at GAMMA.MARK.INCIDENCE (mark Grams lose rank (13,0,3) vs (16,0,0)) -- the skeleton tracks the topological phase, not the lattice bookkeeping. HONEST BOUNDARY: an executable-level statement about the two lattice route OBJECTS, typed FULL/PARTIAL per test -- NOT an equivalence of the routes and NOT a continuum statement; it narrows the seam question (both routes carry the same OS/RP/GSO/mark structure wherever it is computable) but closes neither SEAM.EQUIV.MMST.01 nor SEAM.EQUIV.TWISTOR.01, which stay [O].
Recorded status: Exact [E] (executable skeleton; fine types Lattice/Numerical for the collar battery, Identity for the S0 mechanism gates)
Dependencies, status detail and source
Canonical status: [E] the executable OS skeleton is shared 5/5 with all divergences control-typed to the checkerboard mechanism; an executable-level narrowing -- does NOT close either route or the parent
Dependencies: SEAM.EQUIV.01; SEAM.EQUIV.MMST.01; SEAM.EQUIV.TWISTOR.01; WOIT.OS.TWISTOR.01
Scripts: v973_seam_route_narrowing.py
Location: tfpt_research_contracts
Original CSV, line 753Original ledger status
ALPHA.QUILLEN.FACES.01
THE TWO NAMED FACES OF ALPHA.QUILLEN.EXACT.01 CARRY COMPUTED WITNESSES (2026-08-27, seam/alpha promotion wave; probes seam_bfk_conical_det_probe 21/21 SPEC d06b3bbec70e7efc / laughlin_pump_em1_probe 20/20 SPEC f9b5cb0bf20d0293 / quillen_rigidity_chain_probe 18/18 SPEC b4ee0dd0141da6ab, embedded byte-exact in v974). [E] BFK FACE EXECUTED: the Mayer-Vietoris determinant gluing on the seam circle at the four mu4 marks -- C_glue = 2^-N EXACT (N = 1..4 symbolic, general lengths), det'_zeta(Delta_S1) = l^2 reassembled, R(m) = (G_m|_marks)^-1; at KMS R_0 = 16 c3 circ(2,-1,0,-1), det'R_0 = 2^16 c3^3, glued product (2 pi)^2; vs v484 channel-wise EXACT (same mu4 eigenbasis, |spec| {0,2,2,4}, doublet ratio 4/ln2 with c3 cancelling, Tr B^k = 4^k + 2 2^k vs Tr C^k = 4^k + 2(-2)^k) but NOT globally proportional -- the kernel swap (gauge zero mode vs sign rep) is the sharpened diagonal-zeta face. [E] EM1 FACE COMPUTED: pumped charge == edge spectral flow == Streda == Chern == 1 on the v367 collar, single complex copy, sign-coherent conjugation mutant; 16-copy bookkeeping exact (c_- = 8, kY = 5/3, (1/kY) 41/6 = 41/10 = b1). [E] QUILLEN IDENTITY AT THE FINITE SHADOW: Berry integral == Poincare-Lelong divisor integral == +1 two-sided, difference an exact form, transition winding == Chern; anchor re-derived (alpha^-1 = 137.03599921684071, split residual 6.4e-58 at 50 digits, 8 b1 = 164/5 exact). [C] TYPED CONDITIONAL: IF the seam state is quasi-free (the rigidity premise, measured not forced in the strong form by SEAM.STATE.RPMIXING.01) THEN the identity applies literally to the seam det line. HONEST SCOPE: closes NOTHING on ALPHA.QUILLEN.EXACT.01 -- remaining content {rigidity premise} + {channel-swap question} + {continuum Bismut-Freed identification}; the BFK face is Delta = |D|^2, not a |D|-level operator identity; the pump is a single-copy statement.
Recorded status: Exact/computed witnesses [E] + typed conditional [C]; the target row stays [O]
Dependencies, status detail and source
Canonical status: Exact witnesses for both faces; target stays open
Dependencies: ALPHA.QUILLEN.EXACT.01; SEAM.CONTACT.UNIT.01; SEAM.CONTACT.UNIT.02; EM.WARD.01; ALPHA.QUILLEN.INFLOW.01; SEAM.STATE.RPMIXING.01
Scripts: v974_alpha_faces_computed.py
Location: tfpt_1;origin_theory;tfpt_research_contracts
Original CSV, line 754Original ledger status
DIMENSION.SELECTOR.4D.01
THE CONDITIONAL 4D DIMENSION SELECTOR [C] (registered 2026-08-27 from the external bird's-eye review, the master-route wave; machine-checked in v975, 16/16 sympy-exact). STATEMENT: under the named TFPT-compatible physics axiom set A1 (d > 2: propagating local gauge fields, d-2 >= 1 transverse polarizations), A2 (dimensionless Yang-Mills coupling), A3 (real self-dual/anti-self-dual 2-form sectors: the Euclidean Hodge star is an involutive endomorphism of 2-forms), A4 (chiral Weyl representations: even d), the spacetime dimension d = 4 is UNIQUE and MINIMAL on the exact scan window d = 2..12, and the selector is OVERDETERMINED: A2 alone = {4} ([g_YM] = (4-d)/2 forced symbolically from dimensionless-action power counting; unique zero d = 4) and A3 alone = {4} (* : Omega^2 -> Omega^{d-2} is a self-map iff d = 4; the explicit 6x6 star on Lambda^2(R^4) has *^2 = I with eigenvalues +-1 at multiplicities 3/3 -- the real SD/ASD split su(2)+ x su(2)-), while A1 & A4 alone give {4, 6, 8, 10, 12} -- chirality does NOT select 4 by itself (honest ablation ledger). Weyl chirality certified by exact Clifford algebras d = 2..7 (even d: gamma_* anticommutes with every gamma_mu, gamma_*^2 = I, tr = 0; odd d: the full product is CENTRAL and scalar -- no grading). Signature typed honestly: Lorentzian *^2 = -1 on 2-forms in d = 4 -- the real split is a EUCLIDEAN/OS-side statement. MUTANTS caught: the wrong power counting [g] = (6-d)/2 selects {6}; the 'A4 alone selects 4' overclaim is REFUSED. FIREWALL (binding): mu4 and g_car enter NOWHERE -- 'mu4 => 4D' stays forbidden per DIMENSION.UPLIFT.FIREWALL.01; this is a CONDITIONAL selector, not a derivation: AXIOM PROVENANCE IS THE OPEN HALF (kill criterion: if A1-A4 cannot themselves be forced from the compiler primitives {c3, g_car}, the selector is a consistency statement, not a prediction); no 4D construction contract is advanced by this row.
Recorded status: Conditional [C] (exact selector under the named axiom set A1-A4; axiom provenance from the compiler open)
Dependencies, status detail and source
Canonical status: Conditional [C]: d = 4 unique + minimal + overdetermined under {d > 2, [g_YM] = 0, real SD/ASD 2-form split, Weyl chirality} on d = 2..12; A2 and A3 each pin {4} alone, A1 & A4 alone = {4, 6, 8, 10, 12}; mu4 enters nowhere; axiom provenance from {c3, g_car} is the open half
Dependencies: DIMENSION.UPLIFT.FIREWALL.01; SEAM.BULK4D.RECON.01; QFT4D.OS.RECON.01; CHIRAL4D.NOMIRROR.01
Scripts: v975_dimension_selector_4d.py
Location: tfpt_research_contracts
Original CSV, line 755Original ledger status
SEAM.SIMPLECURRENT.GENERATOR.01
THE SIMPLE-CURRENT GENERATOR CONTRACT [O] (registered 2026-08-27 from the external bird's-eye review; the seam-gap compression conjecture). CONTEXT: v973 carved the cited-theorem coverage of the seam target -- the so(16)_1 fermion-bilinear half is COVERED (strong convergence, Virasoro/correlator control, polynomial errors), the NAMED residual is N1 (the mu4/GSO extension SO(16)_1 -> (E8)_1 as a NET statement: the 128 spinor currents are not bilinears), N2 (the twist/spin-field sector), N3 (the one-sided chiral edge), N4 (the holomorphy selector det K = 1 vs 4). DEMAND (the compression): construct ONE normalized simple-current/spin-field intertwiner -- the generator of the index-4 Q-system extension (v125/v154) -- with proofs of (G1) convergence on the finite-particle core with energy bounds, (G2) locality relative to the bilinear net, (G3) the correct braiding/monodromy relation, (G4) Q-system closure, so that symmetry and fusion generate the ENTIRE 128-dimensional extension sector from the single generator -- collapsing N1 + N2 (and, via uniqueness of the extension, the N4 selector) onto ONE convergence theorem instead of 128 separate current controls. KILL TESTS: the generator is provably nonlocal relative to the bilinear net; the energy bounds fail on the core; the braiding closes on the WRONG extension (SO(16)_1 stays unextended); the convergence rate is incompatible with the measured bilinear collar rate (v973: p = 3.48 inside the preregistered band). DIMENSION TYPING (binding, per DIMENSION.UPLIFT.FIREWALL.01): hypotheses AND conclusion live in 1+1D -- closing this contract does NOT close SEAM.BULK4D.RECON.01 or any 3+1D claim. EXECUTED UPDATE (2026-08-28, v988): S3 crossed-product/tower exchange EXACT (naturality; non-equivariant mutant fails); S1 window convergence + sector collapse measured (rates ~N^{-1.85} on the large collar; qualitative law on a reduced collar); S2 quantitative: windowed HS bounded (Shale ~0.376) + global HS^2 = 3.605+0.203 log N (topological) vs saturation (trivial); matrix-element Cauchy on the phase-fixed band; energy bounds f_n < C^{n+1}(n!)^2 (probe C=2.86). VERDICT: the remaining lemma REDUCED to cited quasi-free theorems (Shale-Stinespring/Araki/Ruijsenaars) + the MMST identification -- REDUCTION, NOT CLOSURE. Open rest = the MMST identification. Python-only / Wolfram mirror deferred. EXECUTED UPDATE (2026-08-28, v993): [lambda]^2 = [v] EXACTLY -- the order-4 glue class squares to the fermion-parity / D5-vector class (lattice shadow of U^2 = (-1)^F); non-split (vector glue norm 7/4 not in 2Z). The FULL rank-8 ADE census selects (D5, A3) uniquely, so the D+A architecture is an OUTPUT of (rank 8 + cyclic Z4). Python-only / Wolfram mirror deferred. EXECUTED UPDATE (2026-08-28, completeness wave, v994): 5 of 7 MMST identification criteria executed [E-measured] (c = 8.005, conformal spectrum, k = 1, det D8=4 -> det E8=1, (E8)_1 vacuum character [1,0,248,0,4124,0,34752] three orders deep). C6 is the written-out quasi-free convergence theorem (articles/2026-08-28/psi_lambda_convergence_theorem_en.tex; 2/pi^2 = 0.20264 vs measured 0.203, 0.18%) -- this IS the G1/C6 hand-off. C7 modular invariance stays cited/open. Display stays [O]. Python-only / Wolfram mirror deferred. EXECUTED UPDATE (2026-08-29, review wave 4, v998): the C7 arithmetic shadow of the MMST identification (Theta_E8=E4 exact, character four orders, two-edge HS 2.11) is now machine-checked; net-level C7 / G2/G3/G4 stay cited. Display stays [O].
Recorded status: Open [O] + lattice shadow [E] (v983) + quantitative S1/S2 skeleton [E-measured] + reduction-to-cited-class [C conditional] + MMST criteria 5/7 executed [E-measured] (v994) + C6 written-out [C]; open rest = C7 modular invariance + net-level G2/G3/G4; no closure
Dependencies, status detail and source
Canonical status: [E] (v983): lattice-arithmetic generator lambda = (omega_s, omega_f). [E-measured] (v988): S3 exact + S1/S2 quantitative skeleton on toy and v367 QWZ collar. [C conditional] (v988): lemma reduced to cited quasi-free class + MMST identification. [O] open rest = C7 modular invariance + net-level G2/G3/G4; no closure; 1+1D in and out. [E] (v993): [lambda]^2 = [v] parity shadow of U^2 = (-1)^F; rank-8 ADE census unique (D5, A3) -- D+A architecture is an OUTPUT. [E-measured] (v994): 5/7 MMST identification criteria (c=8.005, character [1,0,248,0,4124,0,34752], k=1, det D8=4->det E8=1). [C] (v994): C6 written-out in psi_lambda_convergence_theorem_en.tex (2/pi^2 vs 0.203).| 2026-08-29 v998: C7 arithmetic shadow exact (shared with SEAM.EQUIV.MMST.01); net-level C7 stays cited. Display unmoved. WAVE-5 (2026-08-29): parent scaling-limit theorem SEAM.MMST.TYPEIII.CHARGED.01 [O] named; G1-G4 analytic half still [O]. Display unmoved.
Dependencies: SEAM.EQUIV.01; SEAM.EQUIV.MMST.01 (the v973 N1-N4 carve); v125; v154; DIMENSION.UPLIFT.FIREWALL.01; v993
Scripts: v983_simple_current_generator.py, v988_psi_lambda_reduction.py, v993_minimal_defect_selector.py, v994_mmst_criteria_battery.py, v998_seam_modular_closure.py
Location: tfpt_research_contracts
Original CSV, line 756Original ledger status
TFPT4D.LATTICE.ACTION.01
THE EXPLICIT 4D LATTICE ACTION CONTRACT [O] (registered 2026-08-27 from the external bird's-eye review; route step (2) of the DIMENSION.UPLIFT.FIREWALL.01 ordering made concrete -- THE single object on which nearly all open 4D questions become simultaneously testable). DEMAND: exhibit ONE fully explicit finite family of 4D Euclidean lattice theories Z_a[J] = int DU Dpsi DPhi exp(-S_a[U, psi, Phi] + J O) with S_a = S_Wilson[U] + psibar D_GW[U, Phi] psi + S_Phi[U, Phi] + S_seam/top, where U are the fundamental holonomies (TFPT fixes representation content, charge lattice, coupling relations, boundary conditions), D_GW is a Ginsparg-Wilson/overlap operator for the TFPT chiral representation content (the CHIRAL4D.NOMIRROR.01 operator), Phi is the ONLY allowed relevant scalar/link-mixing sector (EWSB downstream), and S_seam/top is the boundary/topological module transporting the seam data into the bulk -- FIRST at finite lattice spacing a, deliberately WITHOUT continuum claims. FINITE GATES (all machine-checkable at finite size; the promotion criteria for any candidate): (T1) exact gauge invariance; (T2) a positive transfer matrix (RP at finite a); (T3) the seam boundary restriction reproduces the TFPT seam data EXACTLY (not merely dimensions or group labels); (T4) anomaly bookkeeping including the global SU(2) anomaly; (T5) the index/generation count; (T6) the mirror spectrum separated; (T7) at least one NONVANISHING connected four-point function (not free / generalized-free). KILL TESTS: no local reflection-positive action with the correct seam restriction exists (master route dead); every candidate is generalized-free (T7 unreachable); a hidden freely tunable dimensionless parameter is required (the strong parameter-freeness claim is refuted); the uniform twistor flat direction (v973: the sector-0 Okubo admixture) shifts NORMALIZED observables rather than only the vacuum normalization of Z (a genuine undetermined modulus). RELATION: the continuum limit is the SEPARATE contract QFT4D.OS.RECON.01; the unitary dilation is DYN.UNITARY.DILATION.01; d = 4 is typed by DIMENSION.SELECTOR.4D.01 [C]; the generating-functional collapse of the four transfer bridges is FTRANSFER.GENERATING.01. NOTHING in the corpus closes any gate. EXECUTED UPDATE (2026-08-28, v989): T4 exact SM one-generation anomaly bookkeeping (drop-L mutant fires); T5/T6 2D overlap index=q and GW circle (N=8); T7 Z2-cube kappa_4 != 0 at beta=0.4 (free control 0). EUCLIDEAN T2 KILL (Z2 N_t-exact): overlap |det D_ov|^2 violation ABSENT at N_t=2, APPEARS at N_t=4 (det-only -0.249); Wilson control PSD everywhere -- pinned on overlap time nonlocality. HAMILTONIAN ROUTE CLEARS T2 by construction (Gauss-law Hilbert space, H=H^dag, T=e^{-aH} SPD; seam intertwiner; background-field mu4 split k=1,3 degenerate; determinantal-law Gaussianity test). NOTHING closes the 4D contract. Python-only / Wolfram mirror deferred. See also QFT4D.LATTICE.FUNDAMENTAL.01 (registered route/typing).
Recorded status: Open (research contract; T1-T7 harness + Euclidean T2 kill + Hamiltonian-route T2 clearance executed at toy level; no gate closed)
Dependencies, status detail and source
Canonical status: Open: one explicit finite 4D lattice family with seven finite gates T1-T7. EXECUTED (v989, toy level): T4 exact, T5/T6 2D mechanism, T7 toy, Euclidean T2 kill (N_t-exact), Hamiltonian route clears T2 by construction. No gate of the 4D contract closed; display marker stays Open.
Dependencies: DIMENSION.UPLIFT.FIREWALL.01; QFT4D.OS.RECON.01; CHIRAL4D.NOMIRROR.01; DYN.UNITARY.DILATION.01; DIMENSION.SELECTOR.4D.01; SEAM.BULK4D.RECON.01
Scripts: v989_lattice_gate_battery.py
Location: tfpt_research_contracts
Original CSV, line 757Original ledger status
SEAM.DETLINE.UNIFICATION.01
THE DETERMINANT-LINE UNIFICATION HYPOTHESIS [O] (registered 2026-08-27 from the external bird's-eye review; a precise research hypothesis, NOT a result). OBSERVATION: three separately open structures may be projections of ONE geometric object -- (1) the seam extension is described by a Q-system/simple current (SEAM.SIMPLECURRENT.GENERATOR.01), (2) the chiral fermion measure lives on a determinant line (CHIRAL4D.NOMIRROR.01 demand C1), (3) anomalies and CP phases appear as holonomies of that determinant line (the finite Quillen identity is already TWO-SIDED at finite level -- v974/ALPHA.QUILLEN.FACES.01: Berry integral == Poincare-Lelong divisor integral == +1 -- and the continuum Bismut-Freed identification is the named missing step of ALPHA.QUILLEN.EXACT.01). DEMAND (the compatibility theorem): Res_seam det D_4D ~= det D_seam as line bundles WITH connection, AND the holonomy of the bulk determinant line equals the discrete TFPT orientation phase (the classically invisible sgn J orientation bit exhibited at exploration level, round DCXCVII -- experiments only, not promoted). IF such a theorem exists, seam extension, chiral anomaly freedom, the generation index and the discrete CP orientation become different projections of the same object. KILL TESTS: the two determinant lines differ by a nontrivial local factor no counterterm removes; the bulk holonomy disagrees with the discrete orientation phase on a computable family. HONEST BOUNDARY: the continuum Quillen/Bismut-Freed identification is exactly the critical missing step; nothing in the corpus proves any part of the 4D side; the sgn J bit is exploration-level input, cited as MOTIVATION only. EXECUTED UPDATE (2026-08-28, v991): finite bulk-edge determinant-line correspondence on the v367 QWZ collar -- occupied-frame FHS Chern = +1 (curvature 2 pi * (+1)); seam holonomy winding = +1 (diff 6e-16); M=3 control zero both sides; conjugation mutant flips both signs coherently. FIREWALL: 2+1D/1D finite lattice shadow; continuum Bismut-Freed and the 4D chiral-measure unification stay [O]. Python-only / Wolfram mirror deferred. LATE EVENING (2026-08-30, v1014): finite restriction isomorphism Res_Sigma L_bulk isomorphic to L_Sigma verified on the QWZ collar (next finite check after v991); orientation orbit 2 -> 1 only after a U(1) anchor (A0). Continuum Bismut-Freed and the 4D unification stay [O].
Recorded status: Open [O] + finite bulk-edge shadow [E] (2+1D/1D QWZ; continuum Bismut-Freed stays Open)
Dependencies, status detail and source
Canonical status: Open: Res_seam det D_4D ~= det D_seam with connection + bulk holonomy == discrete orientation. [E] (v991): finite 2+1D/1D QWZ bulk-edge correspondence (C_bulk = W_seam = +1, M=3 control 0=0, conjugation mutant). Continuum Bismut-Freed stays [O]; no 4D unification. | LATE EVENING (2026-08-30 v1014): finite restriction isomorphism verified; orientation fixes conjugate branch; residual U(1) is the A0 anchor. Continuum stays [O].
Dependencies: ALPHA.QUILLEN.EXACT.01; ALPHA.QUILLEN.FACES.01; CHIRAL4D.NOMIRROR.01; SEAM.SIMPLECURRENT.GENERATOR.01; TFPT4D.LATTICE.ACTION.01
Scripts: v991_detline_bulk_edge.py, v1014_bridge_refinements.py
Location: tfpt_research_contracts
Original CSV, line 758Original ledger status
FTRANSFER.GENERATING.01
THE GENERATING FUNCTIONAL CONTRACT [O] (registered 2026-08-27 from the external bird's-eye review; the constructive successor named by the FR.TRANSFER.01 guard). The four continuous-transfer interfaces (F_pole: source masses -> pole, Koide v183; F_Boltzmann: CP source -> eta_B, v169/v184; F_relic: (f_a, m_a, theta_i, N_DW) -> Omega_a, v185; F_QCD: (alpha_s, b3, Lambda_QCD, lattice) -> m_p/m_e, v164) are currently four SEPARATE bridges. DEMAND: IF the 4D theory Z_a[J] of TFPT4D.LATTICE.ACTION.01 exists with a controlled continuum limit (QFT4D.OS.RECON.01), the four bridges MUST arise from ONE generating functional W[J] = log Z[J] -- lepton/quark masses as poles of two-point functions (zeros of Gamma^(2)), m_p/m_e from the baryon and electron correlator poles of the SAME theory, eta_B from the real-time Schwinger-Keldysh dynamics of the SAME theory (CP violation, B violation, nonequilibrium), the axion relic from the cosmological solution of the SAME normalized action. F_transfer is then not another 3x3 matrix; it is the full W[J]. BINDING (the guard stays in force): the four frontier observables remain [C]/[A]/[O] under FR.TRANSFER.01 UNTIL W[J] exists and each bridge is DERIVED from it -- this contract does NOT permit any marker upgrade; it names the single object whose existence would collapse the four transfer problems into computations within one theory. KILL TEST: the four bridges provably require mutually inconsistent normalizations of the same W[J]. EXECUTED UPDATE (2026-08-28, v990): Z6-centre 6Y table + the first executed W[J] at dim 96 -- dW/dJ = <O> (6e-11), Hessian = Kubo (1e-7), transduction shadow d2W/dJ dtheta: seam-coupled -9.3e-3, decoupled e^c control exactly 0. Finite-level mechanism, not the 4D generating functional. FR.TRANSFER.01 guard stays binding. Python-only / Wolfram mirror deferred.
Recorded status: Open (research contract; finite W[J] derivative identities + transduction shadow executed at 1+1D Z6; no upgrade permitted)
Dependencies, status detail and source
Canonical status: Open: one generating functional W[J] = log Z[J] from which all four F_transfer bridges derive. EXECUTED (v990): finite 1+1D Z6 W[J] derivative identities + transduction shadow. No upgrade permitted by this row.
Dependencies: FR.TRANSFER.01; TFPT4D.LATTICE.ACTION.01; QFT4D.OS.RECON.01
Scripts: v990_wj_transduction_mechanism.py
Location: tfpt_research_contracts
Original CSV, line 759Original ledger status
QFT4D.LATTICE.FUNDAMENTAL.01
THE LATTICE-FUNDAMENTAL READING (registered 2026-08-28 as a typed DECISION, not an [E] claim and not a marker move). DECISION: TFPT's PHYSICAL completeness criterion is the finite, local, unitary lattice quantum theory -- Hamiltonian route: Gauss-law Hilbert space, hermitian local H, T = e^{-aH} positive by construction, Lieb-Robinson cone -- while the exact continuum Osterwalder-Schrader limit (QFT4D.OS.RECON.01) is retyped as MATHEMATICAL REINFORCEMENT, a named strengthening program, no longer the physical bottleneck. Poincare invariance is an IR fixed-point property with experimentally bounded irrelevant Lorentz-violating operators. JUSTIFICATION ANCHORS (v989): today's Euclidean T2 kill of the overlap shortcut (exact; N_t-exact confirmation: violation ABSENT at N_t=2, APPEARS at N_t=4 det-only -0.249; Wilson control PSD everywhere -- pinned on overlap time nonlocality) and the Hamiltonian route clearing T2 by construction (interior Gauss exact, seam-sector intertwiner, H = H^dag). DISPLAY: nothing closes; QFT4D.OS.RECON.01 UNCHANGED as the math program; TFPT4D.LATTICE.ACTION.01 stays [O] as the constructive 4D lattice contract. AMENDMENT (2026-08-29, review wave 4): the reviewer's precision is accepted -- 'a single finite box is not a world'. The fundamental object is the QUASILOCAL CONSISTENT FAMILY {H_Lambda} with the thermodynamic-limit dynamics tau_t = lim e^{it H_Lambda} A e^{-it H_Lambda}. Binding phrasing: CONTINUUM (a -> 0) OPTIONAL (mathematical reinforcement); THERMODYNAMIC LIMIT (|Lambda| -> infinity) AND CONTROLLED IR UNIVERSALITY MANDATORY. Decision typing UNCHANGED; no [E] claim, no marker move. WAVE-7 (2026-08-30, v1008): 2+1D master-object scaffold-coherent -- combinatorial K=0 (plaquette exponents cancel), frozen-link q^2~4, unique-contractive selector |R'|<1, QWZ wall + DET4 mirror, Z6/Z4 four-block assembly. L=3 262144 / matter 129024 out of suite. Decision typing UNCHANGED; no [E] claim, no marker move. LATE EVENING (2026-08-30, v1013): MANDATORY-DYNAMICS LEG CLOSED at Hamiltonian-class level (theorem memorandum articles/2026-08-30/tfpt_thermodynamic_dynamics_en.tex/pdf). Uniform Lieb-Robinson bound J=12/5, R=2, z=4, kappa=16043/450, v_LR=32086 e/225 ~ 387.64; norm-convergent thermodynamic-limit dynamics tau_t; gauge-invariant quasilocal algebra A^G (Gauss caveat resolved via the invariant subalgebra); existence of ground and beta-KMS states. Numeric twin: measured v=2.0 << proved bound; convergence bound dominates nested differences at buffers 8/16/32. Remaining: phase uniqueness, limit gap, IR universality. Decision typing UNCHANGED; no [E] claim, no marker move.
Recorded status: Decision (registered route/typing; no [E] claim, no marker move; QFT4D.OS.RECON.01 unchanged as the math program)
Dependencies, status detail and source
Canonical status: Decision: physical completeness = finite local unitary lattice QFT (Hamiltonian route); continuum OS limit retyped as mathematical reinforcement. No [E] claim, no marker move; QFT4D.OS.RECON.01 unchanged as the math program. | 2026-08-29: quasilocal family {H_Lambda} is the fundamental object; continuum (a->0) optional; thermodynamic limit + controlled IR universality mandatory. Decision typing UNCHANGED. | WAVE-7 (2026-08-30, v1008): 2+1D scaffold-coherent (K=0 theorem, contractive-root selector, wall/mirror, Z6 assembly); no marker move. | AFTERNOON (2026-08-30 v1011): 3+1D minimal object viable; fully coupled link-wall dynamics demonstrated at minimal scale; Kronecker limitation removed. Decision typing UNCHANGED. | LATE EVENING (2026-08-30 v1013): mandatory-dynamics leg CLOSED at class level (LR + tau_t + A^G + state existence proved); remaining phase uniqueness, limit gap, IR universality. Decision typing UNCHANGED.
Dependencies: TFPT4D.LATTICE.ACTION.01; QFT4D.OS.RECON.01; CHIRAL4D.NOMIRROR.01; DYN.UNITARY.DILATION.01
Scripts: v989_lattice_gate_battery.py, v1008_master_assembly_scaffold.py, v1011_3p1d_ladder_battery.py, v1013_thermodynamic_dynamics.py
Location: tfpt_research_contracts;tfpt_4_frontier
Original CSV, line 760Original ledger status
GAUGE.DETLINE.FIXPOINT.01
THE GAUGE-COUPLING FIXPOINT CONTRACT [O] (registered 2026-08-28, review wave 3). DEMAND: all three gauge couplings (g1, g2, g3 / equivalently alpha, sin^2 theta_W, alpha_s) arise as stationary points of ONE nonabelian zeta-det / inflow functional on the determinant line -- the nonabelian upgrade of the U(1) face ALPHA.QUILLEN.EXACT.01. ACCEPTANCE: unique stationary points, positive Hessian, alpha_s(M_Z) without measured input, RG from the matching scale reproduces the data, mutants fail. HONEST: alpha_s(M_Z) is currently an EXTERNAL INPUT (the QCD matching / lattice input of F_QCD); this contract names the missing first-principles replacement, it does not claim the number is derived today. RELATION: generalizes ALPHA.QUILLEN.EXACT.01. KILL: a unique stationary point fails to exist; Hessian not positive; mutants (wrong level, wrong inflow multiplicity) still pass; RG from the functional fails to land on the observed couplings. EXECUTED UPDATE (2026-08-28, completeness wave, v996): the simplest-extension H0 of the U(1) alpha grammar to SU(2)/SU(3) is a STRUCTURAL KILL -- negative b2/b3 flip the stationary-root signs (SU(2) inverse -151.2, SU(3) -115.9); 64 conventions 0 hits; U(1) control 137.0359992168 survives all mutants. Exponential detline-curvature convergence to 2pi with rate 0.6936 ~ ln 2 is a numerical Bismut-Freed shadow. Naive grammar extension excluded [E]; genuinely nonabelian structure required -- typed. Contract stays [O]; alpha_s(M_Z) remains an external input. Python-only / Wolfram mirror deferred. WAVE-7 (2026-08-30, v1008): the 2+1D plaquette scaffold is now executed -- combinatorial K=0, frozen-link q^2 content law, unique-contractive selector |R'|<1 (L2 0.578 -> L3 0.936 harvest pins; L=3 Lanczos out of suite). The 1+1D no-plaquette hurdle is lifted at the scaffold level; thermodynamic 4D fixpoint stays [O]. Display unmoved Open.
Recorded status: Open (research contract; naive grammar extension excluded [E]; genuinely nonabelian structure required -- typed; alpha_s(M_Z) currently an external input)
Dependencies, status detail and source
Canonical status: Open [O] + H0 grammar kill [E] (v996): naive census-only extension of the U(1) alpha grammar to SU(2)/SU(3) excluded (sign kill, 64 conventions 0 hits); genuinely nonabelian Casimir/instanton structure required -- typed. Honest: alpha_s(M_Z) is currently an external input. ln-2 detline rate is a numerical Bismut-Freed shadow. WAVE-5 (2026-08-29, exploration probes gauge_stiffness_fixpoint/stepscaling; NOT a new module): mechanism executed at FIXED VOLUME BUT thermodynamic step-scaling DIVERGENT; typed hurdle >= 2+1D. WAVE-7 (2026-08-30, v1008): 2+1D scaffold-coherent (K=0, contractive selector, q^2 law); 4D fixpoint stays [O]. Display unmoved Open. | AFTERNOON (2026-08-30 v1011): BINDING constraint -- holonomy stiffness collapses in the confined phase; the matching point of the coupling functional must be defined in the deconfined/weak regime; charged channels enhance (~2.014x at weak g) but do not prevent collapse at minimal volume. Display stays [O].
Dependencies: ALPHA.QUILLEN.EXACT.01; SEAM.DETLINE.UNIFICATION.01; EM.FP.01
Scripts: v996_gauge_grammar_kill.py, v1008_master_assembly_scaffold.py, v1011_3p1d_ladder_battery.py
Location: tfpt_research_contracts
Original CSV, line 761Original ledger status
GRAV.SPIN2.EMERGENCE.01
THE SPIN-2 EMERGENCE CONTRACT [O] (registered 2026-08-28, review wave 3). DEMAND: from the SAME spectral determinant that carries the gauge fixpoints, a massless transversal spin-2 pole with two helicities, universal T_munu coupling, diffeomorphism Ward identities, and positive H / RP transfer. RELATION: the entanglement-equilibrium Einstein equation (v358/v359) stays a DOWNSTREAM / CONDITIONAL readout -- it presupposes a local QFT and can never be cited as producing one; GRAV.NONCIRCULAR.01 is BINDING (BW/CHM uses remain assumption-declared). KILL: a massive or longitudinal extra mode; non-universal coupling; failed diffeomorphism Ward; negative Hessian / RP violation on the spin-2 sector. EXECUTED UPDATE (2026-08-28, completeness wave, v997): exact Barnes-Rivers quadratic decomposition -- R+R^2 clean (one massless TT pole, two helicities, scalaron at M_scal exact); the LOCAL a4 Weyl^2 truncation necessarily carries an opposite-residue spin-2 ghost -- typed. The contract's content is pinned on the untruncated form factor a(Box)=e^{-Box/M^2}. Einstein eq stays downstream/conditional. Display stays [O]. Python-only / Wolfram mirror deferred. EXECUTED UPDATE (2026-08-29, review wave 4, v1000): quadratic Hamiltonian half executed -- positivity exact, 2 TT helicities at all 5852 nonzero momenta (N=6..12), omega = k - k^3/24 exact (lattice q_i = 2 sin(k_i/2)). Spectral-action Hessian identification, nonlinear Ward and universal coupling stay [O]. Display stays [O]. WAVE-6 (2026-08-30): GRAV.WEINBERG.WITTEN.01 registered as the BINDING firewall BEFORE any spin-2 marker move (microscopic Hamiltonian family must NOT possess a fundamental Lorentz-covariant local conserved T_munu; Lorentz, diffeomorphism Ward identities and the spin-2 mode must emerge in the SAME IR limit). Display stays [O]. EVENING (2026-08-30, v1012): interacting TT half-step executed -- conserved interaction-complete lattice stress ~1e-15, TT spectral positivity exact, sum rules ~1e-15, dominant positive-Z pole persists under phi^4 (gapped, as expected for massive generic matter); Z trend k1 suppressed 0.958 / k2 enhanced 1.033. Missing: TFPT content, k->0 volume scaling, Ward identities. Display stays [O]. EXECUTED UPDATE (2026-09-05, v1024): GRAV.PARENT.GAP.NO_GO.01 proves that a uniform positive full-parent gap excludes a massless spin-2 pole and that the exact TT projector has a direction-dependent k->0 limit, hence cannot be a strictly finite-range direct microscopic projector. A critical physical sequence with local tensor gauge constraints remains the viable open route. No TFPT stress operator, massless pole, Ward identity or universal coupling is constructed. Parent status stays Open [O]. ROUND-4 CURRENT: v1029 gives a local quadratic first-class constraint target with two z=1 nonzero-momentum modes. The full periodic target is unbounded below at k=0; an additional global zero-mode removal is indispensable. No common-parent embedding/nonlinear universal coupling; [O] unchanged.
Recorded status: Open (research contract; quadratic witnesses [E] + quadratic Hamiltonian half executed; content pinned on the untruncated form factor; Einstein eq stays a downstream/conditional readout) | Round-3 v1024 supplies finite gap/TT locality no-gos [E]; spin-2 emergence remains Open [O].
Dependencies, status detail and source
Canonical status: Open [O] + quadratic witnesses [E] (v997): R+R^2 clean (massless TT pole, two helicities, scalaron at M_scal exact); local a4 Weyl^2 truncation necessarily carries an opposite-residue spin-2 ghost -- typed. Content pinned on the untruncated form factor. Einstein equation stays downstream/conditional; GRAV.NONCIRCULAR.01 binding. | 2026-08-29 v1000: quadratic Hamiltonian half executed (positivity, 2 helicities at 5852 momenta, omega=k-k^3/24). Display stays [O]. | WAVE-6 (2026-08-30): GRAV.WEINBERG.WITTEN.01 is the binding firewall before any spin-2 marker move; display stays [O] | EVENING (2026-08-30 v1012): interacting TT half-step: conservation/positivity/sum-rules/Z-persistence executed; missing TFPT content, k->0 volume scaling, Ward identities. Display stays [O]. | ROUND3 2026-09-05: uniform full gap and direct finite-range TT are excluded mechanisms; critical gauge-constrained escape remains open. No graviton claim. | ROUND-4 CURRENT: v1029 gives a local quadratic first-class constraint target with two z=1 nonzero-momentum modes. The full periodic target is unbounded below at k=0; an additional global zero-mode removal is indispensable. No common-parent embedding/nonlinear universal coupling; [O] unchanged.
Dependencies: GRAV.NONCIRCULAR.01; GAUGE.DETLINE.FIXPOINT.01; QFT4D.OS.RECON.01; QG.G2.01
Scripts: v997_spin2_smg_witnesses.py, v1000_spin2_sk_witnesses.py, v1012_toe_gate_witnesses.py, v1024_parent_internal_boundaries.py
Location: tfpt_research_contracts
Original CSV, line 762Original ledger status
FTRANSFER.SK.RHO0.01
THE SCHWINGER-KELDYSH INITIAL-STATE CONTRACT [O] (registered 2026-08-28, review wave 3; mechanism executed 2026-08-29). DEMAND: cosmological transfers (F_relic, F_Boltzmann, and any nonequilibrium 4D readout) need the pair (S, rho_0), not W[J] alone -- the Euclidean-cap / KMS initial state. TYPED CANDIDATE: the theta_i = 3 pi/5 saddle S_init = -kappa cos(5 theta - 3 pi) as the selection. ARITHMETIC: stationary points theta = (3+k)pi/5, the mu4 orientation picks k = 0. RELATION: FTRANSFER.GENERATING.01 covers EQUILIBRIUM correlators of W[J] only; this contract is the SK completion. KILL: the (S, rho_0) pair is inconsistent with the W[J] of TFPT4D.LATTICE.ACTION.01; the 3pi/5 saddle is not selected by mu4 orientation (a different k is forced); the Euclidean cap fails KMS. EXECUTED UPDATE (2026-08-29, review wave 4, v1000): mechanism executed -- KMS/FDT ~1e-17 on the exact Bohr grid, rho_0-dependence contrast 3.550e-3 vs static 1e-16, saddle 5-fold degenerate with 3pi/5 unique in the chosen mu4 lift [C]. Display stays [O]; no cosmological solve. EXECUTED UPDATE (2026-08-30, review wave 7, v1009): finite uniqueness closed -- constrained minimizer uniquely the normalized KMS compression (Klein), Hessian spectrum [3.76, 12.6], center dim 1, compression identity ~8e-17. TYPED: V1000_CONSEQUENCE_MISMATCH (compression kills the SK response, RMS ~1.5e-31 vs frozen contrast 3.550e-3) -- the proposed constraint set is too restrictive; CENTER_FLATNESS_PREMISE_FALSE (Umegaki keeps uniqueness with a nontrivial centre). Canonical formula needs a weaker admissible set. Display stays [O]. EVENING (2026-08-30, v1012): 8-candidate table ALL unique. DOUBLE DIAGNOSIS: hard sectors kill the SK response (~1e-31); ALL response-alive sets return exactly rho_KMS even WITHOUT mu4 -- the entropic-proximity selection principle is VACUOUS at finite level. Verdict NO_SET_WORKS. BINDING: the canonical state requires a different principle (e.g. Euclidean-cap / orientation-branch). Display stays [O]. MONDAY MORNING (2026-08-31, v1016): R4 seam-modular cap is the unique finite-level non-entropic selector (D_tr(KMS)=0.1434, SK response alive 3.038e-3, mu4-invariant, 3pi/5 saddle preserved). R1 vacuous, R2 response-dead, orientation-free mutant loses saddles. Caveat: the difference lives in the neutral spectator factor -- finite proxy. Display stays [O]. EXECUTED UPDATE (2026-09-05, v1024): FTRANSFER.PARENT.Z5CAP.01 constructs a finite 12D internal cap with gap 0.197423715893, but the five-cycle is chosen, the cap breaks D4 (residual 1.094700) and it vanishes on a large complement, so it is not a global rho_0 selector. The Z5 Weyl divisibility result is scoped to the unprojected dimension; the Gauss-projected physical dimension is uncounted. The relative commutant is a prime/irreducibility obstruction, not a dynamic-coupling no-go. Parent status stays Open [O]. ROUND-4 CURRENT: v1028 constructs a symmetric gap-one internal cap, but D4 leaves a2D invariant-vector space and the vacuum-preserving extension selects no unique full-parent state. Order-five unitary is not a Weyl pair or derived selector; [O] unchanged.
Recorded status: Open (research contract; mechanism executed [N]/[C]; FTRANSFER.GENERATING.01 covers equilibrium only) | Round-3 v1024 gives a finite internal candidate and algebraic boundaries [E/N]; global rho_0 and SK uniqueness remain Open [O].
Dependencies, status detail and source
Canonical status: Open [O] + mechanism executed (v1000): KMS/FDT ~1e-17; rho_0 contrast 3.5e-3 vs static 1e-16; 3pi/5 unique in the mu4 lift [C]. WAVE-7 (2026-08-30, v1009): finite uniqueness closed [E-finite]; V1000_CONSEQUENCE_MISMATCH + CENTER_FLATNESS_PREMISE_FALSE typed; weaker admissible set needed. Display stays [O]. | EVENING (2026-08-30 v1012): double diagnosis -- hard sectors response-dead, KMS-affine sets selection-vacuous; canonical state requires a different principle (e.g. Euclidean-cap/orientation-branch). Display stays [O]. | MONDAY MORNING (2026-08-31 v1016): R4 first viable non-entropic selector (D_tr 0.143 + response alive + saddle preserved; finite-proxy caveat). Display stays [O]. | ROUND3 2026-09-05: 12D cap is arbitrary and D4-breaking, not global rho_0; divisibility/commutant scopes explicit. Display stays [O]. | ROUND-4 CURRENT: v1028 constructs a symmetric gap-one internal cap, but D4 leaves a2D invariant-vector space and the vacuum-preserving extension selects no unique full-parent state. Order-five unitary is not a Weyl pair or derived selector; [O] unchanged.
Dependencies: FTRANSFER.GENERATING.01; FR.TRANSFER.01; TFPT4D.LATTICE.ACTION.01
Scripts: v1000_spin2_sk_witnesses.py, v1009_rho0_minimizer.py, v1012_toe_gate_witnesses.py, v1016_state_gap_batteries.py, v1024_parent_internal_boundaries.py
Location: tfpt_research_contracts
Original CSV, line 763Original ledger status
TFPT.TOE.COMPLETE.01
THE MASTER TOE-COMPLETENESS CONTRACT [O] (registered 2026-08-29, review wave 4). Eight gates, all named; NOTHING claimed closed. T1 structure postulate -> P1/P2/compiler (AX.P1.01, AX.P2.01, TFPT.IRREDUCIBLE.01, DIMENSION.SELECTOR.4D.01). T2 seam = (E8)_1 proven (SEAM.EQUIV.01, SEAM.EQUIV.MMST.01, SEAM.EQUIV.TWISTOR.01, SEAM.SIMPLECURRENT.GENERATOR.01, SEAM.DETLINE.UNIFICATION.01, SEAM.STATE.RPMIXING.01). T3 quasilocal local unitary 3+1D Hamiltonian family (QFT4D.LATTICE.FUNDAMENTAL.01, TFPT4D.LATTICE.ACTION.01, DYN.UNITARY.DILATION.01, DYN.MARKOV.EMBED.01). T4 chiral SM with local measure + uniform mirror gap (CHIRAL4D.NOMIRROR.01). T5 IR Lorentz + confinement + clustering + nontrivial scattering (QFT4D.OS.RECON.01, SEAM.BULK4D.RECON.01). T6 all three gauge couplings + neutrino texture internally fixed (ALPHA.QUILLEN.EXACT.01, GAUGE.DETLINE.FIXPOINT.01, FLAV.NUSCALE.01-.06). T7 quantum massless spin-2 with universal coupling (GRAV.SPIN2.EMERGENCE.01, GRAV.NONCIRCULAR.01, GRAV.WEINBERG.WITTEN.01). T8 unique initial state + one SK functional generating all readouts (FTRANSFER.SK.RHO0.01, FTRANSFER.GENERATING.01, OBS.TRANSDUCTION.01, PRED.JOINTLIKELIHOOD.01). SEPARATION: TOE_Complete := AND(T1..T8); TOE_Validated := Complete AND independent holdouts passed. Dual rest: compiler Rest = v_geo oplus G_net oplus F_transfer sits beside Rest_TOE; this row is the named AND of the eight gates, not a closure. Children listed one-way here; children do not list this row back. EVENING (2026-08-30, v1012): gate-by-gate wave -- T5 four IR witnesses executed + the propagating-mode precondition (common-c needs dynamical gauge excitations); T7 interacting stress mechanism executed; T8 selection-principle vacuity typed (needs a non-entropic selection); T6/nu scaffold-level triple bound complete. Display stays [O]. LATE EVENING (2026-08-30, v1013/v1014): T3 mandatory-dynamics leg CLOSED at class level (LR + tau_t + A^G + state existence). Remaining axiom-core and continuum gaps now run through ONE externalized theorem (MMST/Quillen: TEL-B/ALG-EXH/P1 + character-blind det-response + Bismut-Freed/A0). Display stays [O]. MONDAY MORNING (2026-08-31, v1015): T1 structure-postulate route is now fully premise-supported at finite level (both W-bridge premises derived; axiom-core remainder 0 modulo externalized MMST). Display stays [O]. EXECUTED UPDATE (2026-09-05, v1022-v1025; no marker moves): T1 retains finite axiom-core/W-bridge support only; unconditional structure-postulate provenance and the dimension selector remain open. T2 closes C1, C2a and the interval-TV input and executes the analytic scalar C2b budget, while CF, DG and FE-GEN/ALG-EXH remain open and the old ALG2 Vandermonde implication is refuted. T3 remains Hamiltonian-class only. T4 gains a finite derivative-filtered block but no invariant mirror response gap, Weyl cone, DET realization, measure or continuum. T5 retains finite IR witnesses and the v1020 spectator obstruction but lacks prime completion, OS reconstruction, confinement and scattering. T6 gains a parent-internal intertwiner with projective full-Fock lift but no mass texture. T7 gains gap/TT no-gos but no graviton. T8 gains an arbitrary D4-breaking internal cap but no global rho_0. The historical one-external-theorem wording is restricted to the finite compiler/W-bridge lane. A single shared 3+1D parent satisfying T3-T8 is still missing. All T1-T8 gates and TOE remain Open [O]. ROUND-4 CURRENT (v1026-v1030): uniform relaxed TEL-B norm proved; canonical DET-CAR and signed z=1 wall only for fixed classical gauge fields with an explicitly changed additive parent; full Gauss site/cube dimensions3/0mod5; symmetric internal D4 cap noncanonical; local tensor target needs global zero-mode removal; ALG2 frame theorem conditional. All T1-T8 remain [O]; no shared complete3+1D parent.
Recorded status: Open (research contract; named AND of eight gates; no closure, no marker move) | Round-3 v1022-v1025 adds certified subgates and no-gos only; Round-4 v1026-v1030 adds narrow proved and conditional subresults only; all T1-T8 gates and TOE remain Open [O].
Dependencies, status detail and source
Canonical status: Open [O]: TOE_Complete := AND(T1..T8); TOE_Validated := Complete AND independent holdouts passed. Named AND of existing 4D/dilation/detline/SK/flavor/gravity/SK contracts; not a closure. Compiler Rest sits beside Rest_TOE. WAVE-5 (2026-08-29): T2 master scaling-limit theorem named SEAM.MMST.TYPEIII.CHARGED.01 [O] (children listed there, not back). Display unmoved. WAVE-6 (2026-08-30): T7 child GRAV.WEINBERG.WITTEN.01 [O] (Weinberg-Witten firewall before any spin-2 marker move). Display unmoved. | EVENING (2026-08-30 v1012): T5 four witnesses + propagating-mode precondition; T7 interacting stress mechanism; T8 selection-principle vacuity typed (needs a non-entropic selection); T6/nu scaffold-level triple bound complete. Display unmoved. | LATE EVENING (2026-08-30 v1013/v1014): T3 mandatory-dynamics leg closed at class level; remaining axiom-core and continuum gaps run through one externalized theorem (MMST/Quillen). Display unmoved. | MONDAY MORNING (2026-08-31 v1015): T1 structure-postulate route fully premise-supported at finite level. Display unmoved. | ROUND3 2026-09-05: current T1-T8 matrix recorded; no marker moves; shared 3+1D parent absent. The one-theorem statement is compiler/W-bridge scope only. | ROUND-4 CURRENT (v1026-v1030): uniform relaxed TEL-B norm proved; canonical DET-CAR and signed z=1 wall only for fixed classical gauge fields with an explicitly changed additive parent; full Gauss site/cube dimensions3/0mod5; symmetric internal D4 cap noncanonical; local tensor target needs global zero-mode removal; ALG2 frame theorem conditional. All T1-T8 remain [O]; no shared complete3+1D parent.
Dependencies: AX.P1.01; AX.P2.01; TFPT.IRREDUCIBLE.01; DIMENSION.SELECTOR.4D.01; SEAM.EQUIV.01; SEAM.EQUIV.MMST.01; SEAM.EQUIV.TWISTOR.01; SEAM.SIMPLECURRENT.GENERATOR.01; SEAM.DETLINE.UNIFICATION.01; SEAM.STATE.RPMIXING.01; QFT4D.LATTICE.FUNDAMENTAL.01; TFPT4D.LATTICE.ACTION.01; DYN.UNITARY.DILATION.01; DYN.MARKOV.EMBED.01; CHIRAL4D.NOMIRROR.01; QFT4D.OS.RECON.01; SEAM.BULK4D.RECON.01; ALPHA.QUILLEN.EXACT.01; GAUGE.DETLINE.FIXPOINT.01; FLAV.NUSCALE.01; FLAV.NUSCALE.04; FLAV.NUSCALE.03; FLAV.NUSCALE.02; FLAV.NUSCALE.05; FLAV.NUSCALE.06; GRAV.SPIN2.EMERGENCE.01; GRAV.NONCIRCULAR.01; GRAV.WEINBERG.WITTEN.01; FTRANSFER.SK.RHO0.01; FTRANSFER.GENERATING.01; OBS.TRANSDUCTION.01; PRED.JOINTLIKELIHOOD.01
Scripts: v1012_toe_gate_witnesses.py, v1013_thermodynamic_dynamics.py, v1014_bridge_refinements.py, v1015_axiom_core_closure.py, v1022_telb_round3_certificates.py, v1023_derivative_filtered_wall.py, v1024_parent_internal_boundaries.py, v1025_telb_c1_c2a_certificates.py, v1026_telb_round4_closure.py, v1027_signed_det_car_wall.py, v1028_gauss_d4_cap.py, v1029_local_tensor_constraints.py, v1030_alg2_sector_frame.py
Location: tfpt_research_contracts;tfpt_4_frontier;introduction
Original CSV, line 764Original ledger status
FLAV.NUSCALE.06
THE PENTAGON-CLASS MISALIGNMENT CANDIDATE (registered 2026-08-29, review wave 4, v1001). Candidate [C]/[N]; mechanism = the Q_+-to-flavor operator [O]; NO closure; FLAV.NUSCALE.05 unmoved. [E] U_e = I inventory theorem: no charged-lepton mass matrix in the compiler; companion algebra G-self-adjoint with eigenvalues (16/7, 4/3, 7/6). [E] misalignment U = U_v9 R13(theta, phi) solves the 13/23 pair analytically (held-out theta12 inside 1 sigma of NuFIT). [N] pentagon double hit: phi = 288 deg = 4(2pi/5) frozen => all three measured angles <= 0.56 sigma (honest max pull 0.557) at theta = 2pi/35; that theta is the unique LEE survivor of nine pre-declared candidates (LEE expectation 2.7%). [N] v3 chain SHA-16 a4c28732fa687620: Sigma = 0.0599 eV, m_beta = 9.0 meV, m_bb in [1.5, 3.8] meV, delta_CP = 287.66 deg. [N] v270-theta23 tension 1.85 sigma TYPED (TFPT-target refit pull; the pentagon phase does not recover the assembled v270 angle set). [X] census nulls: matrix 0/1607, ratio grammar null, circularity kills -- frozen 3x3 inventory insufficient. Kills: DESI floor on Sigma, DUNE delta_CP discriminates 287.7 vs 240, JUNO. y2 is DATA_CALIBRATED; no seesaw closure.
Recorded status: Candidate [C]/[N] + mechanism [O] (pentagon-class misalignment; no seesaw closure; FLAV.NUSCALE.05 unmoved)
Dependencies, status detail and source
Canonical status: [C]/[N] pentagon-class misalignment candidate (v1001): phi=288 deg, theta=2pi/35, LEE 2.7%, v3 SHA a4c28732fa687620, Sigma=0.0599 eV, m_beta=9.0 meV, m_bb [1.5,3.8] meV, delta_CP=287.66 deg; v270-theta23 tension 1.85 sigma TYPED; census 0/1607. Mechanism Q_+-to-flavor [O]. No closure. WAVE-5 (2026-08-29, v1003): both structural nulls (D4-even Schur; scale cancellation 1.885e-4) are binding on FLAV.NU.TEXTURE.MECHANISM.01 [O]. Pentagon-class candidate unmoved; no seesaw closure.
Dependencies: FLAV.NUSCALE.05; FLAV.NUSCALE.02; FLAV.NUSCALE.01; AX.P2.01
Scripts: v1001_nu_pentagon_chain.py, v1003_nu_structural_nulls.py
Location: tfpt_2_standard_model;tfpt_research_contracts;tfpt_4_frontier
Original CSV, line 765Original ledger status
CHIRAL4D.MIRROR.DET16.01
THE DET16 RANK-ONE MIRROR PROJECTOR CANDIDATE (registered 2026-08-29, review wave 5, v1002). Candidate [C]: exact finite-cluster gapping mechanism on the full 2^16 chiral Spin(10) Fock space. [E-finite] Omega^dag Omega = P_16, Omega Omega^dag = P_0, defect 0; P_phi hermitian idempotent (2.8e-18), rank 1; h_mir spectrum {0^1, 1^65535}, gap exactly 1; all 45 so(10) Fock commutators = 0 (det rho_16 = 1); parity commutator 0; |0> and |F> singlets. [N] hopping stability on the 4-mode analogue: gap 0.90 (2 clusters) / 0.86 (3 clusters) at t = 0.2; spectators untouched. OPEN: dynamical gauge fields, domain-wall geometry, 4D volume theorem. The number-preserving Casimir projector route is a SEPARATE kill recorded on CHIRAL4D.NOMIRROR.01 (not this candidate). Display Candidate [C]; no upgrade of NOMIRROR. EXECUTED UPDATE (2026-08-30, review wave 7, v1007): T1/T2 proved; T3 Michalakis-Zwolak cited-verified (LTQO, t*>0, gap>=1/2). [N] counting line n=2,3; n=2 closing scan through t=4 (no closing); dynamical Z2/Z4 uniquely gapped (full-probe min 0.728854416 pinned; compressed grid coarser). SW 1-alpha t^2 + O(t^4); c_geo/L bounded. 1/192 remains the uncertified counting threshold (ordinary hopping fails the relative-form block hypothesis). BDL supplies no volume-uniform gap remainder (boxed). Display stays Candidate [C]; NOMIRROR unmoved. MONDAY MORNING (2026-08-31, v1016): Froehlich-Pizzo hypotheses cited-verified for Z2/Z4 DET open chains -- volume-uniform spectral gap >= Delta/2 in the parametric window tau_FP (a=0.0233, a/16=0.00146). Dynamical-link leg closed at that finite-group level. Remaining: rotor links, wall mixing, 3+1D placement. Display stays Candidate [C]. EXECUTED UPDATE (2026-09-05, v1023): the separate derivative-filtered wall block preserves ker(D_GW) in a finite quasi-free singular-value model, but it does not realize the DET16/DET32 interaction. The bare mirror response is not gapped and the low branch is quadratic. DET16 remains Candidate [C]; NOMIRROR/T4 remain Open [O].
Recorded status: Candidate [C] (exact finite-cluster gapping; open: dynamical gauge fields, domain-wall geometry, 4D volume theorem) | Round-3 v1023 is a separate finite block lemma and does not upgrade DET16.
Dependencies, status detail and source
Canonical status: Candidate [C] (v1002/v1007): T1/T2 proved; T3 MZ cited-verified (t*>0, gap>=1/2); dynamical [N] + boxed BDL/1/192. Open: compact-group dynamical links, domain-wall geometry, 4D volume theorem. No marker upgrade of NOMIRROR. WAVE-7 2026-08-30. | MONDAY MORNING (2026-08-31 v1016): DFP volume-uniform gap cited-verified for finite-group open chains; dynamical-link leg closed at that level; remaining rotor/wall/3+1D. Display stays [C]. | ROUND3 2026-09-05: derivative-filtered witness is not a DET16/DET32 realization and supplies no 4D theorem. Candidate stays [C].
Dependencies: CHIRAL4D.NOMIRROR.01; DIMENSION.UPLIFT.FIREWALL.01
Scripts: v1002_spin10_mirror_projector.py, v1007_det16_stability_battery.py, v1016_state_gap_batteries.py, v1023_derivative_filtered_wall.py
Location: tfpt_research_contracts;tfpt_4_frontier
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