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Original claim records.

The original technical record remains available here. For explanations, reviewed conclusions and the history of research questions, start with the knowledge atlas.

Research snapshot 2026-11-02 · 783 active ledger claims · 710 scientific findings · 707 registered scripts. These are different inventories, not counts of independent physical confirmations.

What does this inventory cover?

Every one of the 783 active ledger IDs is included. All 788 ledger rows, including superseded rows, remain in the download. The reviewed research corpus contains 711 findings; 1 administrative record is excluded from public scientific content, with the omission recorded in the coverage file.

The scientific findings include 519 established scoped results, 63 conditional results and 128 scoped exclusions. These labels describe the recorded finding. They do not upgrade its parent physical goal or overwrite the original ledger.

Sources were matched to their recorded hashes and line ranges at this snapshot. Bounded text excerpts make sources available even when a source is not in the earlier public release. Any omitted administrative lines are explicitly marked. This is source coverage, not a new execution of Python, Lean or Wolfram proofs.

Atlas revision 2c1b559b738e5740ecfad8e6 · snapshot SHA256 68c2fe33ce86d45a99a8c21b1e731e40749d0accb3ae69be53d198cd7ebcb48e

36 matching records · page 2 of 2

Original ledger status

FR.SUITE.01

FR.SUITE.01

THE F_transfer SOLVER SUITE (2026-06-22): the four transfer readouts as ONE runnable harness, each a gapped relaxation to a unique attractor, with values + uncertainties + honest typing (productises FR.DYNAMICS.01/v303). [E] F_pole (Koide): Moebius contraction to Q*=2/3 with multiplier (2/3)^6 = the seam-clock subleading eigenvalue, unique attractor at the SEAM rate. [C] F_Boltzmann (eta_B): washout contraction to the balance 6.1e-11, monotone (H-theorem), external thermal rate. [C] F_relic (axion): the comoving number N=E/omega is the adiabatic invariant, the relic freezes (seed theta_i=3pi/5), cosmological rate. [I] F_QCD (m_p/m_e): 1-loop RG with carrier b0=7 flows to the Gaussian UV fixed point, Lambda_QCD generated; standard RG. [N] F_RareKaon (bridge): BR(K+)=9.45e-11 on NA62 2016-2024 (v202). [O] SHARED SHAPE: all 5 are gapped relaxations to a unique attractor; only F_pole has the seam rate (2/3)^6, the other 4 share the SHAPE with external rates honestly fenced (v187/v303) -- the suite makes the frontier measurable WITHOUT claiming the external rates.

Recorded status: Numerical/synthesis [E]/[C]/[I] (F_transfer solver suite)

Dependencies, status detail and source

Canonical status: [E] the F_pole seam-rate contraction; [C] the Boltzmann/relic relaxations (shape, external rates); [I] the QCD RG flow; [N] the rare-kaon bridge. A productisation/solver harness of v303, NOT a new claim; the external rates stay honestly fenced.

Dependencies: FR.DYNAMICS.01; v303; v82; v184; v185; v202

Scripts: v326_ftransfer_suite.py

Location: origin_theory

Original CSV, line 425

Original ledger status

FIRSTPRINCIPLES.BOUNDARY.01

FIRSTPRINCIPLES.BOUNDARY.01

THE HONEST FIRST-PRINCIPLES BOUNDARY, mapped precisely (2026-06-22): answers (a) can M_Planck/v_geo be computed from first principles? and (b) can F_transfer (Koide, m_p/m_e, eta_B, axion) be made a first-principles compiler output? BOTH NO -- with the exact reason for each residual, classified into FOUR honest kinds. [E] v_geo/M_Planck FORBIDDEN BY THEOREM (No-Unit, v153): a mass is dimension 1 while every TFPT datum is dimension 0, so no dimensionless map outputs a scale; M_Planck is NOT a pure number, but is OVER-DETERMINED (gravity = dark energy to 0.11%, v274); every dimensionless RATIO is derived, only the one unit is not. [E] m_p/m_e structure in place (v262): the carrier outputs b3=-(11-2 n_f/3)=-7 driving the QCD run + the closed electron lepton ladder; exactly 2 inputs stay external: alpha_s(M_Z) and the lattice C_p=m_p/Lambda3~2.83. [X] alpha_s(M_Z) external BECAUSE OF A TENSION: TFPT content = SM (no new states) and the SM does NOT unify -- the GUT-normalised 1-loop couplings at 2e16 GeV spread by ~8.8 (no common point, v246) -- so a unified coupling is NOT predicted and alpha_s is not derivable; the route that would give it is a falsifiable tension. [N] C_p parameter-free but lattice-only (m_p/Lambda_QCD~2.83=O(1), nonperturbative hadronization, the discrete<->continuous handoff v35). [C] eta_B/axion = cosmological initial conditions (M_1/washout v169/v184/v212; misalignment v211); Koide Q=2/3 structural [E], only pole<->running [C]. [A] FOUR honest kinds: forbidden-by-theorem (the unit, over-determined) / external-parameter-free (lattice C_p) / external-tensioned (alpha_s via failed unification) / cosmological initial conditions. A boundary audit; fabricates nothing, closes nothing. [2026-08-03 LIII: the two thermal-time routes for INTERNALIZING the F_transfer clocks are now machine-killed -- v723 (FTRANSFER.STT.01, STT-KILLED: the QCD 1-loop clock is parabolic and not diagonalizable, no constant-rescaled modular flow reaches it; the pole/Boltzmann pair confirmed internal per v425, multiplier (2/3)^6 exact) and v724 (FTRANSFER.COCYCLE.01, T3B-DEAD: conditioned modular flows of one internal mother state give loxodromic/complex classes, not the frozen v578/v632 solver classes; cocycle composition exact, one KMS scale). The external clock contract STANDS and sharpens to the typed anchor census {one unit (v_geo-class), one angle theta_i, one lattice O(1) C_p}: T3's clock wall == T1's unit wall, counted once (v723 P4). No status move.]

Recorded status: Boundary audit [E]/[X]/[C] (what is derived / external / tensioned / forbidden)

Dependencies, status detail and source

Canonical status: [E] the No-Unit dimensional argument + b3; [X] the non-unification spread; [N] the lattice O(1); [C] the cosmological scenarios; [A] the four-way classification. A boundary audit (like v35/v167/v275); does NOT close anything, fabricates nothing.

Dependencies: v153; v274; v262; v246; v35; ANCHOR.VGEO.01; FR.MPME.02

Scripts: v339_firstprinciples_boundary.py

Location: tfpt_4_frontier

Original CSV, line 441

Original ledger status

CORRECTIONS.BUDGET.01

CORRECTIONS.BUDGET.01

The gap correction (v387) is a TYPED budget, NOT a uniform band on every prediction (2026-06-24): the (lambda_2/lambda_1)^n size is a property of the distance from a gapped operator's leading eigenvector, so it is only defined where a subleading lambda_2 exists. The prediction surface splits into FOUR correction classes (the verdict already implied by v303: of the four F_transfer instances only F_pole carries the seam rate). [E] SEAM-GAPPED class: Koide (F_pole, v303), horizon recovery (v221) and the QG-decoupling bound (capped by chi=1/(1-(2/3)^6)=729/665, v337) carry lambda_2=(2/3)^6=64/729; the discrete compiler decays at the golden (phi+2)/4 (carrier-5 facet, v312) -- the two number-field facets (v314/v383/v387). [E] KOIDE FIRST CORRECTION (door #2): F_pole is the ONE seam-gapped prediction, per-step Moebius rate (2/3)^6~0.0878 (v371), while the source quotient Q_src=0.66446 sits 0.33% below Q*=2/3 -- the rate is the suppression SCALE of the sub-leading texture, NOT the residual itself (an honest distinction). [E] EXACT-IDENTITY class: det R=8, N_Phi=1, theta_eff=0 are exact, sin^2 theta13=phi0 e^{-5/6} a closed form -- NO lambda_2 => correction 0 STRUCTURALLY (a (2/3)^6 band would contradict the [E]-identity status). [E] EXTERNAL-RATE class: eta_B (thermal washout), axion (cosmological freeze), m_p/m_e (RG) share only the gapped SHAPE with external rates, firewalled (v187). [E] FIXED-POINT class: the sub-leading texture is already explicit in the closed form (sin^2 theta12: eps=(3/4)phi0=c3+36 c3^4 EXACTLY). [C] THE BUDGET: a single uniform band on every prediction is WRONG; the size is keyed to the MECHANISM class. A typing of v387 (as v384 is of v383), no new number.

Recorded status: Typed correction budget [E]/[C] (the gap correction is keyed to the mechanism class, not a uniform band; seam-gapped=(2/3)^6/golden, exact-identity=0, external-rate=external, fixed-point=explicit texture)

Later scope correction: the DtN form estimate alone does not prove the transfer gap.

Dependencies, status detail and source

Canonical status: [E] the four-class classification + the seam (2/3)^6 and golden (phi+2)/4 rates + the exact-identity zero-correction facts (det R=8, N_Phi=1, theta_eff=0) + the explicit theta12 texture (eps=c3+36 c3^4); [C] the typed-correction-budget reading. A typing of v387 (as v384 is of v383); reuses established eigenvalues and closed forms, introduces no new number.

Dependencies: v303; v371; v383; v387; v314; v337; v221; v312; v187

Scripts: v388_corrections_budget.py

Location: origin_theory

Original CSV, line 451

Original ledger status

METROLOGY.CLOSURE.01

METROLOGY.CLOSURE.01

THE FINAL INPUT SET {a, pi, v_geo} CERTIFIED (2026-06-24, Paper D / the scale-modulus closure): 0 dimensionless dials + 1 dimensionful unit, consolidating v153 (No-Unit), v274 (over-determined anchor), v364 (gravity adds no unit), v384 (v_geo is theorem-forbidden, type B). Does NOT 'solve' v_geo (a dimensionless compiler provably cannot output a scale); it CERTIFIES the single declared unit. [E] INPUT SET: a=(1,1,2) -> elem-sym (e1,e2,e3)=(4,5,2)=(|mu4|,g_car,|Z2|), c3=1/(2 e1 pi)=1/(8 pi); the one dimensionful input is v_geo, NO dimensionless dial. [E] DIMENSIONAL BOOKKEEPING (No-Unit, v153): mass~v_geo^1, 1/G~v_geo^2, Lambda~v_geo^4, U_point~v_geo^1, m/mu=e^{3/4}~v_geo^0; under L->lambda L a dimensionless datum is invariant while v_geo^d scales as lambda^{-d}, so a scale cannot be a function of scale-invariants -- v_geo is a forced INPUT. [E] GRAVITY ADDS NO UNIT (v364): 1/c3=8pi and (8pi)^2*48 c3^4=3/(4pi^2) are dimensionless. [N] OVER-DETERMINATION (v274): gravity route (8 pi G)^{-1/2}=2.4353e18 GeV vs cosmology route 2.438e18 GeV agree to 0.11% (conditional on the Lambda-branch). [O] v_geo THEOREM-FORBIDDEN: TOE_strict = TOE_dimensionless + [v_geo], not 'derive the metre' (v384 type B). [2026-08-03 LIII: sharpened to torsor language by v725 (VGEO.TORSOR.01): the input set {a, pi, v_geo} is the calibration point of a rank-1 R+ scale torsor; the bookkeeping table of this row is the machine-verified export table there; no status move.]

Recorded status: Metrology closure [E]/[N]/[O] (Paper D: the final input set {a,pi,v_geo} -- 0 dimensionless dials + 1 unit; dimensional bookkeeping over all dimensionful observables; G-vs-Lambda over-determination 0.11%; v_geo theorem-forbidden). A metrology end-cap, no new derivation

Dependencies, status detail and source

Canonical status: [E] the input-set reduction to {a,pi,v_geo} + the dimensional bookkeeping (mass/1G/Lambda/U_point/(m/mu)=number x v_geo^{1,2,4,1,0}) + gravity-adds-no-unit; [N] the 0.11% G-vs-Lambda over-determination (conditional, v274); [O] the theorem-forbidden typing (TOE_strict = TOE_dimensionless + [v_geo]). A metrology end-cap (consolidates v153/v274/v364/v384); no new derivation, no new number.

Dependencies: RESIDUAL.CERTIFICATION.01; ANCHOR.VGEO.01; v153; v274; v364; v384

Scripts: v401_metrology_closure.py

Location: tfpt_research_contracts

Original CSV, line 471

Original ledger status

QGAMB.NODEP.01

QGAMB.NODEP.01

The No-Ambient-Dependency certificate (2026-06-25): no frozen TFPT readout is COMPUTED from the ambient QG measure QG.AMB.01 -- sharpening the v369/v384 prose redundancy ('QG.AMB.01 is a [C] redundancy, not dynamics') into a machine-checked DAG+script fact, told HONESTLY. [E] GAP-DECOUPLING MARGIN: 2 dim(E8) c3^2 = 31/(4 pi^2) (31=2^g_car-1) ~ 0.785, Delta = 6 ln(3/2) ~ 2.433, so Delta_eff ~ 1.648 > 0 (v76/v337); chi = 1/(1-(2/3)^6) = 729/665 finite (negative control: gap->0 => chi->inf, the ambient re-enters). [E] CERTIFICATION SINK: every claim that lists QG.AMB.01 as a dependency is a gravity-gate/QG-certification row (GATE.METRIC.01, GRAVITY.COMPLETE.01, the QGAMB.* cluster, SEAM.S3.RP.01, ...), NONE a frozen physical prediction -- QG.AMB.01 has no predictive direct dependent. [E] NOT A VALUE SOURCE: QG.AMB.01 has no producing script (ledger script='-'); every frozen prediction of record is computed by a compiler script (alpha^-1<-v3, sin^2 th12<-v9, sin^2 th13<-v268, cosmology<-v7), none of which is an ambient-measure script (v76/v330/v332/v334/v335) -- so no readout VALUE is produced by the ambient measure. [E] ARCHITECTURAL-ONLY LINK (honest): of the frozen readouts only theta13 transitively references QG.AMB.01, and the path runs through the 4D-QFT CONTRACT spine (PS.DIRAC.02 -> CONTRACT.QFT4D.01 -> QG.G2.01 -> GATE.METRIC.01) -- the readout lives INSIDE the unified spectral-action construction, a coherence edge, not a numerical input (its value sin^2 th13 = phi0 e^{-5/6}, v268, takes no ambient-measure input); alpha, theta12 and all of cosmology have NO route to QG.AMB.01 at all. [C] VERDICT: QG.AMB.01 is a gap-decoupled certification object -- no readout VALUE is computed from it, its only predictive link is the architectural 4D-QFT contract, and the gap margin (1.648>0) suppresses its back-reaction -- v369 as a DAG/script fact. HONEST: this does NOT prove SEAM.EQUIV.01 (the readouts depend on the seam being the (E8)_1 net, the one open keystone); QG.AMB.01 specifically is dead.

Recorded status: No-Ambient-Dependency [E]/[C]: no frozen readout is computed from QG.AMB.01 -- it is a certification SINK (every dependent is a gravity-gate/QG row, no prediction), not a value source (script '-'; predictions computed by v3/v7/v9/v268, never an ambient-measure script), and its only predictive link is theta13's architectural 4D-QFT contract edge (coherence, not numerical); the gap margin Delta_eff~1.648>0 decouples its back-reaction (v337). v369 prose -> machine-checked DAG/script fact [E]; verdict [C], does NOT prove SEAM.EQUIV.01

Later scope correction: the DtN form estimate alone does not prove the transfer gap.

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: QG.AMB.01; DECOUPLING.THEOREM.01; SEAM.EQUIV.01; v337; v369; v384

Scripts: v423_no_ambient_dependency.py

Location: tfpt_4

Original CSV, line 490

Original ledger status

DYN.TRANSFER.UNIVERSAL.01

DYN.TRANSFER.UNIVERSAL.01

The single-flow reduction of F_transfer (2026-06-25): the four frontier transfers (F_pole, F_Boltzmann, F_relic, F_QCD) do NOT each need a separate external solver -- their DYNAMICS is the ONE native flow of the theory (the seam modular/recovery semigroup, v238/v240, gap 6 ln(3/2)) restricted to each sector. Native flow + EXTERNAL ANCHORS, firewall-clean (the observable stays [C] until the anchor is supplied). [E] THE ONE NATIVE FLOW: recovery spec {1,(2/3)^6,(1/3)^6}, H_OS=-log T gap 6 ln(3/2)>0, e^{-Delta}=(2/3)^6 exact; an explicit 2-state column-stochastic T gives L=log T a Markov generator (off-diag>=0, columns sum 0). [E] F_pole IS THIS FLOW (lepton sector): the v99 Koide generator dq/dt=(Delta/N_fam)(q-2)(q-5) linearised at the attractor q=2 has rate g'(2)=-Delta, so the time-1 contraction is e^{-Delta}=(2/3)^6 (the recovery eigenvalue); q=5 unstable (g'(5)=+Delta). [E] F_Boltzmann washout = the native contraction (2/3)^6, CP phase delta_PMNS=4pi/3 native (v320). [E] F_QCD rate native: b3=-7 (v159), b0(n_f=6)=11-2*6/3=7=-b3, so the dimensional-transmutation exponent -2pi/(b0 alpha_s) is native (QCD.LAMBDA.01). [C] VERDICT: the transfer DYNAMICS is one native object (v238 recovery semigroup, v383 universal) -- native gap + native rates; only the ANCHORS (v_geo, lattice C_p, seesaw M_R) stay external. F_relic's free input is a cosmological initial condition theta_i (not theory-derivable; best case mu4-symmetry-reduced) -- the one genuine wall. A single-flow REDUCTION, NOT internalisation: no new premise, the firewall holds. Extends v383 (static universal gap) to a dynamic universal flow.

Recorded status: Single-flow reduction [E]/[C]: the four F_transfer flows are the ONE v238 recovery semigroup restricted to sectors (native gap 6 ln(3/2), native rates e^{-Delta}=(2/3)^6, b3=-7); F_pole=v99 generator at q=2, F_Boltzmann washout=that contraction (CP 4pi/3 native), F_QCD rate native -- only the ANCHORS (v_geo/C_p/M_R) external; F_relic's cosmological IC theta_i the one wall. Reduction not internalisation, firewall-clean; extends v383 static->dynamic

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: CONTRACT.F.01; DYN.SEMIGROUP.01; DYNAMICS.UNIVERSAL.01; QCD.LAMBDA.01; v238; v240; v99; v320; v159; v383

Scripts: v425_dyn_transfer_universal.py

Location: tfpt_research_contracts

Original CSV, line 492

Original ledger status

FLAV.NUSCALE.02

FLAV.NUSCALE.02

ABSOLUTE NEUTRINO SCALE UNDER THE CARRIER YUKAWA NORMALISATION (2026-07-14, bird's-eye round; CANDIDATE class, genre v467/v468): FLAV.NUSCALE.01 typed the absolute scale as one open UV input with the two-parameter trade-off (y_nu, M_R) and recorded the y_nu = 1 inversion at the structureless log_c3(Mbar/M_R) ~ 2.6. But y_nu = 1 is not the carrier normalisation: one SO(10) 16 per family + the MINIMAL Yukawa sector (10_H / PS (1,2,2), the v245/v248/v249 structure) forces y_nu = y_t at the matching scale [P named premise]. With explicit 1-loop RG (gauge/y_t/lambda up; ADKLR Weinberg-operator kappa down, hep-ph/0108005): [N] the trade-off COLLAPSES to M_R alone and the observed m_3 = 0.0503 eV demands M_R = 9.3e13 GeV -- INSIDE the compiler's own PS window [4.2e13, 2.4e15] (v249), at log_c3(Mbar/M_R) = 3.15. [X] INTEGER-RUNG HONESTY GATE: the rung M_R = c3^3 Mbar = 1.53e14 GeV predicts m_3 = 0.030 eV -- 40% LOW at 1-loop (kappa run-down factor 0.794): NEAR the rung (3.15 vs 3), NOT ON -- the ladder pin is DECLINED per v354/v355; the decision computation is NAMED (2-loop SM + explicit PS threshold matching). [N] FALSIFIABLE BAND: over the PS window m_3 spans [0.002, 0.115] eV bracketing the observation; the M_PS end (Sigma ~ 0.124 eV) is already in tension with DESI ~0.072 -- cosmology cuts the window from below; the NO floor Sigma = m_2 + m_3 = 0.059 eV stays the falsifiable edge (v272). [C]/[O] candidate class: the premise is the minimal Yukawa sector [P]; the absolute scale stays formally open until the decision computation lands; the frozen record (v84/REG.FREEZE.01) is untouched. NET: the absolute neutrino scale is now a ONE-parameter statement bracketed by the compiler's own UV window, not a two-parameter trade-off. UPDATE 2026-07-14 (v482/FLAV.NUSCALE.03): the named decision computation is EXECUTED -- the integer rung is EXCLUDED as an unstructured pin (bracketed envelopes reach x1.165 vs required x1.670); the 5/3-proximate structure escape is recorded and declined; the one-parameter window candidate stands.

Recorded status: Candidate [P]/[N]/[X]/[C]/[O] (carrier normalisation collapses the trade-off; window bracketing; integer rung declined at 1-loop; decision computation named)

Dependencies, status detail and source

Canonical status: Open [O] candidate (parameter-reduced): y_nu = y_t [P] collapses (y_nu, M_R) to M_R alone; required M_R inside the PS window at rung 3.15; c3^3 rung declined at 1-loop (m_3 40% low); NO floor Sigma m_nu = 0.059 eV falsifiable edge

Dependencies: FLAV.NUSCALE.01; PS.RGTEST.01; PS.ALGEBRA.01; QFT4D.MATTER.01; FLAV.PMNS.CLOSE.01; v245; v248; v249; v272; v273

Scripts: v481_seesaw_carrier_ladder.py

Location: tfpt_4

Original CSV, line 542

Original ledger status

FLAV.NUSCALE.05

FLAV.NUSCALE.05

THE SCALARON-TRACE RUNG CANDIDATE (registered 2026-08-28, external master-object review wave 2): M_R = N_fam * M_scal = 3 c3^{7/2} Mbar = 9.180e13 GeV -- a STRUCTURED point inside the v481 PS window, -1.8% from the v481-required 9.346e13 GeV under the same frozen 1-loop inversion and the named premise y_nu = y_t [P] (the review text said about 1%; the honest value is 1.8); m_3 at the candidate = 0.0512 eV (+1.9%, inside the >50% v482 RG envelope), ~20x sharper than the declined integer rung c3^3 Mbar. EXACT ladder position: 3 c3^{7/2} = (3 sqrt c3) c3^3, 3 sqrt(c3) = 3/sqrt(8 pi) = 0.598413 -- 0.26% from the 3/5 of the v482/v488 story; ADJACENCY TYPED: v488 killed 3/5 as an SO(10)/PS CLEBSCH, while the scalaron-trace reading is a DIFFERENT mechanism class -- HONEST RETYPE (2026-08-28, review wave 3): the trace argument Tr_A3 I = 3 is loose (Spec(I) = {1,1,1}, trace 3 does not make 3 an eigenvalue); the operator reading is the Q_+ eigenvalue route Spec{1,2,3} (v10/v50/v69), with the mixed insertion texture typed DATA_CONSTRAINS_TEXTURE in the nu-scalaron v2 project -- mechanism stays [O], not derived. The same M_scal already carries f_a = M_scal/128 (v185) and the inflation scale (v253): no new scale atom. KILL TEST: Sigma m_nu (NO) = 0.059 eV; a robust cosmological bound below 0.059 eV or a >~5% shift of the required M_R kills the candidate. CANONICAL NOTE (2026-08-28, completeness wave, NU_TEXTURE_CENSUS_NULL, not a module): frozen 3x3 inventory search 0/1607 corpus candidates + 0/200 random control (best miss factor 12.6 on the reactor angle) -- the Q+ union needs structure beyond the frozen 3x3 inventory; mechanism [O] sharpened. Provenance: experiments/tfpt-discovery/nu_texture_census_probe.py. No v3 freeze; M2 = 1.73e10 GeV remains the unused prediction.

Recorded status: Candidate [C]/[N] + mechanism [O] (structured point inside the v481 window; scalaron-trace hypothesis typed, not derived; no seesaw closure)

Dependencies, status detail and source

Canonical status: [N] 3 M_scal within 1.8% of the required M_R and m_3 within 1.9% at the frozen v481 inputs; [E] exact ladder identities; [C] the scalaron-trace reading; [O] the mechanism; [X] the Sigma m_nu = 0.059 eV kill floor. Does NOT close FLAV.NUSCALE; v481 window candidate and v488 negative untouched. WAVE-3 RETYPE (2026-08-28): operator reading is the Q_+ eigenvalue route Spec{1,2,3} (v10/v50/v69), not Tr I = 3; texture DATA_CONSTRAINS_TEXTURE (nu-scalaron v2); mechanism stays [O]. COMPLETENESS-WAVE NOTE (2026-08-28): NU_TEXTURE_CENSUS_NULL 0/1607 + 0/200 -- frozen 3x3 inventory provably insufficient; mechanism [O] sharpened; no new module (search null). WAVE-5 (2026-08-29, v1003): Schur-texture NULL (8/8 D4-even (K,B) fail; lambda_1=lambda_3 forced) and scale NULL (12/12; 1-|c/a|=1.885e-4 not supplied) recorded as binding constraints on FLAV.NU.TEXTURE.MECHANISM.01 [O]. Candidate unmoved; no seesaw closure.

Dependencies: FLAV.NUSCALE.02; FLAV.NUSCALE.03; FLAV.NUSCALE.04; GRAV.FR.01; AX.P1.01

Scripts: v986_nu_scalaron_rung.py, v1003_nu_structural_nulls.py

Location: tfpt_2_standard_model

Original CSV, line 550

Original ledger status

COSMO.RUNNING.01

COSMO.RUNNING.01

Spectral-index running of the Starobinsky branch, PROMOTED from the 2026-07-20 scorecard prediction-of-record row (same N_star_reheating group as n_s/r/A_s; never an independent hit). [E] LO identities (sympy exact): alpha_s = dn_s/dln k = -2/N_star^2 = -r/6, beta_s = -4/N_star^3 (NOT -8/N^3); LO band N_star in [50,60]: [-8.0e-4, -5.6e-4]. [E] exact slow roll on the Einstein-frame Starobinsky potential (third-order Lyth-Riotto + finite-difference cross-check <1%): alpha_s(51.4) = -7.09e-4, beta_s(51.4) = -2.70e-5; exact band edges -7.48e-4 / -5.23e-4. [C] data confrontation: Planck 2018 TTTEEE+lowE+lensing (-0.0045+/-0.0067) -> +0.57 sigma; record leg P-ACT-LB (+0.0062+/-0.0052) -> -1.33 sigma (watch channel: the central value is POSITIVE); beta_s (Planck run+runrun, 0.010+/-0.013) -> -0.77 sigma. Forecast: LiteBIRD+CMB-S4 sigma(alpha_s) ~ 4.9e-3 (0.14 sigma); CMB-S4+DESI+Euclid statistical ~3.3e-4 (2.2 sigma, systematics-limited). KILL: robust alpha_s < -5e-3 or > +3e-3 at >=5 sigma; any robust POSITIVE running kills the plateau branch. FENCE: N_star stays an external reheating input (GATE.NSTAR.01); the frozen band [50,60] stays the surface of record; no gate closes, no marker moves

Recorded status: Identity [E] (LO relations + exact slow roll) + Physical [C] (data confrontation; N_star input)

Dependencies, status detail and source

Canonical status: [E] LO identities + exact-SR values; [C] pulls +0.57 sigma (Planck) / -1.33 sigma (P-ACT-LB record leg); kill = robust positive running; band [50,60] stays the record

Dependencies: COSMO.INF.01; COSMO.NSTAR.01; GATE.NSTAR.01

Scripts: v494_cosmo_running_mu_record.py

Location: tfpt_1

Original CSV, line 560

Original ledger status

COSMO.MUDIST.01

COSMO.MUDIST.01

CMB mu-distortion as the A_s/N_star BRANCH DISCRIMINATOR, PROMOTED from the 2026-07-20 scorecard prediction-of-record row (data-limited; shares the Nstar_branch alternative group with the two A_s readings -- one branch question, several readings). [C] Chluba-Erickcek-Ben-Dayan k-space window calibrated +21% on the LCDM Planck-2018 anchor to the literature mu_LCDM ~ 2.0e-8: sharp branch N_star = 51.4 (A_s = 1.76e-9) mu = 1.6e-8; profiled record N_star = 56.1 (A_s = 2.10e-9) mu = 1.94e-8 (~2.0e-8); band N_star in [50,60]: 1.5e-8 .. 2.3e-8; branch split Delta mu = 3.0e-9 (ratio 1.23) => >=3 sigma branch decision at sigma(mu) = 1e-9 (Voyage-2050 class). REACH: the PIXIE baseline 95% limit 9e-8 does NOT reach the band (sharp = 0.18 x limit); FIRAS 9e-5 is 4 dex above -- data-limited until a PIXIE+/Voyage-2050-class mission. [E] COMB BLINDNESS (honest S15 typing): the frozen recovery log-comb (omega = 2 pi/ln((3/2)^6) = 2.5827, eps = 0.0173) is STRUCTURALLY invisible in the mu window -- attenuation |F(omega)| = 0.033, delta mu = 7.4e-12 = 0.007 sigma even at Voyage-2050; the theory itself predicts where it cannot be seen, so NO comb-search row is opened. KILL: robust mu < 0.9e-8 or > 4e-8. FENCE: N_star stays an external input (GATE.NSTAR.01); the frozen band [50,60] stays the surface of record; no gate closes, no marker moves

Recorded status: Physical [C] (Chluba-window bridge, data-limited) + Identity [E] (comb-blindness attenuation)

Dependencies, status detail and source

Canonical status: [C] mu band 1.5-2.3e-8; branch split 3.0e-9 = 3 sigma at Voyage-2050; PIXIE baseline does not reach; [E] frozen comb structurally blind (0.007 sigma); kill = robust mu outside [0.9, 4]e-8

Dependencies: COSMO.INF.01; COSMO.NSTAR.01; GATE.NSTAR.01

Scripts: v494_cosmo_running_mu_record.py

Location: tfpt_2

Original CSV, line 561

Original ledger status

VGEO.TORSOR.01

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 670

Original ledger status

FTRANSFER.CLOCKS.01

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

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CCC.SEAM.CROSSOVER.01

CCC.SEAM.CROSSOVER.01

THE CCC CROSSOVER CONTRACT [O] (registered 2026-08-24 from the external TFPT-vs-CCC adjudication of the six gates; the kinematic base is CCC.SEAM.KINEMATICS.01 [E]/v957). DEMAND (the dynamical crossover, in order): (D1) the interacting seam algebra A_hol realised ON the lens crossover X = S^3/Z_4 with reflection positivity protected on the mid-gap cut class while the aeon transfer uses the through-mark class (the two D_4 classes whose product is the clock; the v529 straddle law is this separation at toy level; = WOIT.OS.TWISTOR.01 gamma in the crossover geometry); (D2) the aeon-transfer channel as a Stinespring isometry at FIELD level (the v957 finite-dimensional dilation lifted to the reconstructed net) -- fundamental unitarity + rank-1 attractor in the visible channel + microstate record in the complement; (D3) the cosmology fork DECIDED: exactly one active story (Starobinsky r = 12/N^2 in [0.0033, 0.0048] vs crossover/GW epoch vs computed hybrid) -- priced decidable by LiteBIRD/CMB-S4-class sigma(r) ~ 0.001; (D4) the preregistered disc search experiments/ccc-crossover-disc EXECUTED per its frozen hypotheses (top-hat template, sign-pairing statistics, kill criteria K1-K6, BH-q < 0.01 + replication decision rule) -- EXECUTED 2026-08-24 with a ROBUST NULL on the Planck PR3 SMICA map (first data contact; freeze intact 3/3 hashes, frozen-kernel guards 5/5 BEFORE data contact; map integrity 2013312960 bytes, SHA-256 pinned in results.json; seed 20260824, reruns bit-identical): max|SNR| 5.119 on data vs null mean 5.20 over 100 Gaussian LCDM sims (matched mask + spectrum), p_global = 0.673, p_counts = 0.446, BH-q_min = 0.673 -- the q < 0.01 threshold CLEARLY missed; 171 candidates |SNR| >= 4 with 83 pos / 88 neg (no sign excess); injection recovery 100 percent (20 x 200 muK discs at 1.16 deg -- the search is well-powered, the null is a REAL null); K1-K6 all NA (they fire only on a resolved relic; none exists); replication legs (half-mission, Commander/NILC) not required for a null per the frozen decision rule, available for future candidates; three amendments disclosed (seed pinning of the unseeded synfast preflight, reporting fields, the documented estimator l-weighting) -- statistics, thresholds and kill criteria unchanged; results machine-readable in experiments/ccc-crossover-disc/results/results.json. KILL CRITERIA (frozen): a free fitted conformal factor anywhere; failure of the mid-gap RP protection on the interacting algebra (kill test 2 of WOIT gamma); the interacting level breaking the v522 wrap = (-1)^F identification (reopens the deck fork); r measured incompatible with the surviving cosmology branch; a resolved crossover relic violating the frozen template class (K1-K6, incl. the K6 contrast bound killing the derived-kappa chain); mu_4 marks identified with Hawking-point counts (typed numerological, forbidden). FENCES: the cyclic/CCC reading stays [C] regardless; the executed D4 null does NOT damage the compiler core (the kernel was OUTPUT of the [E] kinematics, not input) and no kill criterion fired; the contract stays OPEN via D1-D3; nothing here asserts CCC follows from TFPT in either direction.

Recorded status: Open contract [O] (research contract; the kinematic base [E] via v957; the dynamics = WOIT.OS.TWISTOR.01 gamma on the crossover geometry; D4 executed 2026-08-24 with a robust preregistered null -- no kill fired, no type change; the contract stays open via D1-D3)

Dependencies, status detail and source

Canonical status: Open [O]: D1 interacting algebra on the crossover (WOIT gamma) + D2 field-level Stinespring + D3 cosmology fork decision = the remaining demands; D4 EXECUTED with a robust null (p_global 0.673, BH-q 0.673, injection recovery 100 percent, K1-K6 NA; results.json) -- no kill fired; kinematic base certified in v957

Dependencies: CCC.SEAM.KINEMATICS.01 (the certified base); WOIT.OS.TWISTOR.01 (gamma = D1); SEAM.THERMAL.KMS.01 (the kappa chain); v529/v534 (the straddle fence); experiments/ccc-crossover-disc (the frozen search)

Scripts: v957_ccc_crossover_kinematics.py

Location: tfpt_research_contracts

Original CSV, line 738

Original ledger status

FTRANSFER.GENERATING.01

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 759

Original ledger status

FTRANSFER.SK.RHO0.01

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 763

Established within the stated premises

Historical EM single-mode expression and full heat transfer have different spectral contracts

finding:historical-em-rank-one-and-full-heat-traces-have-different-contracts

fullv21 EM response uses scalar defect-sector weights with J1=1. v31 defines full heat transfer and its cosmological companion assumes lowest multiplicity48; v32 calls the route a future conjecture. v42 uses ordinary admissible eigenvalue traces and treats rank one as extra. The later1-q is not already the exact full finite heat determinant.

Scope: Source-reviewed version chain with distinct sectors. Not exclusion of every common underlying source; multiplicity48 cosmology and a scalar EM branch cannot be identified without the actual projection.

Required premises and original source excerpts
  • Historical concrete circle, heat-transfer and source-functional passages

    Historical audit contract: fullv21 contains D_Gamma=i partial_theta, u=exp(i theta) and twisted H1 domains; v31/32/42 write P_adm exp(-ell|B_Sigma|)P_adm; v42 has exp(W_k[J]) as a formal functional integral with STr. V1.06 contains the 11D C3 mode ansatz and n=1,g_top=8c3². The actual scope is audited, without assuming equality of old/new operators, physical times, traces or parameters.

    premise:historical-original-circle-and-transfer-source-passages

Open questions preserve their achieved subresults

Each research problem has its own scope. A resolved task does not close its whole physical parent. Historical tasks remain explicitly historical in the source record.

Future quotient and positive GNS reconstruction

What is determined by complete future behavior, and what additional positive word-kernel source is needed to reconstruct a cyclic operator realization?

  • Resolved in scope: Future quotient from complete rRead result
  • Resolved in scope: Conditional GNS reconstruction from supplied KRead result
  • open: Select complete K from the original source
Historical: common source, state and event selection

Outside the active mathematical research program since the user's23Oct2026 decision. Historical question: Do the original principles derive a common physical source together with its state, dynamical events, and physically observed fields?

Seam connection and family action

Does the joint discrete theorem determine a concrete connection and a family coupling compatible with the determinant seam action?

  • Resolved in scope: Separate classes from actual transportRead result
  • open: Derive the common connection from the original source
Physical time and complete transfer

Do the original reflection/projector structures determine the full physical time generator and required field transfer?

  • Resolved in scope: Reuse the sign-projector counterexampleRead result
  • Resolved in scope: Reuse conditional full-transfer reconstructionRead result
  • open: Identify the physical complete TFPT transfer
  • Resolved in scope: Reuse complete collar reconstructionRead result
  • Resolved in scope: Classify homogeneous GKLS embedding of the shared register familyRead result
  • Resolved in scope: Decide every homogeneous GKSL logarithm of the fixed M4 channelRead result
Flavor ratio and absolute amplitude scale

Which flavor quantity is fixed on the derived discrete stratum, and which requires the continuous holonomy anchor?

  • Resolved in scope: Reuse the derived flavor ratioRead result
  • open: Determine the absolute holonomy amplitude
Alpha: derived terms, unique root and physical EM identification

Where do the factors and closed alpha equation come from, which provenance steps are proved, and which precise physical EM identification remains open?

  • Resolved in scope: Separate root calculation from source selectionRead result
  • open: Derive the actual EM functional variation and Thomson identification
  • Resolved in scope: Establish the unique global positive rootRead result
Geometric flow and gravity normalization

Do common matter-only observations derive geometric horizon flow and the area response from the original gravity source?

  • Resolved in scope: Record scope of fixed original functionalRead result
  • open: Derive geometric modular response and area coefficient
Clocks and complete neutral source response

Which complete quadratic response can the actual clock images reconstruct?

  • Resolved in scope: Reconstruct all neutral quadratic matrix directionsRead result
  • open: Derive physically admissible probe access
Clock action on charge, time and quarter transition

How does the actual Gaussian J act on the complete marked source?

  • Resolved in scope: Construct original J lift with complete time/charge actionRead result
  • open: Derive physical meaning of the frame orbit
Which responses distinguish charged time action?

Which data separate sources with identical complete neutral vacuum response?

  • Resolved in scope: Determine twist blindness completelyRead result
  • Resolved in scope: Reconstruct twist from charged responsesRead result
  • open: Derive actual charged source probes
Which seam action distinguishes native opposite charges?

Can existing native charge fields produce the quarter-twist time response of the seam?

  • Resolved in scope: Check native fields and response discriminatorRead result
  • open: Derive actual marked seam/state action
Constructive seam search: operators, state and source compatibility

What does the complete phase search decide, and which additional state information prevents a false source solution?

  • Resolved in scope: Finite search closed, actual winding and parity equivalenceRead result
  • Resolved in scope: Positive finite-word state extensionRead result
  • Resolved in scope: E8 current group conditionally determines the P signRead result
  • Resolved in scope: The same shift functional hides distinct ground statesRead result
  • Resolved in scope: No phase hit realizes the unchanged sourceRead result
Which partner actually belongs to the original seam?

Which charge, state type and time action belong to the root partner and original sheet pairing?

  • Resolved in scope: Concrete pair operator; source neutrality is not hypercharge neutralityRead result
  • Resolved in scope: Fixed quarter time splits the color/weak multipletRead result
  • Resolved in scope: Explicit conjugation for the existing sheet pairingRead result
  • Resolved in scope: Actual partner map between quarter domainsRead result
  • Resolved in scope: Bilinear sheet pairing is not Hermitian kernel selectionRead result
  • Resolved in scope: Actual quarter conjugation transports the supplied markingRead result
  • Resolved in scope: No time-stabilizing orthogonal repair of the fixed markingRead result
  • Resolved in scope: Spinor16 is a state sector, not a 16-real one-particle fieldRead result
Automated construction of operator maps and sources

Which tools generate operator maps, learn counterexamples, and can search for the full positive source?

  • Resolved in scope: Calibrate new search without supplying the target mapRead result
  • open: Synthesize a joint field, marking and transfer dictionary
  • open: Search for the positive common source kernel itself
  • Resolved in scope: Automatically construct, certify and distinguish finite kernelsRead result
  • Resolved in scope: Repair search conditions against source types and collar controlsRead result
  • Resolved in scope: Reconstruct multi-field sewing of the canonically identified boundary sourceRead result
  • Resolved in scope: Retain absolute reference amplitude in searchRead result
  • Resolved in scope: Integrate supplied free source including boundary response and scalarRead result
  • Resolved in scope: Convert the full finite CAR kernel into a link functionalRead result
  • Resolved in scope: Close original recursive word reconstruction with memoryRead resultRead result
  • Resolved in scope: Retain whole original caller through scale and readoutRead resultRead result
  • Resolved in scope: Execute actual shared Higgs source with full matter words and local RPRead resultRead result
  • Resolved in scope: Reduce whole constant original Higgs spectral fiberRead result
  • open: Resolve original geometric Higgs residue sign and field map
  • Resolved in scope: Evaluate local original Higgs heat identification and whole finite consumerRead resultRead result
  • Resolved in scope: Execute whole variable bound Higgs reference and original scale mapRead resultRead result
  • Resolved in scope: Execute whole inner Higgs scale/source and normal kernel transportRead resultRead result
  • Resolved in scope: Execute given whole superconnection and normal spectral readerRead resultRead result
  • Resolved in scope: Determine own-admissibility and whole total-chiral spectral readersRead resultRead result
  • Resolved in scope: Derive whole scale-energy map,normal profile and relative flowRead resultRead result
  • Resolved in scope: Execute original Green energy producer and mixed scale readoutRead resultRead result
  • Resolved in scope: Match current action argument and common Higgs/gravity weightsRead resultRead result
  • Resolved in scope: Execute whole original curvature consumers and Higgs radial sourceRead resultRead resultRead result
  • Resolved in scope: Execute original whole four-ghost source and geometric type testRead resultRead result
  • Resolved in scope: Execute original moving normal kernel derivative and whole source responseRead result
  • Resolved in scope: Decide fixed original O1 source and normal operator placementRead result
  • Resolved in scope: Compare whole Higgs mixture and covariance reader on invariant four-field witnessRead result
  • Resolved in scope: Test exact bounded cutoff on whole ordinary Higgs volumeRead result
  • Resolved in scope: Test whole original circle joint mode and IR Higgs normalizationRead result
  • Resolved in scope: Test original O1 mode covariance against whole Higgs-law classRead result
  • open: Reconstruct original localization from the whole process
  • Resolved in scope: Test bare native-code word compression against actual localityRead result
  • Resolved in scope: Decide original geometric local-time class and execute actual interval readerRead resultRead result
  • Resolved in scope: Execute actual regional two-face partner and supported charged wordRead resultRead result
  • Resolved in scope: Execute original color marginal, modular field law and complete class readerRead resultRead resultRead result
  • Resolved in scope: Reconstruct common Higgs law from whole original quarter source towerRead resultRead resultRead result
  • Resolved in scope: Execute original record action on Doily and ordered whole source responseRead resultRead resultRead resultRead result
  • Resolved in scope: Locally implement original record process and test unchanged exterior sourceRead resultRead resultRead result
  • Resolved in scope: Execute original elliptic insertion,whole source and causal responseRead resultRead resultRead result
  • Resolved in scope: Evaluate actual joint Higgs and color group sourceRead resultRead result
  • Resolved in scope: Execute whole original graph color reader with typed original center selectorRead resultRead result
  • Resolved in scope: Execute original color fixed source and first inherited grading testRead resultRead result
  • Resolved in scope: Execute actual original color-spinor CAR four-word and complete spin-sector sewingRead resultRead result
  • Resolved in scope: Decide actual color admissibility of density operations and coordinate regionsRead resultRead result
  • Resolved in scope: Execute actual whole seam-operation class and two-face responseRead resultRead result
  • Resolved in scope: Execute entire original C6 word expansion with source amplitudeRead resultRead result
  • Resolved in scope: Execute original collective Higgs force source and entire mean dualRead resultRead resultRead result
  • Resolved in scope: Execute original all-mode force with actual time and whole sourceRead resultRead result
  • Resolved in scope: Execute original local space/time force source and causal liftRead resultRead result
Origin reverse selection, field dictionary and original P1 kernel

What does reverse selection of P1/P2 give for concrete local fields and multi-field responses, and which identification with the original P1 kernel has actually been proved?

Observable reality: minimal conditions and counterworlds

Which operational conditions are independently required, which inequivalent models satisfy them, and which observable distinctions remain for selection?

Formal carrier core: unbounded Pascal uniqueness and finite glue

Which carrier and glue statements are already present in the papers and Lean sources, and which physical selection does not follow?

  • Resolved in scope: Classify the unbounded Pascal proofRead result
  • Resolved in scope: Classify the formal finite glue scopeRead result
Active mathematical program: marked seam monodromies and lattice lifts

Which marked seam/lattice transport geometries, lift classes and local-coefficient invariants arise from existing clock/reflection/quartic data? First complete case: sign lifts of fourJ representation on CP1 minusμ4.

  • Resolved in scope: Define marked seam category and factor formulaRead result
  • Resolved in scope: Completely classify quarter-clock four-puncture liftsRead result
  • Resolved in scope: Determine central class and all subgroup restrictionsRead result
  • Resolved in scope: Determine full G0 cocycle and classRead result
  • Resolved in scope: Determine native4/5/6local cohomologyRead result
  • Resolved in scope: Classify unrestricted G31 reflection monodromiesRead resultRead result
  • Resolved in scope: Determine lift class beyond G0Read result
  • open: Classify additional reflection/clock equivariance and mapping-class quotients
  • Resolved in scope: Equivariant lifting and divisibility by eightRead result
  • Resolved in scope: All62clock obstructions and central transport variantsRead result
  • Resolved in scope: Actual group comparison and central pushout exclusionRead result
  • Resolved in scope: Complete invariants and explicit collisionsRead result
  • Resolved in scope: Compare E6 and E7 slices with the actual quarter clockRead resultRead resultRead resultRead result
  • Resolved in scope: Classify original character-valued G31monodromy liftsRead resultRead result
  • Resolved in scope: Determine E7-pair action on all original lattice fieldsRead result
  • Resolved in scope: Completely connect E6/E7 cuts to the original compilerRead result
  • Resolved in scope: Compare common covers and actual clock carriersRead result
  • Resolved in scope: Prove shared representation consequence for48,4/3 and5/4Read result
  • Resolved in scope: Completely decide joint compiler-field-cover constructionRead resultRead resultRead resultRead result
  • Resolved in scope: Reconstruct canonical local compiler field source from C4Read resultRead result
  • Resolved in scope: Eliminate redundant sector and multiplicity assumptionsRead result
  • Resolved in scope: Classify native equivariant markingsRead result
  • Resolved in scope: Classify pure quarter clock mapping class quotientRead result
  • Resolved in scope: Determine complete cut algebra and lossless tetrahedron transformRead resultRead resultRead resultRead result
  • Resolved in scope: Completely compare scalar glue and actual native compiler classRead resultRead resultRead resultRead result
Common clock sectors, quartic geometry and operational reconstruction

Which previously separate data of the original TFPT core follow from a common clock and representation geometry, and which complete finite measurement classification follows without asserting physical source selection?

Automatic response search with original-source decision

Which additional joint response actually follows from original source equations, and which entire finite process family remains undecided without it?