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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.

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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 All 788 ledger rows, including superseded rows, remain in the download.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

1493 matching records · page 2 of 75

Original ledger status

FLAV.LEPTONC.01

FLAV.LEPTONC.01

lepton c's DERIVED: non-anchor c=|mu4|^w/(5/4-cos(r pi/3)) at delta=1/2,y=1 gives c_e=16/7,c_mu=4/3 exactly; anchor from product rule prod c=2^gcar/Nfam^2=32/9 gives c_tau=7/6; reproduces (8/7,12/7,3/2) ratios. Lepton-specific: down sector forces c_d/c_s=4 vs actual 0.94 (quarks structurally different)

Recorded status: Identity

Dependencies, status detail and source

Canonical status: Identity

Dependencies: delta=1/2 (distinguished); hexagon resolvent; g_car,N_fam,mu4

Scripts: v20_lepton_c_derivation.py

Location: tfpt_2

Original CSV, line 22

Original ledger status

FLAV.SOLAR.02

FLAV.SOLAR.02

solar coefficient is the A3 glue-norm: eps=q(A3)*phi0=(3/4)phi0, q(A3)=3/4 the same norm in q(D5)+q(A3)=2; leading term = c3 exact; sin^2 th12=1/3-phi0/2=0.30675. Product rule 32/9=2^gcar/Nfam^2 interpreted (full Clifford dim/Nfam^2); sum L_lepton=16=dim S+. Quark non-extension: cusp-leg law gives c_c/c_s=1/7 vs actual 0.724

Recorded status: Identity

Dependencies, status detail and source

Canonical status: Identity

Dependencies: FLAV.SOLAR.01; FLAV.LEPTONC.01; E8 glue norms

Scripts: v21_solar_product_quark.py

Location: tfpt_2

Original CSV, line 23

Original ledger status

ANCHOR.GEN.01

ANCHOR.GEN.01

anchor-first: a=(1,1,2) elementary symmetric e_k=(4,5,2)=(|mu4|,g_car,|Z2|), c3=1/(2 e1 pi)=1/(8pi); power sums p_n=2+2^n give |R(E8)|=p1p2p3=240, dim E8=248, rank=p4-p3=8, binary ladder 2^n. Inputs reduce {c3,g_car} -> {a,pi}

Recorded status: Identity

Dependencies, status detail and source

Canonical status: Identity

Dependencies: a=(1,1,2) parabolic anchor

Scripts: v23_anchor_generator.py

Location: introduction;tfpt_1

Original CSV, line 24

Original ledger status

FLAV.QRATIO.01

FLAV.QRATIO.01

quark RATIO closure: c_u/c_d=g_car*11/(Nfam^2 DeltaQ)=55/117, c_c/c_s=p5(a)/(Oadm-1)=34/47, c_t/c_b=Nfam/(2 DeltaQ)=3/26; mass ratios 0.470085/13.605/40.81 match targets <0.03%; rational c gauge (1/2,117/110,47/41,34/41,8/3,4/13), Lambda_q in O(1). c_c/c_s and c_t/c_b have clean single-reading blocks; c_u/c_d '11' is NOT uniquely forced (>=5 readings) and 55/117=table ratio 0.440/0.936; the '11' reading is generated not assumed (v42)

Recorded status: Identity/Numerical

Dependencies, status detail and source

Canonical status: [I] ratios closed on the DERIVED selector stratum (v49/v69/v71); only the absolute amplitude scale U_point stays [A]; FORBIDDEN WORDING: do not write 'quark ratios stay [P]'

Dependencies: FLAV.RESOLV.01; anchor p5=34; DeltaQ=13; Oadm=48

Scripts: v24_quark_ratio_closure.py, v26_flavor_frontier_unification.py

Location: tfpt_2

Original CSV, line 25

Original ledger status

RH.SPLIT.01

RH.SPLIT.01

RH route progress: exponent collapse sum_k U^k A0 U^-k = 4 diag(A0) exact (U=diag(1,i,-i)); integer-exponent options = perms of (2,1,1),(2,2,0); SPLITTING type made ALGEBRAIC: O(-2)+O(-1)^2 <=> diag(A0)=(1/2,1/4,1/4) (Schur-Horn realizable). Wall: product=I is path-ordered (not exp of sum) -> off-diag(A0) via RH solve; R-extraction needs C6<->P1mu4 bridge; c_u/c_d NOT obtained (no fabrication)

Recorded status: Numerical (partial; honest wall)

Dependencies, status detail and source

Canonical status: Numerical (partial; honest wall)

Dependencies: CONTRACT.U.01

Scripts: v32_rh_splitting.py

Location: tfpt_research_contracts

Original CSV, line 29

Original ledger status

RH.BUNDLE.01

RH.BUNDLE.01

EXPLICIT valid (U_wall) flat bundle constructed via numerical RH solve: A0 (eig {0,1/3,2/3}, diag (1/2,1/4,1/4)) realises cusp class + splitting O(-2)+O(-1)^2 (SigmaA_k=diag(2,1,1)) + trivial infinity monodromy ||M_inf-I||~1e-9 (=> prod M_k=I) + IRREDUCIBLE (case A, nontrivial mixing). Existence + case A confirmed; unique nabla_F* needs det R=8; c_u/c_d needs H2 bridge

Recorded status: Numerical (explicit realisation)

Dependencies, status detail and source

Canonical status: Numerical (explicit realisation)

Dependencies: RH.SPLIT.01; CONTRACT.U.01

Scripts: v33_explicit_flat_bundle.py

Location: tfpt_research_contracts

Original CSV, line 30

Original ledger status

BOUNDARY.01

BOUNDARY.01

the two gates are the discrete<->continuous HANDOFF, not missing formulas: quark cross-ratio cleanness tracks generation (t/b=3/26 clean err 3e-5; c/s fits 21/29 AND 34/47; u/d fits 8/17 AND 55/117 -> '11' not forced) = QCD/scheme-sensitivity boundary (FLAG). Compiler gives clean skeleton (K ladder, word-lengths, splitting, t/b); light-quark c's are QCD-dressed. Gravity same shape (R+R^2 clean; full measure = continuous completion)

Recorded status: Conceptual (verified)

Dependencies, status detail and source

Canonical status: Conceptual (verified)

Dependencies: FLAV.QRATIO.01; v35

Scripts: v35_quark_qcd_boundary.py

Location: introduction;tfpt_4

Original CSV, line 31

Original ledger status

H2.BRIDGE.01

H2.BRIDGE.01

H2 bridge attempt: explicit per-puncture monodromies M_k computed (cusp class, prod M_k=I to 1e-5). HONEST NEGATIVE: |diag M_k|=(0,1/2,1/2), natural resolvent-dressed extraction h_j*g(1,r_j) does NOT reproduce lepton amplitudes (0.475,1.107,0.917). The Gamma^min geodesic-to-word dictionary (C6 hexagon <-> family rho*) is genuinely missing; R stays combinatorial (H1+det R=8); c_u/c_d NOT obtained, no fabrication

Recorded status: Numerical (honest negative)

Dependencies, status detail and source

Canonical status: Numerical (honest negative)

Dependencies: RH.BUNDLE.01

Scripts: v34_h2_bridge_attempt.py

Location: tfpt_research_contracts

Original CSV, line 32

Original ledger status

CONTRACT.G.01

CONTRACT.G.01

Research Contract 2 (G_metric): lemma chain G0-G8 + Theorem G; priority 2 (deep analytic programme). Certified: G5 gap-dominance 2||V||=0.785<Delta=2.433, Delta_eff>1.647

Recorded status: Open (research contract)

Dependencies, status detail and source

Canonical status: Open (research contract)

Dependencies: GATE.METRIC.01; GRAV.FR.01

Scripts: v29_research_contract_certs.py, v28_gravity_fR.py

Location: tfpt_research_contracts

Original CSV, line 33

Original ledger status

GRAV.FR.01

GRAV.FR.01

R+R^2 covariant field equation CLOSED [I/P]: f(R)=R+R^2/(6M^2), M=c3^(7/2)Mbar=3.06e13 GeV=scalaron mass (m^2=1/(3 f_RR)=M^2); f(R) Einstein-side eq + 4D trace; N*=57 -> n_s=0.96491,r=0.00369,A_s=2.17e-9. Full metric measure OPEN [A] (G_metric); rel bound 248 c3^2=0.393<6log(3/2)=2.433

Recorded status: Identity/Physical (regime) + Open (full measure)

Dependencies, status detail and source

Canonical status: Identity/Physical (regime) + Open (full measure)

Dependencies: QG.AMB.01; scalaron c3^7

Scripts: v28_gravity_fR.py

Location: tfpt_2;tfpt_4

Original CSV, line 34

Original ledger status

FR.KOIDE.02

FR.KOIDE.02

CONJECTURE: Q_l source=0.66446; Q_source+phi0/|W(A3)|=Q_source+phi0/24=0.666679 overshoots 2/3 by 1.3e-5 (source->pole correction conjecture, |W(A3)|=24)

Recorded status: Physical (conjecture)

Dependencies, status detail and source

Canonical status: Physical (conjecture)

Dependencies: FR.KOIDE.01

Scripts: v25_frontier_conjectures.py

Location: tfpt_4

Original CSV, line 35

Original ledger status

FR.DM.02

FR.DM.02

determinant-line axion f_a=M_scal/(2 dim S+ |mu4|)=M_scal/128~2.39e11 GeV, m_a~23.8 ueV. POST-INFLATIONARY REFRAMING [C] (2026-07-10; isocurvature analysis experiments/theory-contracts/axion01-06): the R^2 branch fixes H_inf=pi Mbar sqrt(A_s r/2)~1.6e13 GeV, so H_inf/f_a~66>1 and H_inf/(2pi f_a)~10 -- a FIXED pre-inflationary misalignment angle (108 deg spine DM.AXION.SPINE.01 or 170 deg hilltop FR.DM.03) is INCONSISTENT (CDM isocurvature >> Planck beta_iso<0.038). The natural DIAL-FREE resolution is POST-INFLATIONARY PQ breaking: theta_i is a horizon average (NOT a prediction), the relic follows from f_a alone -- f_a~2.39e11 sits in the post-inflationary window (Omega_a h^2~O(0.1-0.5)). DOMAIN-WALL-SAFE: N_DW = seam det-line index = inflow level |C|=1 (v470/v472) => N_DW=1 [C]. The axion branch is REFRAMED not killed: drop the fixed angle as observable, keep f_a + N_DW=1. NOT closed (relic O(1) string/wall uncertainty; N_DW identification [C])

Recorded status: Physical [C] (post-inflationary reframing)

Dependencies, status detail and source

Canonical status: Physical [C]: post-inflationary determinant-line axion, relic from f_a (in window), N_DW=|C|=1 domain-wall-safe; the fixed pre-inflationary spine/hilltop angle is inconsistent (isocurvature) and NOT observable -- reframed, not a closed hit

Dependencies: FR.DM.01; M_scal=c3^{7/2}Mbar; v470; v472

Scripts: v25_frontier_conjectures.py

Location: tfpt_4

Original CSV, line 36

Original ledger status

FLAV.CKM.01

FLAV.CKM.01

CKM core s12=lambda_C; s23; s13; delta=pi/3+3lC^2

Recorded status: Numerical

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: seed phi0

Scripts: See original ledger entry

Location: tfpt_1;tfpt_2

Original CSV, line 37

Original ledger status

CAS.01

CAS.01

cascade D_n=60-2n: endpoints; exponent rungs -> 240; IR tail 46080; variance 6552

Recorded status: Lattice

Dependencies, status detail and source

Canonical status: Lattice

Dependencies: -

Scripts: v5_e8_cascade.py

Location: tfpt_3

Original CSV, line 38

Original ledger status

BOOT.01

BOOT.01

bootstrap mu^2-5mu+4=0; g_car=5 three ways; 8=rankE8=h(D5)=phi(30)

Recorded status: Lattice

Dependencies, status detail and source

Canonical status: Lattice

Dependencies: -

Scripts: v6_bootstrap.py

Location: tfpt_3

Original CSV, line 39

Original ledger status

GRAV.SCAL.01

GRAV.SCAL.01

scalaron exponent 7; M_scal^2/Mbar^2 = c3^7 (3.06e13 GeV)

Recorded status: Numerical

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: AX.P1.01

Scripts: v7_gravity_cosmo.py

Location: tfpt_1;tfpt_2

Original CSV, line 40

Original ledger status

COSMO.LAM.01

COSMO.LAM.01

rho_Lambda/Mbar^4 = (3/4pi^2) e^{-2 a^-1} = 7.125e-121 (dark-energy scale 2.2375 meV)

Recorded status: Numerical

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: EM.FP.01

Scripts: v7_gravity_cosmo.py

Location: tfpt_1

Original CSV, line 41

Original ledger status

COSMO.INF.01

COSMO.INF.01

Starobinsky A_s; n_s=1-2/N*; r=12/N*^2

Recorded status: Numerical

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: GRAV.SCAL.01

Scripts: v7_gravity_cosmo.py

Location: tfpt_1;tfpt_2

Original CSV, line 42

Original ledger status

COSMO.OMB.01

COSMO.OMB.01

Omega_b = (1-1/4pi) phi0 = 0.04894

Recorded status: Numerical

Dependencies, status detail and source

Canonical status: Numerical

Dependencies: AX.P1.01; phi0

Scripts: v7_gravity_cosmo.py

Location: tfpt_1;tfpt_3

Original CSV, line 43

Original ledger status

HOR.01

HOR.01

horizon unit code: 1/(2pi)=4c3; 1920=|W(D5)|; S_dS; Page; beta_rad

Recorded status: Physical (reframe; not new physics)

Dependencies, status detail and source

Canonical status: Physical (reframe; not new physics)

Dependencies: AX.P1.01

Scripts: v8_horizon.py

Location: AppendixH

Original CSV, line 44

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?