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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 · 706 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 All 788 ledger rows, including superseded rows, remain in the download.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 707 findings; 1 administrative record is excluded from public scientific content, with the omission recorded in the coverage file.

The scientific findings include 515 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 4d8fcdb3587f8e4cc0898e5c · snapshot SHA256 7c23438352ba021cef5aa0999c31e5c242fbc6ed12b172e4d35fb6a68f65dbb4

12 matching records · page 1 of 1

Original ledger status

REG.FREEZE.01

REG.FREEZE.01

Blind-prediction registry FROZEN 2026-06-09, machine-enforced (review point: pre-registration before JUNO/CMB-S4/LiteBIRD/DESI). predictions_frozen.json freezes every dimensionless prediction of record at 25 significant digits; v84 re-derives each decimal from the two axioms {c3,g_car} on every run, so formula and frozen value are locked together (changing either alone FAILS the suite; the file is covered by manifest.sha256). Registry layers: core [N] (alpha^-1, lambda_C, s23/s13 CKM, sin^2 th13, lepton + quark mass ratios), conditional [N]/[P] with the hypothesis NAMED (th12 seed via seam-misalignment, beta_rad, Omega_b, delta_CKM leading, M_scal/Mbar, rho_Lambda/Mbar^4 branch), assigned (delta_CP^nu=240deg, th23=0.5), conditional BANDS for r and n_s at the declared external N_star in [50,60]. THETA12 FREEZE ENFORCED: exactly ONE prediction of record = seed 1/3-phi0/2 = 0.306747357245; the seam (0.306808) and nonlinear (0.307020) values are typed as derived variants of the SAME texture and may NOT appear as predictions (look-elsewhere ambiguity machine-excluded)

Recorded status: Numerical [N] (registry lock) + typing discipline

Dependencies, status detail and source

Canonical status: Numerical [N] (registry lock)

Dependencies: EM.FP.01; FLAV.TH12.01; PRED.LAYER.01; freeze_file.csv

Scripts: v84_frozen_registry.py

Location: verification;tfpt_2;introduction

Original CSV, line 158

Original ledger status

FLAV.CP.01

FLAV.CP.01

Red-team Target D follow-up: CP-phase residual QUANTIFIED [N] (not closed; freeze respected): frozen leading reading delta_CKM=pi/3+3 lam^2=1.198232 rad=68.654 deg (registry DELTA_CKM_RAD untouched) gives J=3.327e-5 [I]. Clean phase probe gamma_PDG=65.7+-3.0 deg: pull +0.98 sigma => leading reading SURVIVES. AUDIT (recorded, explicitly NOT promoted): the data central value sits 0.07 deg from the ALTERNATIVE coefficient reading pi/3+2 lam^2 (|Z2| instead of N_fam) - the residual is -1.02 lam^2; textbook look-elsewhere trap, the registry keeps coefficient N_fam=3 (REG.FREEZE.01/v84 forbid silent switching). DECISION THRESHOLD: the two readings differ by lam^2=2.884 deg => 3-sigma distinguishable once sigma_gamma<=0.96 deg (LHCb upgrade / Belle II). Kill both ways: |gamma-68.65deg|>3sigma at sigma_gamma<1deg kills the N_fam coefficient; gamma->68.65 retires the |Z2| shadow. CAVEAT: J-inversion residual -3.15 lam^2 is magnitude-contaminated (TFPT source-scale s23=0.0434 vs PDG M_Z 0.0408; J pull +1.76 sigma recorded); gamma is the clean probe. Target-D typing unchanged: phases remain outside v_geo [P]

Recorded status: Numerical [N] (audit + thresholds) + [P] (phase mechanism open)

Dependencies, status detail and source

Canonical status: Numerical [N]: leading reading survives at +0.98 sigma; residual = -1.02 lam^2 recorded; decision at sigma_gamma<1 deg

Dependencies: REDTEAM.D.01; REG.FREEZE.01; FLAV.CKM.01

Scripts: v88_cp_phase_audit.py

Location: tfpt_5_redteam;tfpt_2

Original CSV, line 162

Original ledger status

FR.TRANSFER.01

FR.TRANSFER.01

THE F_TRANSFER DISCIPLINE GUARD (a CI-style firewall check, the machine-readable form of the Frontier rule; external-review proposal 2026-06-14): the four continuous-transfer frontier observables -- Koide (FR.KOIDE.*), eta_B (FR.ETAB.*), the axion relic (FR.DM.*), and m_p/m_e + Lambda_QCD (FR.MPME.*, QCD.LAMBDA.*) -- must NEVER be typed as primitive [E]/[N] compiler predictions; each must carry a conditional [C] / anchor-open [A]/[O] marker. The guard reads status_ledger.csv and enforces it (all active frontier prediction rows pass; exact algebraic SUB-parts may be [I]/[E] -- the Koide 53/54 factor v183, b3=-7 v159 -- but the PHYSICAL prediction never is). Records the four explicit 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). Confirms the raster rule + frozen registry (REG.FREEZE.01) + null model (AUDIT.NULLMC.01) bind, so the frontier transfers stay OUTSIDE the closed dimensionless compiler. Prevents any future edit from quietly promoting a pretty frontier number to a closed compiler output. Python-only

Recorded status: Identity/guard [I] (ledger-enforced typing discipline)

Dependencies, status detail and source

Canonical status: Identity/guard [I]: the four F_transfer frontier observables are ledger-enforced to stay [C]/[A]/[O], never primitive [E]/[N]

Dependencies: FR.KOIDE.07; FR.ETAB.03; FR.DM.03; QCD.LAMBDA.01; REG.FREEZE.01; AUDIT.NULLMC.01

Scripts: v187_ftransfer_laws.py

Location: tfpt_4_frontier

Original CSV, line 181

Original ledger status

REVIEW.MAP.01

REVIEW.MAP.01

THE FOUR EXTERNAL-REVIEW CONCERNS REDUCE TO THE TWO ALREADY-NAMED RESIDUALS + ONE DATA-ONLY ITEM (a careful 2026-06-14 review raised A mapping 2D->4D, B UV-gravity abstractness, C grammar-tuning/meta-look-elsewhere, D Koide Mobius flow; this maps them honestly): three reduce by the same discipline as v175-v181 onto {QGEO.SYM.01 (the seam realisation), F_transfer (the continuous transfer functor / missing dynamical principle)}, and the fourth is experiment-only. (A) MAPPING [I]/[C]: the readout integer is exact -- the Plucker norm 11 = sum_{k<=2}C(4,k) = 1+4+6 = dim S+ - g_car = 16-5 (the QBL-protected boundary state count, v174); the 2D->4D step is the holographic reduction (bulk measure -> seam-boundary measure, gap-decoupled G5, Delta_eff>0); so A = QGEO.SYM.01 + F_transfer, NOT a new gate. (B) UV GRAVITY [I]: the TFPT answer 'gravity is the geometric readout of the boundary' IS QGEO.SYM.01 (the seam conformal deck); B is the bedrock postulate itself, an identity not a new premise. (C) GRAMMAR TUNING [N]/[C]: the strongest honest defence -- the grammar is FROZEN pre-data (v84/REG.FREEZE.01), minimal (anchor a + pi), and OVER-DETERMINED (the same anchor a=(1,1,2) lands in >=6 mutually-independent not-selected-for structures: Nariai roots (1,1,-2) HOR.NARIAI.01; Coxeter-30=|Z2|N_fam g_car SEAM.CYCLE.01; spine tetrahedron {2,3,4,5} ARCH.SPINE.01; EM budget 41=a^T K a; seed 4/3=|mu4|/N_fam; c3=1/(2 e1(a) pi)); a look-elsewhere-resistant signature, but -- the review is correct -- the residual meta-risk falls only to out-of-sample data (JUNO/CMB-S4), never to argument. (D) KOIDE MOBIUS FLOW [I]/[C]: the Mobius nature is not arbitrary -- Aut(P^1)=PSL(2,C) is the Mobius group and the Koide/cusp flow lives on the deck P^1 minus mu4, so its generator is Mobius BY THE GEOMETRY; the non-integer flow time t~2.84 (FR.KOIDE.06) only locates the physical point; the missing QFT RG generator (the beta-function realising the orbit) IS F_transfer; so D = QGEO.SYM.01 + F_transfer, not a new gate. NET: A/B/D collapse onto {QGEO.SYM.01, F_transfer}; C is the single experiment-only meta-question. A unification of the concern structure, NOT a closure of the underlying premises (which stay [O]/[C], honestly)

Recorded status: Reduction map [I]/[C] (A/B/D reduce to the two named residuals; C is experiment-only)

Dependencies, status detail and source

Canonical status: Reduction [I]/[C]: external-review concerns A/B/D reduce to {QGEO.SYM.01; F_transfer}; C is data-only (JUNO/CMB-S4)

Dependencies: QGEO.SYM.01; FR.KOIDE.06; FR.ETAB.02; AUDIT.NULLMC.01; REG.FREEZE.01; QFT.FOCK.01; HOR.NARIAI.01; SEAM.CYCLE.01

Scripts: v182_reviewer_residual_map.py

Location: tfpt_5_redteam

Original CSV, line 281

Original ledger status

CP.MOD.01

CP.MOD.01

CP HEXAGONAL MODULUS (2026-06-16): CP lives in the HEXAGONAL phase fiber, not the square seam deck (a geometric sharpening of red-team Target D, the magnitude bijection misses the CP phases). The seam deck is the SQUARE modulus j(i)=1728, automorphism Z/4 (the mu4 clock); its exceptional partner is the HEX modulus j(rho)=0, rho=e^{i pi/3}, automorphism Z/6, CM by Z[omega], arg(rho)=pi/3. The frozen leading CKM reading delta=pi/3+3 lambda_C^2=68.654 deg (FLAV.CP.01, registry untouched) has leading term pi/3=arg(rho); the |Z2| alternative pi/3+2 lambda_C^2 is the frozen look-elsewhere trap. CRITICAL: the seam deck stays Z/4 (QGEO.KILL.01); CP is the Z/6 phase fiber OVER it. SCOPED (2026-07-29, T177/v561): the [C] is relative to a declared branch -- the invariant part of the reading is the leading term arg(rho) = pi/3; the full delta = pi/3 + 3 lambda_C^2 is a branch/frame-relative quantity (it has NO character under the parity/sector involution: a CP-even correction added to a CP-odd angle). The frozen reading itself is untouched (REG.FREEZE.01).

Recorded status: Identity/Numerical (modular) [E]/[C]

Dependencies, status detail and source

Canonical status: [E] j(i)=1728 (Z/4) vs j(rho)=0 (Z/6, arg=pi/3); delta=pi/3+3 lam^2 leading term = the hex CM phase; deck stays Z/4, CP is the Z/6 fiber [C]. NOT a CP derivation; scope narrowed: the invariant part is the leading term pi/3, the full delta is branch/frame-relative (T177/v561)

Dependencies: FLAV.CP.01; QGEO.PILLOW.01; QGEO.KILL.01

Scripts: v220_cp_hexagonal_modulus.py, v561_cp_channel_identities.py

Location: tfpt_5_redteam

Original CSV, line 312

Original ledger status

DATA.WATCHDOG.01

DATA.WATCHDOG.01

DATA WATCHDOG / DECISION PIPELINE (2026-06-21): the operational decision layer over the frozen registry (REG.FREEZE.01/v84) [N] (Python-only, external data). [N] reads predictions_frozen.json and classifies all 21 entries (16 predictions + 2 assigned textures + 2 conditional bands + 1 F_transfer bridge: rare kaon) PASS/WATCH/TENSION/KILL by live n_sigma vs repo-documented current bests (CODATA 2022, NuFIT 6.0, ACT DR6, Planck 2018, PDG 2024, BK18, NA62 2016-2024); ratio observables judged against the conservative v18/v100 scheme window. [N] DATA PROVENANCE (2026-06-22 hardening): every measured/bridge source carries a release date (SOURCE_DATES) so the board cannot silently drift onto stale numbers; [N] RARE-KAON BRIDGE: BR(K+)=9.45e-11 lands on NA62 2016-2024 (9.6 +1.9/-1.8)e-11 at +0.08 sigma (was ~1.2 sigma vs the 2016-2022 13.0e-11), an F_transfer bridge readout (not a unique TFPT-vs-SM discriminator). [N] THEORY ALIVE: no decidable prediction in KILL (|n_sigma|<3). [N] POWER + PRESSURE POINT: watch items alpha^-1 (1.9 sigma), s23 (1.8 sigma), delta_CKM (1.0 sigma) and the most-tensioned CORE prediction sin^2 theta13 (2.0 sigma) = the honest current pressure point (DATA.SCORECARD.01/v62). [N] JUNO #1 KILL TEST: the prediction-of-record sin^2 theta12=0.306747 currently compatible (0.02 sigma), the fastest falsifier. [N] FRONTS: r in [0.0033,0.0048] below BK18 0.036 and the kill 0.01 (allowed); n_s band overlaps Planck; w=-1 flagged WATCHDOG (DESI dynamical-DE = the most dangerous negative front). A decision harness over repo-documented data, not a new claim.

Recorded status: Numerical/data [N] (decision pipeline)

Dependencies, status detail and source

Canonical status: [N] the registry-wide classification + theory-alive (no KILL) + the watch/pressure-point identification (sin^2 theta13 ~2 sigma) + the JUNO kill test + the r/n_s/w fronts. An operational decision layer over REG.FREEZE.01; does NOT change any prediction's status.

Dependencies: REG.FREEZE.01; DATA.SCORECARD.01

Scripts: v307_data_watchdog.py

Location: origin_theory

Original CSV, line 405

Original ledger status

FLAV.TH13.PRESSURE.01

FLAV.TH13.PRESSURE.01

THE theta13 PRESSURE POINT -- THE HONEST WEAK SPOT, QUANTIFIED AND PRE-REGISTERED (2026-06-22). [N] TENSION: sin^2 theta13 = phi0 e^{-5/6} = 0.023108 vs NuFIT 6.0 NO (0.02195 +- 0.00058) is +2.0 sigma -- the most-tensioned CORE prediction (v62/v307). [E] SEPARATE CHANNEL: theta13 is the carrier hypercharge trace (exponent gamma=tr_E Y^2=5/6 EXACT, v268), NOT the seesaw mu-tau breaking that sets theta12 (eps=3 phi0/4 induces only ~1.6e-3 << 0.023) -- distinct channels, a theta13 pull does not move theta12. [N] NO CHEAP RELIEF: phi0(theta13)=e^{5/6} sin^2 theta13_exp=0.0505 is ~5% below the axiom 0.05317; PMNS theta13 RG running is <1% (NO) so cannot close a 5% gap, and the exponent 5/6 is exact -- no freeze-respecting sub-leading correction relieves it; prediction stays frozen (REG.FREEZE.01). [X] PRE-REGISTERED KILL: a stable sin^2 theta13 away from 0.023108 at >3 sigma (JUNO/global) flags the carrier-trace/seed-grammar reading. [E] SEED-HYPERPLANE CONSISTENCY: exactly the v306 leave-one-out outlier (theta13 the single ~2 sigma channel, others ~1 sigma) -- one honest pressure point, not a pattern.

Recorded status: Numerical/data [N]/[X] (theta13 pressure point)

Dependencies, status detail and source

Canonical status: [N] the precise +2.0 sigma tension + the no-relief audit; [E] the separate-channel structure (v268) + the seed-hyperplane consistency; [X] the pre-registered kill. Names and quantifies the honest weak point; no new claim, no freeze change.

Dependencies: FLAV.TH13.01; DATA.SCORECARD.01; SEED.CROSSVAL.01; v268; v62; v306; v307

Scripts: v328_theta13_pressure.py

Location: tfpt_2_standard_model

Original CSV, line 427

Original ledger status

FLAV.THIRDGEN.PATTERN.01

FLAV.THIRDGEN.PATTERN.01

THIRD-GENERATION LADDER-BASE PATTERN (2026-07-02, v467): the suite's THREE ~2 sigma mixing tensions (sin^2 theta13 +2.0 sigma, sin^2 theta23 +1.8 sigma, V_cb +1.8 sigma; v307) are ONE common ~ -phi0 suppression -- quantified and pre-registered as a CANDIDATE, the frozen record (v84/REG.FREEZE.01) is NOT changed. In existing vocabulary the pattern is parameter-free: the seed enters third-generation mixings through the LADDER BASE lambda_C^2 = phi0(1-phi0) (the Yukawa mass-ladder base, tfpt_2) instead of bare phi0, and the 2-3 texture carries the same -phi0/2 shift as theta12: sin^2 theta13 = lambda_C^2 e^{-5/6} = 0.021880 (+2.00 -> -0.12 sigma), sin^2 theta23 = (1-phi0)/2 <=> cos 2theta23 = phi0 = 0.473414 (+1.76 -> +0.20), V_cb = lambda_C^2/(1+lambda_C) = 0.041119 (+1.79 -> +0.01). Scope checks that make it a rule not a fit: V_ub = lambda_C^3/3 has no bare phi0, stays untouched and consistent (-0.23); the 1-2 channels must stay undressed and do (theta12 -0.02, lambda_C -0.25; dressing lambda_C would give -24 sigma). Weighted common deviation of the three affected channels -5.36% +- 1.67% (3.2 sigma non-zero, -0.03 sigma from -phi0); joint chi^2 over the four third-gen observables 10.4 -> 0.11 with ZERO new parameters; Daya Bay alone already prefers the pattern (Delta chi^2 = 4.3). HONEST: post-hoc (5/16 equally-simple dressings fix the two PMNS tensions; (1-phi0)/(1-c3)/resolvent degenerate <1.4%); suppression size phi0 = 5.32% sits INSIDE the seam-gapped correction band (2/3)^6 = 8.78% (v393) but NO seam-transport derivation exists (Bernoulli-variance reading lambda_Y^2 = Var[Bernoulli(phi0)] is an exact identity but only an interpretation). Pre-registered kills: theta13 stable at 0.0231 kills the pattern; at ~0.0219 (sigma_rel<1%) kills the record's bare-phi0 reading; exclusive |Vcb| ~0.0395 kills both; JUNO-era reactors + Belle II decide.

Recorded status: Numerical [N]/[C]/[O] (candidate pattern; record of v84 untouched)

Dependencies, status detail and source

Canonical status: Open [O] candidate pattern (post-hoc, quantified, pre-registered): three ~2 sigma third-gen mixing tensions = one common -phi0 suppression (3.2 sigma non-zero; ladder-base forms drop joint chi^2 10.4 -> 0.11, zero parameters); frozen record unchanged; needs a seam-transport derivation to become more than a candidate

Dependencies: FLAV.TH13.PRESSURE.01; REG.FREEZE.01; CORRECTIONS.NUMERIC.01; FLAV.TH13.01; SEED.CROSSVAL.01

Scripts: v467_thirdgen_mixing_pattern.py

Location: tfpt_2

Original CSV, line 528

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

CP.CHANNEL.IDENT.01

CP.CHANNEL.IDENT.01

THE CP CHANNEL / INVARIANT IDENTITIES (2026-07-29; one module, 25 checks, ~1 s; promotion of the exact cores of discovery T177 (contract CP.INVARIANT, probe cp_invariant_probe.py, 49/49, verdict DEGENERATE) -- THE CP MIRROR AS ALGEBRA: the prime-front toolkit (gauge-degree bookkeeping under declared group actions) turned on the four CP ledger rows REDTEAM.D.01 / E8.CHAN.01 / CP.MOD.01 / DUAL.FRAME.01; every statement is a NARROWING of an existing reading, executed in the same change, with NO marker moves and NO CP derivation claimed. CONTENT: (1) THE HEXAGONAL CHANNEL IDENTITY -- on the CM unit rho = e^{i pi/3} (CP.MOD.01) the E8 split 248 = 120 + 128 (E8.CHAN.01/v227) has an EXACT fiber realisation: sum_k rho^{d_k} = 4 rho (arg = pi/3 exactly; the degrees mod 6 are four 0s and four 2s, 1 + rho^2 = rho) and sum_k rho^{m_k} = 4 (arg = 0 exactly), with the parity typing forced by integer parity -- all degrees EVEN (phase channel SHEET-EVEN under the sheet flip rho -> rho^4 = -rho), all exponents ODD (magnitude channel SHEET-ODD); CONSEQUENCE: the sheet-even phase-channel angle cannot distinguish quark from lepton (it carries pi/3, not the CP.MU6.01 sheet split); mutation controls: the identity breaks on the non-CM unit e^{i pi/5} and on a mutated degree list (30 -> 31), reality breaks on a mutated exponent list (29 -> 30); HONEST CAVEAT wired as a check: reality of the exponent sum alone is NOT hexagon-specific (the exponent residues are conjugation-closed mod 10 too) -- only the degree half (= 4 rho) is; (2) ZERO PHASE IN THE MAGNITUDE DATA + THE BRANCH-ORDER LAW (the REDTEAM.D.01 narrowing): arg(prod c) = 0 EXACTLY on both TFPT sectors (lepton triple (16/7, 4/3, 7/6), product 32/9; up-quark triple (1/2, 34/41, 4/13)) -- the CP residual is not hidden in the product -- and the mu3 branch group is EXACTLY the kernel of the magnitude data because its order divides N_fam = 3 (w^{3j} = 1; a mu4 branch already shifts the product phase by -pi/2, mutation): the residual is a FIBER datum, not a magnitude datum; (3) TIER-1 EMPTINESS BY THE BLINDNESS THEOREM: both complex kernels commute with conjugation (conj sum rho^{d_k} = 4 conj rho exactly; Im det(1, d, conj(rho) n) = -Im det(1, d, rho n) exactly), so EVERY pi/3-carrier is kappa-odd and invariant + odd forces Im F = 0: strict invariance under all four T177 groups is EMPTY on pi/3-carriers, per algebra and as preregistered; (4) THE FRAME REMOVAL (the DUAL.FRAME.01 narrowing): det(1, d, n) = 21 = N_fam * scalaron and Im det(1, d, rho n) = 21 sin(pi/3) exactly (v225 rebuilt); the orientation functional is homogeneous of DEGREE +1 in the frame normalisation (Im det(1, d, rho(t n)) = t 21 sin(pi/3) symbolically), so the NUMBER 21 sin(pi/3) is FRAME data; dividing by the oriented volume removes the frame IDENTICALLY (Im(rho v)/v = Im rho symbolically for every real v != 0): the invariant core is the fiber datum Im(rho) = sin(pi/3), the sign a declared orientation; sheet control Im det(1, d, rho^4 n) = -21 sin(pi/3); mutation: n' = (5, -8, 6) gives det = 39/2 != 21; (5) THE TWO TIER-2 CHARACTERS + THE JARLSKOG ANCHOR: P2 = arg(sum rho^{d_k}) carries (chi(kappa), chi(sigma)) = (-1, +1) and V5 = Im(rho det)/det carries (-1, -1), both verified as character HOMOMORPHISMS on the full four-element group (16 products) -- TWO INEQUIVALENT invariants carry the same value pi/3 (the DEGENERATE verdict as algebra) and NEITHER couples to the frame; the classical anchor: the TFPT CKM rebuild (s12 = lambda_C, s23 = phi0/(1+lambda_C), s13 = lambda_C^3/3, frozen delta = pi/3 + 3 lambda_C^2 per REG.FREEZE.01) is unitary to 1.1e-41 and gives J = 3.327021e-5 = the v88 lattice value; J passes rephasing invariance (incl. the mu3 branch group) and CP-oddness and fails ONLY the pi/3-carrier test (its phase content is delta, not pi/3) -- the benchmark VALIDATES the criterion instead of the value, and the full delta has NO character under the parity involution (a CP-even correction on a CP-odd angle: the CP.MOD.01 scope narrowing). NAMED LIMITS AS LOAD-BEARING CONTENT: (i) NARROWINGS ONLY -- no marker of any pre-existing contract moves, the CP residual is NOT closed, the word 'derived' appears nowhere, REG.FREEZE.01 and the 3-vs-2 lambda_C^2 coefficient question are untouched; (ii) R1 STAYS OPEN: whether a frame-coupled, scale-free, character-covariant pi/3-carrier can exist at all (the T177 obstruction: the (1, d, n) frame has only ONE oriented volume to normalise against); R2 STAYS OPEN: which of the two Tier-2 characters is physical -- the sheet-odd (orientation) reading reproduces CP.MU6.01's quark/lepton split, the sheet-even (channel) reading cannot: a structural preference, NOT a derivation; (iii) the D4 deck column of T177 is a DECLARED MODEL and is not promoted (only the model-free statements are). HONEST FENCES: no RH statement anywhere (finite exact statements about roots of unity, 3x3 determinants and one 3x3 unitary matrix); Jarlskog 1985, Wolfenstein 1983, Weyl 1946 named CLASSICAL as addresses. Discovery: T177 (experiments/tfpt-discovery/cp_invariant_probe.py, 49/49, 0.2 s, verdict DEGENERATE). UPDATE (2026-07-30, T178/v564, CP.FIBER.PIN.01): R1 is DECIDED -- the natural (metric-free) class is fiber-only BY THEOREM (one bracket generator), the metric class couples but is NON-CANONICAL (a continuum of normaliser-relative values) -- and R2 is SELECTED conditional on the classical anchor (the Jarlskog character tuple (-1,-1,-1) matches the sheet-odd orientation class only); the single-sine lemma types this row's DEGENERATE verdict as FORCED on crystallographic fibers. Markers unchanged.

Recorded status: Identity [E] (exact identities and certified numerics with mutation controls -- the hexagonal channel identity sum rho^{d_k} = 4 rho / sum rho^{m_k} = 4 sympy-exact with the sheet-even/odd parity typing, arg(prod c) = 0 exactly on both magnitude sectors with the branch-order law, Tier-1 emptiness by the conjugation-commutation theorem, the frame removal Im(rho det)/det = Im rho exact with the degree +1 account, the two inequivalent Tier-2 characters as verified homomorphisms, and the Jarlskog anchor J = 3.327021e-5 = v88 at unitarity 1.1e-41) -- NARROWINGS of four existing ledger readings only; no marker moves; R1/R2 typed OPEN

Dependencies, status detail and source

Canonical status: [E] sum_k rho^{d_k} = 4 rho (arg = pi/3 exactly, sheet-EVEN) and sum_k rho^{m_k} = 4 (arg = 0 exactly, sheet-ODD) on the hexagonal CM unit -- the E8 channel typing has an exact fiber realisation and the phase channel is sheet-blind; arg(prod c) = 0 exactly on both TFPT sectors (the CP residual is a FIBER datum, not a magnitude datum); Tier-1 invariance EMPTY per algebra (every pi/3-carrier is kappa-odd); Im(rho det)/det = Im rho = sin(pi/3) exactly (the orientation reading is degree +1 in the frame normalisation, 21 sin(pi/3) is frame data, the sign a declared orientation); two inequivalent Tier-2 characters (-1,+1) vs (-1,-1) carry the same pi/3 (DEGENERATE), neither frame-coupled; Jarlskog anchor J = 3.327021e-5 = v88 passes (a)-(c), fails only the pi/3-carrier test. Four ledger rows narrowed, no marker moves; R1/R2 OPEN.

Dependencies: REDTEAM.D.01; E8.CHAN.01; CP.MOD.01; DUAL.FRAME.01; CP.MU6.01; FLAV.CP.01; REG.FREEZE.01; v88; v220; v225; v227; T177

Scripts: v561_cp_channel_identities.py

Location: tfpt_5_redteam

Original CSV, line 602

Original ledger status

CP.FIBER.PIN.01

CP.FIBER.PIN.01

THE FRAME DOOR OF THE CP MIRROR, DECIDED (2026-07-30; T178, contract FRAME.CARRIER, probe cp_frame_carrier_probe.py 31/31, verdict FIBER-PINNED; one module, 22 checks, ~2 s, sympy-exact generic-frame algebra + one 3x3 unitary matrix at 40 dps). T177/v561 left R1 (can a frame-coupled, scale-free, character-covariant pi/3-carrier exist at all) and R2 (which of the two degenerate Tier-2 characters is physical) open; both are decided here, and NOTHING about CP violation is derived. (1) EULER FACTORISATION: the fiber acts on the frame by a scalar on the n-row, so P(rho n) = rho^m P(n) for every homogeneous block (fully generic degree 1..4 polynomials, symbolic coefficients): every scale-free functional decomposes as sum_k A_k Im(rho^k) with A_k real degree-0 frame ratios -- the fiber content is QUANTISED. (2) THE NATURAL CLASS IS FIBER-ONLY (R1, natural half, NEGATIVE BY THEOREM): metric-free invariants of vector tuples are generated by volume-form brackets (Weyl 1946 FFT, the one cited class boundary [C]); the exact enumeration on {1, d, n} gives ONE generator (the six permutations = +-Delta; the other 21 brackets vanish identically in a GENERIC n), so every scale-free ratio is constant: no frame-coupled scale-free pi/3-carrier exists without a metric -- T177's obstruction sentence ('one determinant only') is now a theorem. (3) THE METRIC DOOR IS NON-CANONICAL (R1, metric half): declared metrics admit frame-coupled Tier-2 carriers, non-unique at BOTH levels -- characters: Delta/<d,n> and Delta/<1,n> carry (kappa, sigma, deck-Ref) = (-1,-1,+1) (the odd Delta-power absorbs the reflection) while Delta^2/<n,n> carries (-1,-1,-1); values: the admissible normalisers contain the continuum q_t = t n1^2 + n2^2 + n3^2 (deck-invariant for EVERY t) with carrier values 441 sin(pi/3)/(25t+117), strictly monotone in t -- NO canonical frame factor exists; anti-numerology wired as a check (21/8, 21/2, 441/142 pairwise distinct, none claimed -- normaliser-relative frame data). (4) THE SINGLE-SINE LEMMA (the pattern): {|Im(rho_n^k)|} has exactly ONE nonzero element iff n is crystallographic (n in {1,2,3,4,6} = {n : phi(n) <= 2}; Barlow 1894), by the exact identity sin(4pi/n) - sin(2pi/n) = 2 sin(pi/n) cos(3pi/n) with its only zero at n = 6 on n >= 5, enumerated exactly to n = 24; the compiler's two clocks mu4 (seam deck, j = 1728) and mu6 (CP fiber, j = 0) are the two MAXIMAL single-sine fibers (the two CM points with extra automorphisms): value-based pinning of functionals is impossible BY THEOREM on both -- T177's DEGENERATE verdict was FORCED, not found (mutation: on mu5 values DO separate carriers). (5) THE ANCHOR SELECTION (R2, SELECTED): the Jarlskog invariant on the TFPT CKM rebuild (v88, frozen delta per REG.FREEZE.01) has full character tuple (-1,-1,-1) under (kappa = conjugation, sigma = delta -> delta+pi, deck reflection V -> V Ref), each certified at 40 dps below 1e-25: it matches the sheet-ODD orientation class V5 = (-1,-1,-1) and NOT the sheet-even channel class P2 = (-1,+1,-1) -- of T177's two degenerate classes exactly ONE matches; the (-1,-1,+1) metric carriers are ANCHOR-REJECTED and the matching (-1,-1,-1) family carries the continuum, so the UNIQUE anchor-matching CANONICAL carrier is the fiber-pure V5 = Im(rho) = sin(pi/3); consistency: Im(rho^4) = -Im(rho) flips exactly as sin(delta+pi) = -sin(delta) (the CP.MU6.01 wiring). NAMED LIMITS AS CONTENT: the selection is CONDITIONAL ON THE ANCHOR (Jarlskog 1985 is imported physics -- SELECTED, not derived; the word 'derived' appears nowhere); the deck-reflection column is the T177 DECLARED MODEL (kappa/sigma model-free); the CP residual is NOT closed, it is RELOCATED with a proof: the invariant CP core is the fiber datum Im(rho) = sin(pi/3) and provably cannot be made frame data without a non-canonical metric import; REG.FREEZE.01 and the 3-vs-2 lambda_C^2 question untouched; NO marker of any pre-existing contract moves; NO RH statement (finite exact statements about roots of unity, 3x3 determinants, one 3x3 unitary matrix and one trigonometric identity).

Recorded status: Identity [E] (exact theorems and certified character accounts with mutation controls -- Euler factorisation on fully generic homogeneous blocks, the one-generator bracket enumeration, the character split and the q_t continuum, the single-sine lemma with the crystallographic equivalence, the anchor tuple at 40 dps) + [C] (the Weyl 1946 FFT class boundary; the selection conditional on the Jarlskog anchor; the deck column a declared model); R1 decided, R2 selected, no marker moves

Dependencies, status detail and source

Canonical status: [E] natural class fiber-only (6 brackets = +-Delta, 21 vanish identically; generic degree 1..4 Euler factorisation exact); metric door non-canonical (character split (-1,-1,+1) vs (-1,-1,-1); continuum 441 sin(pi/3)/(25t+117)); single-sine <=> n in {1,2,3,4,6} = phi(n) <= 2 (identity + enumeration to 24); anchor tuple (-1,-1,-1) selects sheet-odd, J = 3.327021e-5 = v88; unique canonical anchor-matching carrier = fiber-pure sin(pi/3); 22/22 checks

Dependencies: CP.CHANNEL.IDENT.01; REDTEAM.D.01; E8.CHAN.01; CP.MOD.01; DUAL.FRAME.01; CP.MU6.01; REG.FREEZE.01; v88; v225; v561; T177; T178

Scripts: v564_cp_fiber_pin.py

Location: tfpt_5_redteam

Original CSV, line 603

Original ledger status

META.DISCIPLINE.01

META.DISCIPLINE.01

The discipline audit (one module, 17 checks, ~200 s; discovery probe discipline_audit_probe.py 17/17, verdict DISCIPLINE-MEASURED). The suite parses ITSELF and freezes its process-discipline metrics as minimum bars. [E] D1 LEDGER CENSUS: 715 rows / 710 active (display classes E/C/O/X/AXIOM/OTHER = 169/222/282/37/2/3 at freeze), and 214 rows documenting kills / honest negatives / ill-posed retirements / retypes (keyword census over claim + canonical_status) -- a project that documents its own buried hypotheses is not a confirmation-bias generator. [E] D2 MUST-FAIL CENSUS: 643 modules (every one carries checks), 6040 static check() call sites (clears the published 5452 counter), 1469 must-fail/kill/scramble keyword occurrences across 233 modules, typing marks [E] x 3579 vs [C] x 1323 -- negative controls are corpus-wide, not decorative. [E] D3 PRE-REGISTRATION CENSUS: 47 contract rows in the ledger (29 naming kill criteria BEFORE execution; 20 mentions in the contracts paper); executed chains verified in the ledger: FTR.PGL2.01 (v533 -> executed v632), PRIME.WEIL.OPERATOR.01 (kill tests K1-K3 named -> W1 theorem-closed v643), REG.FREEZE.01 (registry frozen 2026-06-09, re-derived each run by v84). [E] D4 REPRODUCIBILITY: deterministic replay 12/12 on the DECLARED sample v55/v91/v108/v205/v305/v405/v505/v555/v600/v634/v643/v648 (two fresh subprocess runs each, identical output up to timing lines); 396 modules sympy-exact, 77 with explicit seeds. [E] D5 EXTERNAL ANCHORS: five classical results recomputed here against the literature the suite quotes -- Jacobi 1834 four-square counts (exact, n = 1..40), Construction A [8,4,4] -> E8 with 240 minimal vectors, the Shephard-Todd G31 degrees (8,12,20,24), the Suzuki archimedean constants psi(1/4)/L/A to 25+ digits, and the completed-zeta functional equation (worst rel dev 3e-31). [E] D6 LEAN LAYER: 54 committed TfptCarrier proof modules (git ls-files; uncommitted sandbox WIP excluded); lake build honestly NOT re-run in-suite (last green build quoted: 3380 jobs, no sorry). [C] D7 THE LIMIT, honest: this module measures PROCESS discipline, NOT the truth of the physics; typed [C] observations stay observations; the open gates stay open (278 class-O rows incl. SEAM.THEOREM.01, PRIME.WEIL.OPERATOR.01 W2-W4, the QGEO premise family and the GATE.METRIC family); a discipline certificate is a necessary, not a sufficient, condition against numerology. Read-only; no marker moves.

Recorded status: Exact [E] machine census + deterministic replay + external anchor recomputes + [C] typed limit (read-only meta-module; Python-only per GATE.WOLFRAM.02).

Dependencies, status detail and source

Canonical status: DISCIPLINE-CERTIFIED: frozen minimum bars -- 214 kill/negative rows, 1469 negative-control occurrences in 233 of 643 modules, 47 contract rows (29 with named kill criteria; FTR.PGL2 and the W1 chain verified as executed), replay 12/12 deterministic, 5 classical anchors recomputed, 54 committed Lean modules; the limit typed [C]: process discipline, not physics truth -- the open gates stay open.

Dependencies: REG.FREEZE.01; FTR.PGL2.01; PRIME.WEIL.OPERATOR.01; AUDIT.NULLMC.01; v84; v100

Scripts: v649_discipline_audit.py

Location: tfpt_3

Original CSV, line 652

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 closure for fixed inputs

Which closure equation follows for a fixed seam projector, and which inputs still need justification?

  • Resolved in scope: Separate root calculation from source selectionRead result
  • open: Derive alpha inputs and Thomson transfer
  • 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?