Excluded in the stated class
finding:r102-function-differential-and-source-form-countercontrols
V=H0O(D) has dimension5,modulo constants4;H0K(D) has dimension3. Short exact sequence C→V5→U3 fails. f dz=dz/(z−1) has residues1and−1 including infinity. Clifford evaluation alone selects no positive physical norm. Gemini's new DtN form hasq(1,1)=0 and is not strictly positive onV5. the reviewed source's alleged necessary commutation for even/odd D splitting fails on an explicit2x2counterexample. Retain originals and conditional whole-metric theorem.
Scope: Only specified identifications excluded,not original S/Z/OS/Gamma source. ItsRP does not extend automatically to newly chosen forms. Existing metric rigidity uses integral UNIMODULAR completion;do not combine it circularly withR102 into a premise-free proof. Do not freely add CAR or metric repairs.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2
Non-scientific attribution omitted from public display.
Established within the stated premises
finding:r102-actual-ai-search-corrects-prediction-not-whole-source-hypothesis
Existing search now has six fixed checkers;current qwen3.6:35b run executed both new checkers in each of two valid rounds. First round confused function quotient with differential space;exact feedback corrected the predicted boolean in second. The broad hypothesis remained identical and its shared actual field-insertion claim is unproved. Originalv983 text was included in retrieval. Twelve targeted regressions passed. Two current rounds each read fromThe reviewed/Gemini,one completethe reviewed source round;secondthe reviewed source response failed after visible prompt delivery.
Scope: Executed software/review,not full automatic physics adjudication or fundamental completion. Schema success,knownIDs,correct controls do not prove a whole hypothesis. Do not count byte-identical mechanism as new idea.707sources statically read,not a fresh fullsuite/Lean/physicalvalidation. Models confirmed the independently derived class proof;their newly posited source identifications were not adopted. R103 extends the live driver; historical run metadata retain their original code hashes. Original six checker mappings were reviewed and retained by targeted regressions; no fresh R101/R102 model replay is claimed.
Required premises and original source excerpts
- AI proposals with static original-source inventory and curated controls
Current registry/ledger/Atlas and statically read original scripts serve retrieval. The installed local Ollama client proposes structured hypotheses and explicit predictions for fixed curated checkers. Only named consequences are computed and fed back. Known source IDs, schema validity and passed controls do not prove a whole hypothesis or physical origin.
premise:source-indexed-origin-ai-with-curated-inference-controls - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures
Non-scientific attribution omitted from public display.
Excluded in the stated class
finding:r103-even-matter-word-inventory-cannot-generate-bosonic-spinor-current
In the expressly supplied word inventory all primitives have equal Grassmann and z² parity. Generated tags are {(0,0),(1,1)} at every word length; the even algebra is z² even whereas a bosonic E8(16,4) current is z² odd. Equivariant products,adjoints,derivatives and appropriate closed fixed algebras cannot generate it. This sharpens the existing complex S+ matter-versus-D5_1 spin-field distinction; native v252/v1 controls were executed. A new field/sector outside this inventory is not excluded.
Scope: Conditional all-word obstruction for the same action/carrier contract,not a global P1 no-go or claim that all master bosons are tensorial. The Spin action on96 is a transported input,not newly derived by commuting a scalar matrix. gamma_F is not Grassmann parity. Preserve existing E8 sources and the marked minimal-extension theorem.
Required premises and original source excerpts
- Explicit Grassmann spinor and tensor-boson word inventory
Consider only the jointly Spin10-typed local word algebra generated by Grassmann spinors S±,tensorial bosons and equivariant word operations. Physical Grassmann parity and central square are distinct automorphisms that agree on this inventory. Do not assert that the entire original P1 master has only this inventory. New sectors,field types and domain changes require their actual original map.
premise:r103-grassmann-spinor-tensor-word-inventory - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures
Established within the stated premises
finding:r103-ai-source-expression-is-checked-separately-from-prediction-matches
The real two-round AI run matched three control answers but still asserted an unproved scalar quarter-current origin. The existing driver now requires a bounded JSON operator expression. Neutral current words are excluded within the declared inventory; internal Clifford vectors as local fields are type errors; proposed sectors retain unverified original binding and are overapproximated by all four possible tags. The actual first expression J*J+derivativeJ is excluded; the second named sector requires original binding. Independent review found and fixed false exclusion of unknown-sector times spinor and a misleading typing-error counter;16 targeted tests passed. The final new model run produced two rejected answers,no valid proposal. The two older concrete expressions were separately replayed with final code and explicitly labelled replay.
Scope: Nine curated fixed checks overall,three relevant new source checks. No arbitrary generated-code execution,automatic scientific promotion or billions claim. Bounded operator grammar only; new mechanisms require original-source review.707 sources were statically indexed,not newly proved. Two current replies from each of The reviewed,Gemini,the reviewed source were read; unsupported origin claims were not adopted. F1 remains in progress.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - AI proposals with static original-source inventory and curated controls
Current registry/ledger/Atlas and statically read original scripts serve retrieval. The installed local Ollama client proposes structured hypotheses and explicit predictions for fixed curated checkers. Only named consequences are computed and fed back. Known source IDs, schema validity and passed controls do not prove a whole hypothesis or physical origin.
premise:source-indexed-origin-ai-with-curated-inference-controls - Explicit Grassmann spinor and tensor-boson word inventory
Consider only the jointly Spin10-typed local word algebra generated by Grassmann spinors S±,tensorial bosons and equivariant word operations. Physical Grassmann parity and central square are distinct automorphisms that agree on this inventory. Do not assert that the entire original P1 master has only this inventory. New sectors,field types and domain changes require their actual original map.
premise:r103-grassmann-spinor-tensor-word-inventory
Non-scientific attribution omitted from public display.
Established within the stated premises
finding:original-p1-is-structured-kernel-and-not-c3-alone
Active Architecture001:68-109 declares P1 as a primitive reflection-positive kernel on an oriented seam with unit winding and separates P2_interface from P2_algebra. Source45 Boundary002:100-249 supplies local net,time,reflection,RP/clustering state and collar generator as operational seed; its OS/collar consequences already exist. Requiring this entire source anew from c3 alone strengthens the declared starting axioms.
Scope: Source/target-scope correction. The operational seed contains omega; the smaller geometric ten-tuple introduces no independent vacuum datum. Do not silently identify these data packages; no assumption-free generation of the world is established.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2
Established within the stated premises
finding:original-common-action-os-and-1pi-chain-already-exists
The old45 version contains the common chain boundary kernel→carrier/Padm→Sadm/Zrel→full field moments→OS/CAR net,Omega,positive time→same Gamma_ren→physical poles,residues,mixings and cosmology branches. QFT007:1-372 defines Wk from the same Sadm, its Legendre transform, exact flow and1PI readout hierarchy. QFT008:215-255 contains the OS/CAR theorem under named RP,temperedness,covariance,grading and clustering conditions. The shared source is not a new auxiliary model to invent; Hilbert representation,state and time are joint relative reconstruction consequences.
Scope: Corpus reconstruction, not new full analytic validation of measure/blocking/moment/limit conditions. The current96 modular/KMS assembly exists with its expressly conditional C_F/P_F/C_Sigma identification. The common existence architecture must neither disappear as missing nor become fully physically proved merely by defining an IR limit.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2
Established within the stated premises
finding:optional-car-native-clock-route-is-not-global-tfpt-origin-prerequisite
L20261102B and R100 concern one given eightfold CAR quotient source, native clock chart and source time. Their conditional lattice,DHR,normalization and time-response results retain their stated validity. This chat wrongly promoted that route to the mandatory next origin step of all TFPT. The original relative spectral source already has its own S/Z/Gamma/OS path. An internal algebraic clock theorem does not additionally require active physical gate preparation. The global necessity claim is withdrawn and the next F1 wording is corrected to the current source-identification question.
Scope: Correction of our priority/inference, not a retraction of conditional mathematics or a blanket removal of instruments where an active operation is actually claimed. Preserve existing owners,processes and source-time results. No claim of complete TOE.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2
Non-scientific attribution omitted from public display.
Established within the stated premises
finding:existing-flavor-gravity-frw-and-later-closures-must-be-reused-in-scope
Original sources connect flavor through holonomy/structural kernel and Higgs,gauge,Einstein,R² andFRW through the same relative action/residue and1PI path. Later D4/v117 and charged-MMST Green/graph results replace earlier residual wording in their scopes. CMB v4.11/12 reports a later official spectrum-likelihood pass; the adjacent map is ModeA with random phases, not automatically a ModeE record-word execution. Stronger old closure claims retain their concrete branch conditions and declared dimensional anchors. These existing relative derivations must not be downgraded to independent missing physics sectors.
Scope: Targeted source-reviewed reconciliation. No new CMB run, no complete measure construction inferred from filenames, no deletion of original hypotheses, and no full proof validation of all screened sections.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2
Established within the stated premises
finding:original-variable-background-local-force-has-uniform-entire-source
The extra constantH premise ofR080 is removed. Existing pointwise operator has weak{h,F}=−i gamma partialthetaF+{V,F}; time integration gives bounded2hA_F=integral conjugated(B_F+i partialtF). FixedD0 resolvent isS2, yielding an explicit uniformS2 bound over boundedV families. Existing det2 with trace correction and strongGNS lift then give the same full local space/time source family. LogMGF<=s² exp(|s|normA)normA_S2²/2 controls single-reader moments; complex multiword analyticity and Cauchy give all ordered response coefficients. Re-evolved Galerkinh_N has the sameS2 limit.59 native original96/quark36 controls pass with−OO; two independent analytic reviews.
Scope: Concrete application of the existing original local source reader,not a further global CAR-origin requirement. Same stipulated circle and original oneform/state rule/time. C_h is each background given conditional rule,not unchangedC_ref or anH measure. Uniformity requires a boundedV family. NoK(F)=H(F),full originalS/Z source identification,absoluteZ0 derivation,3+1/TOE/Lean or ledger promotion.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Existing pointwise source family with variable background
Given original circle h=gamma(-i partialtheta+alpha)+V(theta),fixedH1domain andalpha1/4or3/4,existing pointwise oneform and Hermitian gamma-odd test insertionsF. V is bounded Hermitian. Retain existing conditional CAR ruleC_h=expit(2ell h),ell>0 and each original h time; no physical identification with the full primitive P1 source is assumed.
premise:original-pointwise-local-force-family-with-variable-bounded-background
Established within the stated premises
finding:original-whole-graph-has-full-paired-dyson-and-polar-source-completion
D extends to actual time ordering: W−I=−iA and2hA=int(B_I+i dotF_I+F_I²)W,with boundedprefix boundary term. Fixed resolvent givesW−I inS2; Galerkin strong convergence and normal left/right tails giveS2 limit. Whole coherent graphP has invertible compression andchi=sqrt det_F(I−B*B)>0,B=(I−P)diag(W,W)P. Genuine finiteSlater representation proves positive history kernel; all mixedCAR minors are retained. ActualoddHiggs pulse hasdetW=1. For existing general normalgraphK its unique polarV supplies specified second paired operationV W V*,without newphase/state/metric. UntransportedsecondW is a different word.46 native controls and16+256 independentexteriorwords pass; two analytic reviews.
Scope: Complete mathematical PAIRED reader of the given original graph class. Not an unpaired amplitude substitute,absoluteZ0 or primitiveH/geometry selection,or identification of simultaneousface time with positiveOS H. Polar operation is specified and derived,not automatically pointlocal; actual consumer must retain dV/support. No newglobalCARorigin requirement,4D/TOE or ledgerpromotion.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Existing pointwise source family with variable background
Given original circle h=gamma(-i partialtheta+alpha)+V(theta),fixedH1domain andalpha1/4or3/4,existing pointwise oneform and Hermitian gamma-odd test insertionsF. V is bounded Hermitian. Retain existing conditional CAR ruleC_h=expit(2ell h),ell>0 and each original h time; no physical identification with the full primitive P1 source is assumed.
premise:original-pointwise-local-force-family-with-variable-bounded-background - Whole original graph with specified polar paired operation
Existing original circle h=gammaD0+V,stationary whole graph ofK=exp(-ellh),local odd smooth Dyson insertion. GeneralK is closed,densely defined,injective with dense range; K=V_K|K| and the specified paired operation isdiag(W,V_KWV_K*). Do not automatically identify it with a different localS/Z insertion.
premise:given-full-graph-with-its-specified-polar-paired-operation
Established within the stated premises
finding:original-ground-zero-family-has-explicit-whole-quench-amplitude
Same original radial quark family has unpairedholechartfactor exp(iT(Ee−E0))det(I−C+C exp(iTh0)exp(−iThe)); phase follows existingpositiveground0Hamiltonians. Exactlyr_p=1+delta_p(exp(2iTEe)−1)/2,delta_p<=eps²s²/(2p²),thermalerror<=4exp(−2ell|p|). Wholeamplitude converges absolutely,uniformallT/epscompact; everyfixedfinitehistory hasstrongunitary/adjointlimits. Raw linear-centeredDysonphase has−i eps²sigma²||f||²logN,sigma²=3Tr(Yu*Yu+Yd*Yd); oldUVcause reused.16nativechecks and independentexactreview confirm amplitude.
Scope: Explicitwholemode/finitehistory evaluation of alreadyexistingHamiltonfamily,not reinvention of implementability. Explicit hole/negative-sea phase transport. Ground0excitation doesnoterase originalLambda/Ref/Eta/Z0. No generalhistorymeshlimit or unprovedtimemoments,Hlaw/primitiveS/Z/physicalOS/4D/TOE or ledgerpromotion.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original quark Hamiltonfamily with explicit ground-zero hole chart
Given original constant radialv252 Higgs family with fixedYukawas,quark36 and bothquarters. C+=expit(2ellh) is normal in the positive-filled hole chart. Existing positive excitation ruleK(h)=E-dGamma(h),ground0; opposite chart/adjoint reverses phases. Full geometricLambda/Ref/Eta/Z0 is not replaced by excitation normalization.
premise:original-quark-hamiltonian-family-with-explicit-ground-zero-hole-chart
Established within the stated premises
finding:original-bare-primitive-effective-and-master-action-types-are-distinct
Boundary001:302–315 defines S_prim as the relative spectral seed and introduces gauge fixing, ghosts and boson fluctuations later. QFT007:5–29 uses S_adm as the bare field-integral input; 119–142 constructs Gamma with loop corrections. Master M already contains −log Z_rel and further named terms. These objects are not identical without the original maps. Reference normalization does not imply Z_rel[0]=1. The fully reviewed current v258/v259/v255/v261 path produces no D_ref[b]/Z_ref[b;0] family. The older D_ref=(D+tau D tau)/2 remains a genuine scoped geometric producer. This is not a repository-wide absence proof.
Scope: Original types and reviewed call-path coverage. Preserve the existing common S/Z/OS/Gamma architecture. The full source application has not been executed here; a symbolic weight ratio is not a fundamental solution. No new global reference or measure choice and no physical promotion.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2 - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures
Established within the stated premises
finding:whole-joint-source-fixes-integrated-weights-and-relative-scalar-via-original-ratio
Correct this chat’s global framing: a conditional CAR reader loses its unnormalized scalar, whereas a complete joint source includes the weights of its actually integrated boson fields. Equal expectations of all bounded words after positive weighting q(b) force q to be constant almost everywhere; external background families require separate treatment. On the same original integration basis with the actual weights, Z_rel[F]=omega_ref(w_ref^-1 w_adm F), or omega_adm(F)/omega_adm(w_adm^-1 w_ref). Insertions and the null-source factor are thereby fixed together, without another free measure. Reuse existing R080 reweighting. Do not automatically set R=exp(−S_prim), whose spectral reference is already subtracted. Proper-time nu_star and geometric base nu_Vn are different inputs.
Scope: Identity under the actual common basis, integrability, phase branch and field list. Abstract noncommutative functionals are not automatically positive states; quantum statistics retains its original ordering rule. The whole physical weight R has not been evaluated. D/E remain valid conditional readers; their limits imply neither a new free global source nor complete TFPT closure.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2 - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures
Established within the stated premises
finding:original-bound-reference-and-whole-source-commute-with-full-carrier-chart
Existing full U=(E,NE) carries D and D_ref to mathfrakD_h and mathfrakD_href on the transported original domain. Actual R032 S/T lifts give Phi_ref,S=L(m), Phi_ref,T=L(p)+D_M with actual H_tau. Reflection,grading,antilinear J and reference jets travel together. The same complete R003 odd reader yields R_ref=-2ell mu i gamma Phi_ref and reconstructs the whole reference graph with retained A,ell,mu. Extended by identity on all other original fields, U transports the WHOLE supplied S/Z caller, Berezin operation,boson weights,reference denominator,eta and source jets exactly at every compatible regulator. A separate Gibbs-reference-state rewrite is optional, not a global requirement. Primitive eta stays the declared relative eta; no universal eta(T) identification.
Scope: Whole existing source class and representation identity, not selection of a new physical origin. Full mathfrakD_h has derivatives and domains; finite Phi reader is not the same spectral operator. v259 profile moments and v255 coefficients retain their supplied4D/IR map. No equality of different historical actions, new global PF/measure requirement, or existence proof for a previously unconstructed source limit. Twenty independent exact96 controls and analytic reviews; F1 and physical total closure remain open.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2 - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original product collar with actual bound reference and whole source
Given original collar D=N(partial_r+B), B=ZA-SPhi, S=NZ, Phi=L(H)+D_M Hermitian gamma odd and selfadjoint gamma-even A. Existing fixed E and U=(E,NE), original domain and actually supplied tau lift with bound D_ref. Explicit formulas use existing R032 S/T lifts. A whole original S/Z caller with its actual fields, measures, sources, constraints and reference is supplied; copying it posits no new source. R003 autonomous logodds only in its stated product class; general K stays ordered.
premise:original-product-collar-with-actual-bound-reference-and-whole-source
- experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE-SOURCE-COMPLETION.txt, lines 1–165
Source SHA256: 5ddc9c63c5f20f42befba6ae32fc57fdecb61c4b70dd9ab2d7b26fe667380cbb
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/PAIR-TYPING.txt, lines 1–200
Source SHA256: ff91e3075261d7381b594789ecc19de46770872d6530dff9714de40ba065b13e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/PAIR-TYPING.txt, lines 201–303
Source SHA256: ff91e3075261d7381b594789ecc19de46770872d6530dff9714de40ba065b13e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/FUNCTOR.txt, lines 1–200
Source SHA256: c1a42fe05bf60fcd4a80d4039bde520fede2e301f2e2f1515a48be8140c644e5
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/FUNCTOR.txt, lines 201–314
Source SHA256: c1a42fe05bf60fcd4a80d4039bde520fede2e301f2e2f1515a48be8140c644e5
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/FULL-FUNCTOR-REVIEW.txt, lines 1–200
Source SHA256: 81b0c0588236e02ded5d3893abcd804674ccc0b90d14fd589c977f9a606cc94e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/FULL-FUNCTOR-REVIEW.txt, lines 201–255
Source SHA256: 81b0c0588236e02ded5d3893abcd804674ccc0b90d14fd589c977f9a606cc94e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE-TRANSPORT-REVIEW.txt, lines 1–62
Source SHA256: 0f6fabb5a7f1d6f39460bb7516b7e1ee1f070632f77200267a4383f1232c409e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/check_functor.py, lines 1–90
Source SHA256: 865e801e07f02b7977494b6af2559953cfae8baab1a65f90e887564eb9582ec7
bounded-sanitized-excerpt · current-at-snapshot · 1 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/FUNCTOR-check.json, lines 1–30
Source SHA256: 96a86192e72ea1cf7dd7270f3ac4b9236743cf6ab966d77cb60a930785fe1750
bounded-sanitized-excerpt · current-at-snapshot · 1 administrative lines explicitly omitted
Established within the stated premises
finding:original-gauge-quotient-needs-no-new-physical-gauge-fixing-choice
Originals supply Delta_gh=K*K, BRST/Hodge projector and Q_geo as quotient of diffeomorphisms and local frames. Under the actual Ward premise, BRST-closed physical source words satisfy partial_t I_t(F)=-I_t(s(dotPsi_t F))=0 when S_t=S_inv+sPsi_t. Whole physical source response and corresponding bound reference quotient are independent of this representation choice. An undisplayed gauge fermion is no evidence of an additional unselected physical coupling. Individual background-dependent ghost determinants need not cancel pointwise.
Scope: Conditional application of original quotient and Ward identity. No new global gauge slice, anomaly or nonperturbative measure theorem. Gauge-variant elementary sources and off-shell Gamma are not generally gauge independent. Direct U transport instead preserves all supplied legs in the same supplied gauge. No new physical interaction or fundamental total closure.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2 - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original geometric BRST quotient and valid Ward caller
Actual original geometric BRST/Hodge quotient with Delta_gh=K*K. Its legitimate original caller satisfies the stated measure,domain,regulator and APS/eta anomaly conditions and Ward identity I(sO)=0. Gauge-fixed representation S_t=S_inv+sPsi_t uses the same integration basis; physical source words considered are BRST closed. A merely formal nilpotent operator does not establish these hypotheses.
premise:original-geometric-brst-quotient-and-valid-ward-caller
Established within the stated premises
finding:original-seed-master-has-explicit-geometric-package-and-whole-action-realization
tfpt42 BigPicture002:73–110 and tfpt31 Guide:205–241 define A_Sigma,seed=B_rel directsum nabla_chiseed as an organizing package and explicitly name its geometric reorganization. tfpt31 Bridge007:44–126 gives operative K_sigma=exp(−sigma/2)D_geo exp(−sigma/2)+B_rel and the whole profile-trace pair action with D_ref/Lambda. Later42/45 reads the same K_sigma using Res/FP. On the same actually represented original operator/domain class, full U gives exactly K_sigma^U=exp(−sigma/2)mathfrakD_h exp(−sigma/2)+B_rel^U and bound mathfrakD_href; the whole supplied S/Z follows by established full transport. This concretely applies the existing geometric map, not a new global IR gap. A_Sigma is not generally a bounded one-form. At constant sigma only the numerator may be rewritten using chigeo; the printed reference stays D_ref/Lambda.
Scope: Source-version correction and exact application within the given common operator realization. Does not derive the geometric Dirac-type premise or a4D field space from the circle. Organizing package route is not a universal literal operator equality for every historical D_rel. Profile trace and Res/FP remain distinct functionals; reuse R044/R045 and their4D product hypotheses. Current SM010:273–318 explicitly keeps real4D interacting source conditional and retains continuum premises; no physical total or ledger promotion.
Required premises and original source excerpts
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
premise:declared-p1-p2 - Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original product collar with actual bound reference and whole source
Given original collar D=N(partial_r+B), B=ZA-SPhi, S=NZ, Phi=L(H)+D_M Hermitian gamma odd and selfadjoint gamma-even A. Existing fixed E and U=(E,NE), original domain and actually supplied tau lift with bound D_ref. Explicit formulas use existing R032 S/T lifts. A whole original S/Z caller with its actual fields, measures, sources, constraints and reference is supplied; copying it posits no new source. R003 autonomous logodds only in its stated product class; general K stays ordered.
premise:original-product-collar-with-actual-bound-reference-and-whole-source
Established within the stated premises
finding:r110-consolidated-source-results-and-atlas-provenance-audit
R110 reconciles marked3/5,E8/clocks/flavor/alpha,the existing whole S/Z/OS/Gamma chain and G/H/I/J/K. No new global source or vacuum choice is required. Completed internal sixteen-mode W map is distinct from original spatial field/time map;exact DET16 is a candidate,not a universal TFPT requirement. R109 nonzero joint environment transfer does not compute primitive H_adm. Initial direct audit of24 problems/764 findings/3593 source references over1480 files found no hash,line-range or internal-reference errors. Separate import check found43 stale records and2 missing contracts;documented first offline refresh and recheck fixed both,with MCP retrieval of both contracts. These different audit scopes remain explicit.52 completed F1 tasks retain their stated scopes. No new physical completion or full proof certification. Concurrent L20261103L is retained: whole given classical Clifford field/time map and transfer are evaluated. Whole heat-trace proof excludes an exactly separated flatDET16 factor under all unitary field changes of the UNPROJECTED free positive source. Actual projection and dynamic bosons lie outside that exclusion. Next concrete task is the original full fermion/Berezin caller with Padm and boson weight on the existing field map;do not reopen that map. Incremental session audit M at entry768 findings:semantic consistency of28 complete relevant findings and26 premises reviewed;session artifacts,copies and source bindings mapped. K summary corrected to i!=j and diagonal differences/original scalar;original proof was correct. Latest constant L block review bound in existing contract/finding;remaining broad52 physical completions wording corrected to scoped tasks. No new research branch. The own old v330 three-state source is completely evaluated by K(t)=P0+(64/729)^t P2+(1/729)^t P3 and all its D words;the four-point word reads the third channel. This existing separate native caller is neither the Clifford source nor S_adm. Direct source bindings added,no new master source claimed.
Scope: Consolidation of existing source-reviewed results and technical provenance/reference audit. Not a fresh semantic proof of all764 findings,not a full Lean/Wolfram/Python run or empirical global fit. Live priority remains progress.next_task F1. Source freshness and graph coverage do not prove mathematical or physical completeness. Final freshness check after registering R110 is recorded separately in maintenance evidence. M is incremental session provenance/consistency review,not a new semantic proof of all768 findings. Historical baseline764 and entry count768 are distinct snapshots. Native three-state source strictly retains its own field/time scope.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures
- docs/research/fundamental-plan/CONSOLIDATION-R110-20261103.md, lines 1–77
Source SHA256: a8442b788a3ee7a29aa2cc6a254890d73c79e670b4c9843bab5b002eb652b782
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/R110-ATLAS-AUDIT-BASELINE.json, lines 1–121
Source SHA256: 5ac5abeea748631eb55e87d74a22d32f869916e3021af1410402e9b88e90c8f4
bounded-sanitized-excerpt · current-at-snapshot · 2 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/LARGER-CHARGED-SOURCE-EVALUATION.txt, lines 1–199
Source SHA256: 619770b19de23f7b8debd9cd071b9b54df2e5ae60d96c1fa06292720a9f97596
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/L-URTEIL.txt, lines 1–177
Source SHA256: f15a538920e693e55bd42afce4dbb0c581384e0338c503b7f3f6c8b280ca525c
bounded-excerpt · current-at-snapshot
- docs/research/fundamental-plan/CONSOLIDATION-SESSION-20261103.md, lines 1–74
Source SHA256: f3e06d0bb4cdef28c720a9a8601bc0760413c0334140dcdd49b8d95f49ab4044
bounded-sanitized-excerpt · current-at-snapshot · 1 administrative lines explicitly omitted
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-SCIENTIFIC-CONSISTENCY.txt, lines 1–200
Source SHA256: 1e67c470480027b1b3b43a11b3d8ae020e6f6e580d66f22b79ccfe549eacb21e
bounded-sanitized-excerpt · current-at-snapshot · 6 administrative lines explicitly omitted
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-SCIENTIFIC-CONSISTENCY.txt, lines 201–272
Source SHA256: 1e67c470480027b1b3b43a11b3d8ae020e6f6e580d66f22b79ccfe549eacb21e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-WHOLE-PICTURE.txt, lines 1–200
Source SHA256: 3e885c9b44c5cd1cd35ecde154089c6824a59eb6a83df9db1b59dbc8539eadbc
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-WHOLE-PICTURE.txt, lines 201–256
Source SHA256: 3e885c9b44c5cd1cd35ecde154089c6824a59eb6a83df9db1b59dbc8539eadbc
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-ATLAS-COVERAGE.txt, lines 1–200
Source SHA256: b37d45ff07acd87053d3d4b29d222071254358d769fa912004362e0d8b45b11e
bounded-sanitized-excerpt · current-at-snapshot · 15 administrative lines explicitly omitted
- experiments/theory-contracts/original-paper-source-reconciliation-20261102/M-ATLAS-COVERAGE.txt, lines 201–273
Source SHA256: b37d45ff07acd87053d3d4b29d222071254358d769fa912004362e0d8b45b11e
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/NATIVE-FIELD-TIME.txt, lines 1–200
Source SHA256: 29752299e90efe398ead5d7f8dc2b9a42d4b715918fe190820b7836051867080
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/NATIVE-FIELD-TIME.txt, lines 201–297
Source SHA256: 29752299e90efe398ead5d7f8dc2b9a42d4b715918fe190820b7836051867080
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/NATIVE-T3-KERNEL.json, lines 1–146
Source SHA256: 27f41a56b4b278dc8a1af4f793c6e4c7080dfb11f0dd76681dd690e198f84356
bounded-excerpt · current-at-snapshot
Established within the stated premises
finding:existing-thermodynamic-source-needs-no-bare-gibbs-projectivity-or-mandatory-continuum
The fully read v1013 original proof constructs common norm dynamics and at least one ground/beta-KMS state on the same A/A^G. Its whole local densities are exactly compatible by restriction; testing all matrix units gives Tr_(G-F)rho_G=rho_F. Free finite Gibbs weights themselves need not be projective. Existing whole fiber integration carries effective weights, exterior determinants and all source legs; unchanged bare spectral form is not required. A single global reference density is no general existence gate. Ledger760 makes a→0 optional and thermodynamics plus controlled IR universality binding.
Scope: Reuse later original proofs and correct excessive source requirements. v330 transfer labels are not all geometry/Higgs/matter fields. A whole S_adm field dictionary does not follow from a finite example. No phase uniqueness, limit gap or IR universality claim; no new continuum gate or total physical closure.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original local Hamiltonian class and common limiting caller
One fixed original selfadjoint interaction Phi(X) on the existing finite local tensor factors, finite range and finite uniform interaction moment. Original quasilocal algebra, inclusions and free-boundary H_Lambda=sum_X Phi(X). Use the scoped v1013 real-time norm dynamics and common weak-* ground/KMS subnet construction. Graph, frozen model couplings and actual field factors are supplied class data, not newly derived from P1.
premise:original-finite-range-hamiltonian-class-and-common-limit
Established within the stated premises
finding:original-regular-gauge-class-has-physical-sector-ground-and-kms-source
Gauge invariance of Gibbs states does not impose Gauss=1 support. For original regular finite links with open boundary, the interior gauge group acts freely on link configurations; ||P(delta_u tensor v)||²=||v||²/|G|^|X| proves nonemptiness without choosing a vacuum. The same H gives positive rho_phys=P exp(-beta H)/Tr(P exp(-beta H)), KMS on A^G. The original norm/weak-* argument yields a limit with omega(P_F)=1. Centrality forces pi(P_F)=I throughout GNS; state and dynamics descend to the physical quotient. Unchanged v989 control has dim1024/rank64; diagnostic beta1 ambient invariant Gibbs has0.8551616360789673 outside, projected0. Actual noncommuting invariant-operator KMS residual2.36e-17.
Scope: New constructive application theorem on the same given Hamiltonian class and actual constraints. Projected state can differ from earlier ambient state. KMS/ground energy only on admissible algebra; whole stars, regular finite links and open topology are premises. Native1024D v989 is a separate original control, not execution of16777216D v1013 DET16 cell. No P1/whole-master identity, new coupling or total physical closure.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original local Hamiltonian class and common limiting caller
One fixed original selfadjoint interaction Phi(X) on the existing finite local tensor factors, finite range and finite uniform interaction moment. Original quasilocal algebra, inclusions and free-boundary H_Lambda=sum_X Phi(X). Use the scoped v1013 real-time norm dynamics and common weak-* ground/KMS subnet construction. Graph, frozen model couplings and actual field factors are supplied class data, not newly derived from P1.
premise:original-finite-range-hamiltonian-class-and-common-limit - Original regular finite gauge links and complete interior Gauss stars
Actual regular finite-G links with original matter representation. Impose the original Gauss=1 projectors only for complete contained stars preserved by actual H. Open boundary with a path from every projected link component to an unprojected boundary vertex. Local gauge actions commute and preserve each interaction term. Admissible observables belong to A^G; do not add broken seam/boundary stars. No periodic neutrality or alternate sector choice.
premise:original-regular-finite-gauge-links-and-complete-interior-gauss-stars
Established within the stated premises
finding:original-hamiltonian-class-has-complete-thermal-euclidean-word-source-and-rp
All ordered bounded real multitime words and Dyson sources converge on the same original Hamiltonian source. Whole Euclidean thermal words obey volume-independent Schatten Holder |S_k|<=product||A_i||. Fixed Gaussian smearing gives complex-time norm convergence; uniform local derivation bound and multilinear Holder continuity remove smearing. Thus all unsmeared ordered words converge in the same subnet, without assuming unsmeared imaginary-time norm convergence. Whole source series have majorant exp(sum||J_i||_1||A_i||). Reflected half-circle word kernel Tr(B_F*B_G)/Z is a Hilbert-Schmidt Gram matrix, so positivity survives the limit. Canonical beta-s reflection and -is for latest-left ordering are explicit.
Scope: Complete bounded physical word source of the supplied class, not a positive Grassmann/ghost configuration space. Thermal reflection is not automatically a separate P1 seam reflection. Ambient and physical subnet states remain distinct. q[0]=1 normalizes only this local source; original unnormalized Z_rel, reference and energy offsets are not replaced. No unbounded field limit, IR universality, general4D covariance or fundamental total promotion.
Required premises and original source excerpts
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
premise:typed-source-structures - Original local Hamiltonian class and common limiting caller
One fixed original selfadjoint interaction Phi(X) on the existing finite local tensor factors, finite range and finite uniform interaction moment. Original quasilocal algebra, inclusions and free-boundary H_Lambda=sum_X Phi(X). Use the scoped v1013 real-time norm dynamics and common weak-* ground/KMS subnet construction. Graph, frozen model couplings and actual field factors are supplied class data, not newly derived from P1.
premise:original-finite-range-hamiltonian-class-and-common-limit - Original regular finite gauge links and complete interior Gauss stars
Actual regular finite-G links with original matter representation. Impose the original Gauss=1 projectors only for complete contained stars preserved by actual H. Open boundary with a path from every projected link component to an unprojected boundary vertex. Local gauge actions commute and preserve each interaction term. Admissible observables belong to A^G; do not add broken seam/boundary stars. No periodic neutrality or alternate sector choice.
premise:original-regular-finite-gauge-links-and-complete-interior-gauss-stars - Given thermal parameter and bounded admissible source legs
Given beta>0 and actual bounded local physical insertions, in particular the even admissible algebra when parity requires it. Insertions preserve the Gauss projectors used. Retain original real time tau_t=exp(itH)·exp(-itH), word order and subnet. Thermal reflection is beta-s with adjoint/word reversal. Do not identify another P1 reflection or whole master caller without its original map. Keep original unnormalized reference factors and energy offsets separately.
premise:given-thermal-parameter-and-bounded-admissible-source-legs
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 joint origin hypotheses and source responses
Which simple joint rules connect the existing P1 source chain,double cover,information and compiler,and which whole candidate classes can be decided automatically using actual source consequences?
- Resolved in scope: Decide even-matter word class and check actual AI operator expressionsRead resultRead result
Existing TFPT derivations and correction of repeated gap diagnoses
Which common source/reconstruction chain already exists in the old original papers, and which purported global gaps arose from reducing P1 or choosing an optional CAR route?
Complete physical Hamiltonian source with Gauss sector and thermal word limit
Which whole source is constructed on the original local Hamiltonian route, how do physical constraints and thermal words follow, and how is its actual IR response distinguished from the original covariant geometric source branch?
Original TFPT source versus DET16 mirror vertex
Does the same original TFPT source produce the concrete DET16 generator and whole responses,or is a computable parent supplied as extra input?
Whole original source and canonical vacuum attachment
Which vacuum joins are already in the whole original source,and how do H ground source and R104 field/Gauss source join completely without second state choice or parent change?
Craig chiral measure and the original whole TFPT source
Which concrete operator and Berezin measure map preserves the original TFPT source when connecting Craig overlap measure?
- open: Compare original4D fermion Hessian and measure line with Craig
Cyclic quantum universe and original Genesis connection
Does original TFPT dynamics yield the exact cyclic quantum return in the September/October press lead and a geometric Genesis transition?
- open: Test periodicity and Genesis response on the same whole source
Physical constants as joint constraints on the TFPT source
Which independent constants constrain the original common source, and can one relative heat product supply gravity and vacuum energy together?
- open: Evaluate original volume, curvature and gauge responses together