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Research snapshot 2026-11-03 · 783 active ledger claims · 784 scientific findings · 707 registered scripts. These are different inventories, not counts of independent physical confirmations.

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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 All 788 ledger rows, including superseded rows, remain in the download.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 785 findings; 1 administrative record is excluded from public scientific content, with the omission recorded in the coverage file.

The scientific findings include 587 established scoped results, 63 conditional results and 134 scoped exclusions. These labels describe the recorded finding. They do not upgrade its parent physical goal or overwrite the original ledger.

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Established within the stated premises

Original and native internal Spin10 field actions exactly intertwined

finding:k-exact-original-internal-spin10-to-native-det16-field-intertwiner

Explicit signed W exactly intertwines v474 prefix-wedge and v1002 suffix Clifford positive chirality. One comparison of original functions:all10 Clifford,45generator,unitarity residuals0. detW=+1 exactly. Gamma(W) carries whole CAR/topdet without extra phase.

Scope: Internal representation only,not spatial spin,smear or time/H_adm. Five auxiliary wedge operators,16labels,Weyl spin distinct;no new Spin10 gauge law.

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
  • Actual internal Clifford definitions of v474 and v1002

    Exactly original v474 ordered wedge basis of Lambda C5 with prefix signs and v1002 suffix Jordan-Wigner matrices and positive chirality. Compare internal Splus representations;physical Weyl spin,spatial/smear/time legs stay separate. No Spin10 gauge requirement follows from internal basis map.

    premise:k-literal-v474-v1002-internal-clifford-conventions

Established within the stated premises

Original reducing net separates vacuum selector and visible transfer

finding:k-original-reducing-net-separates-vacuum-selector-and-ambient-transfer

Original net is A/A*-preserving restriction. All unchanged bare16CAR tensor I_R in it force P_adm=I_mirror tensor P_R;rank1 Pphi incompatible,Pphi c_i Pphi=0. With actual H/source reduction,direct complement extensions invisible in every restricted physical word/unnormalized trace. Charged exiting/returning legs can see them.

Scope: Exactly bare reducing-CAR premise;no actual P_adm=Pphi claim. Vacuum state on full CAR valid;retain dressings/charged extensions. No invisible ambient-kernel demand.

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
  • Unchanged bare CAR legs in actual reducing net

    Original admissible net restricts operators preserving RanP together with adjoints. Tested case contains all16 unchanged bare c_i tensor I_R and adjoints on same Fock/rest split. Invisibility of complement extensions additionally assumes P reduces actual H,all source legs,reflection and state/unnormalized physical trace supported on RanP. Charged exiting/returning legs and rest dressings are not silently included.

    premise:k-same-bare-car-reducing-admissible-source-legs

Excluded in the stated class

Direct common local Weyl DET16 assignment with scalar rest coupling excluded

finding:k-literal-common-local-weyl-det16-scalar-source-map-excluded

Full internal Spin10 equivariant point-local map forces common chi. Double sign puts epsilon16 Weyl vertex in Sym16 C2=spin8,no scalar. H_R cannot cancel±16mirror-number commutators with I_R coefficients. Same s-wave and actually rotation-invariant q force q(Omega16)=0;R104 ambient gives nonzero b exp(i phi)/[2(65536a+b)],beta>0. Conditional actual Gauss PD=I_D tensor PR!=0 keeps nonzero numerator. Full32spin topdet scalar;ordinary32cat partial trace gives rank2(P0+PF)/2,no16cat coherence.

Scope: Only full stated local-Weyl/rotation premise. No global UV/IR/SM-only exclusion;orbital/rest-spin/directional maps remain. No actual Gauss dictionary,projected ground claim,32native run,new parent or TFPT 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
  • Precise local Weyl assignment with scalar DET rest coupling

    Additional tested class:original4D Weyl fields psi_alpha i on rotationally covariant branch,same spatial/orbital location without derivatives,full internal Spin10 equivariant linear embedding j(v)=chi tensor v with common normalized chi;target H_R+2(I-Pphi) has scalar I_R determinant coefficient. Word contradiction additionally assumes actual rotation-invariant state on fixed background and same s-wave smear. No fixed direction or spin8 rest compensation. This field map/exact UV rotation symmetry is not asserted for all TFPT sources. Gauss corollary only for actual reducing PD=I_span0F tensor PR!=0,as conditional R104 canonical det r=1 gauge class.

    premise:k-literal-point-local-common-weyl-det16-scalar-rest
  • Literal separated DET16 mirror factor of v1013 table

    Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.

    premise:r104-literal-v1013-separated-det16-mirror-factor

Established within the stated premises

Old vector/partner algebra cannot supply spinor CAR under same full action

finding:r108-vector-partner-whole-algebra-cannot-supply-equivariant-spinor-car

Internal2pi central z² fixes original10+6 vector fields/canonical partners,thus every word,C* closure and normal W* hull. Native spinor CAR generators change sign. Equivariant iota forces iota(c)=0,contradicting {c,c*}=1. All word lengths settled,not dimension analogy. Original weight functions give16plus vs16minus exactly.

Scope: Only full given Spin10 vector/partner action,not universal physical Spin10 requirement. Whole S/Z/charged E8 extension not reduced to this algebra. Even observables/DET16 centrally even,not excluded;no coefficient0 or physical no-go. Distinguish Fock-state phases and field automorphisms.

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
  • Original10+6 vector Majorana field algebra and canonical partner action

    Exactly v113 real10+6 vector carrier under Spin10×Spin6 and covariantly equivalent real canonical GNS partner,no extra charged/Ramond/disorder fields. Unital word/C* algebra,normal automorphism for W* closure. Compare full original Spin10 action on field operators,not Fock-state phase. Not a universal physical Spin10 requirement or restriction of complete S/Z source.

    premise:r108-original-vector-majorana-and-canonical-partner-action

Established within the stated premises

Minimal double packet fails actual color-group character test

finding:r108-minimal-double-packet-fails-actual-su3-character-test

Actual SU3 center gives original weight counts vector16(10,3,3),spinor16(4,6,6). Exact full Fock recursion yields(22528,21504,21504) vs(21856,21840,21840),both65536. Character magnitudes1024/16,Ad-fixed dimensions1432354816/1431655936 differ. Any nonzero * map M_d→M_d is unital iso,equivariant iso must conjugate implementers up to phase. Thus no same-size packet assignment already under physical color.

Scope: Only same minimal finite field algebras with given real partner action;no time autonomy/full Spin10 symmetry. Extra original spatial/rest/charged carriers may allow larger embedding,not excluded. No even-only source comparison verdict or computed H_adm[F,0].

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
  • Same minimal finite double packet under actual SU3 color

    Two equivalent real10+6 copies with actual canonical real partner action and invariant gammaR+i gammaL polarization give exactly16 complex vector modes in irreducible65536D Fock carrier. Target native16spinor CAR on same65536D carrier. Full algebras M65536,original SU3 center in S(U3×U2),no extra spatial/rest/sector carriers. No time-autonomous-cell premise. Larger original sources and even observables outside premise.

    premise:r108-minimal-finite-double-packet-under-physical-color

Established within the stated premises

Old wall source has explicit open boundary field in given four-flavor scope

finding:r108-old-wall-source-has-explicit-open-mode-but-not-native-primitive-sixteen-map

Original v1008 functions executed:LY8,M1,four flavors,k0 profiles delta_y0(1,-1)/sqrt2,delta_y7(1,1)/sqrt2,projector errors1.34e-18/0,cross0. Corresponding QWZ boundary smearing canonical. Fixed top profile leakage|1-cosk|,pi/3 analytic1/2,numerical0.4999999999999999. Excludes only unchanged invariant isolated band;open local CAR with rest remains valid. Caller builds JW/DET4 separately. v1007/1023/1024/1034 preserve scoped earlier results,not here executed primitive field map.

Scope: No4→16 or2+1→3+1 transfer by equal numbers. Preserve E8(16,4) source,even current not directly odd CAR;dressed source not excluded. ConcurrentK internal W/GammaW preserved,not reported missing or rerun. Spatial/spin/rest/H_adm arrow and primitive coefficient remain null/not_computed. No whole-corpus source absence.

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

Established within the stated premises

Larger charged spinor components have explicit spatial fields and time

finding:r109-given-charged-spatial-spinor-fields-have-explicit-time-and-noncar-mode-witness

All32 integral vertex fields x_i=T(p_i)+u,y_i=x_i-z are evaluated. Original V0 x weights are10*(3/2,0)+6*(2,1/2);y weights10*(1,1/2)+1*(1/2,0)+5*(5/2,2). Original boundary time phiR(s-t),phiL(s+t) and charge clock are retained. A separate Vc gives all x weight(3/2,0) and all y weight(1,1/2);it is not V0. Explicit chiral V0 fields x=(1,0,1,0,0,0,0,0,1,0),xp=(0,1,1,0,0,0,0,0,1,0) have Bself3,Bcross2. For r=xp-x and the original cocycle,exactly {Y(e_x)_1,Y(e_-xp)_0}|r>=x(-1)|0>!=0. Direct identification of these components as independent elementary CAR fields is therefore false.

Scope: Actual conditional Gamma boundary-field source and exact vertex-mode witness;not a primitive3+1D mirror map or a full infinite matrix construction. Distinguish D8 c from the other discriminant-class label c. Other valid smeared,nonlocal or IR CAR maps are not excluded. No global Spin10 or CAR continuum gate.

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
  • Vorhandene integrale geladene Spinorvertices mit ihrer tatsächlichen V0 Energie

    Bedingt gegebenes Gamma=Z^(9,1),K diag(1^9,-1),originales T(p),n,z,u/v und Dreieckscocycle. Gemeinsames D8 c Modul(16,bar4)+(bar16,4),eine benannte Familiengewichtskomponente(+++) mit allen16 D5 Halbgewichten;keine neue physische Familie gewählt. Ursprüngliches V0=I mit gegebenen gleichen Randgeschwindigkeiten,gesondert vorhandenes ausgewähltes Vc behalten. Konkreter Modusgegenfall liegt ganz im positiven rechtschiralen V0 Unterraum. Kein Schluss von h3/2 auf4D Weyl,keine Identifikation mit primitiver Spiegel CAR Quelle.

    premise:r109-original-gamma-charged-spinor-vertices-and-fixed-energy

Established within the stated premises

The actual larger W source produces a nonzero sixteen-mode environment transition

finding:r109-larger-native-source-has-exact-nonzero-sixteenth-order-environment-transfer

Whole native generator response delta(f_k)=-i gbar sum_Aj Q_Akj* f_jdag b_A. No same-family pairs among the actual480 W entries;each fermion endpoint has15 partners. Direct sixteen-mode H_F0=0 and power blocks n<16 vanish by R105. The actual full rest block H^16_F0=16!prod_s R_s is nonzero for g!=0. Original channels0/30 and partner family1 have actual minor det(x Beta0+y Beta5)=x^8y^8 and ranks8/8. Unchanged native pair_action paths on64-bit Fock indices sum exactly:normalized H^16 matrix element=16!8!gbar^16=843606888284160000gbar^16. The leading Dyson contribution for arbitrary tau and exact Delta is8!gbar^16[(1-exp(-Delta tau))/Delta]^16;higher coupling orders from18 remain allowed.

Scope: Executed existing declared64CAR/60CCR operator,retaining all48 rest fermions/60 bosons. No Hamiltonian truncation:other channels do not contribute to this minimal matrix-element path but can contribute at higher orders. x,y are only b0,b30 placeholders. First Dyson coefficient,not a full nonperturbative propagator. Witness initial data do not select a physical state or derive a spatial P1 field map or primitive H_adm value.

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
  • Deklarierte größere ursprüngliche W Bank mit allen48 Restfermionen und60 Bosonen

    Genau ursprüngliches H_nat=Delta Nb+sum(g bdag P+gbar Pdag b),P=sum_i<j W_Aij f_j f_i,Delta>0,64CAR(16,4),60CCR(10,6). Tatsächliches native_source.py W und pair_action in ihrer nativen Fockordnung. Familie0 nur algebraische Komponente,48 andere Fermionen und60 Bosonen bleiben offen. g!=0 für Nichtnullurteil. Konkreter Anfang |Fermionleer;8b0,8b30> und Ende |F0,F1;Bosonleer> nur normierter Matrixelementzeuge,keine TFPT Zustandsauswahl. Thermische Nullaussage setzt tatsächliches Q=Nf+2Nb invariantes ganzes Gewicht voraus. H_nat deklarierte Composition,kein hier nachgewiesener primitiver P1 Output;keine räumliche Einbettung durch Nomenklatur.

    premise:r109-declared-native-w-bank-with-whole-remaining-modes

Established within the stated premises

A charged open sixteen-mode rest response is distinct from a scalar primitive mirror coefficient

finding:r109-open-environment-transfer-and-charge-invariant-scalar-source-remain-distinct

Native conserved charge Q=Nf+2Nb stays32 during the calculated transition;the open H^16_F0 rest block has Qrest charge-16. A Q-invariant whole thermal trace has <Omega16>=0;corresponding charge-preserving rest integration produces no single charged sixteen-mode source term. A nonzero joint transition and a vanishing single thermal expectation are compatible. Native direct H_F0=0 and primitive H_adm[F,0]=null/not_computed remain distinct objects. The original inventory identifies the W bank as a declared composition,not a proved primitive compiler output.

Scope: Only the actual native Q contract with invariant weight;no universal physical TFPT U1 or general prohibition of other sources,effective maps or neutral responses. No extra state rule is required. Whole S/Z is present;the concrete common spatial field-insertion and time map for these sources has not been executed. No corpus-wide absence claim.

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
  • Vorhandene integrale geladene Spinorvertices mit ihrer tatsächlichen V0 Energie

    Bedingt gegebenes Gamma=Z^(9,1),K diag(1^9,-1),originales T(p),n,z,u/v und Dreieckscocycle. Gemeinsames D8 c Modul(16,bar4)+(bar16,4),eine benannte Familiengewichtskomponente(+++) mit allen16 D5 Halbgewichten;keine neue physische Familie gewählt. Ursprüngliches V0=I mit gegebenen gleichen Randgeschwindigkeiten,gesondert vorhandenes ausgewähltes Vc behalten. Konkreter Modusgegenfall liegt ganz im positiven rechtschiralen V0 Unterraum. Kein Schluss von h3/2 auf4D Weyl,keine Identifikation mit primitiver Spiegel CAR Quelle.

    premise:r109-original-gamma-charged-spinor-vertices-and-fixed-energy
  • Deklarierte größere ursprüngliche W Bank mit allen48 Restfermionen und60 Bosonen

    Genau ursprüngliches H_nat=Delta Nb+sum(g bdag P+gbar Pdag b),P=sum_i<j W_Aij f_j f_i,Delta>0,64CAR(16,4),60CCR(10,6). Tatsächliches native_source.py W und pair_action in ihrer nativen Fockordnung. Familie0 nur algebraische Komponente,48 andere Fermionen und60 Bosonen bleiben offen. g!=0 für Nichtnullurteil. Konkreter Anfang |Fermionleer;8b0,8b30> und Ende |F0,F1;Bosonleer> nur normierter Matrixelementzeuge,keine TFPT Zustandsauswahl. Thermische Nullaussage setzt tatsächliches Q=Nf+2Nb invariantes ganzes Gewicht voraus. H_nat deklarierte Composition,kein hier nachgewiesener primitiver P1 Output;keine räumliche Einbettung durch Nomenklatur.

    premise:r109-declared-native-w-bank-with-whole-remaining-modes

Established within the stated premises

Existing whole Clifford field/time map and complete kernel evaluated

finding:l-existing-whole-clifford-field-time-map-has-complete-transfer-kernel

Actual T_faces and old charged field a_old=b(Q+f)+d*(barQ-f) give full four-slot map iotac=aR*−aL*+aR−aL with SAME t,reflection/all96 couplings. Given h=A gamma−i gamma Phi:finite Qraw=⊕Lambda^n exp(-th),Qheat=exp(tEsea)Qraw;all entries are minors,whole coherent kernel exp(tEsea)exp(bareta exp(-th)xi). Intrinsic infinite Eexc=h+⊕(-bar h-),H=dGamma Eexc,Qheat=e^-tH. Whole bounded even multi-time words/HS Gram controlled. Every actual linear16CAR map has whole rest-valued H_F0=0 by R105/R107. On the actual finite constant scalar Fourier block,h_p=p gamma−i gamma Phi,R_p=sqrt(p²I+Phi²),exp(-t h_p)=cosh(tR_p)−h_p sinh(tR_p)/R_p;the continuous ratio at0 is t. All original Phi couplings remain. Variable coefficients retain −i[A,Phi];no bounded infinite raw positive transfer from exp(-th) is claimed.

Scope: Whole GIVEN normal-independent classical-Phi Clifford source,no newly chosen source. Separate positive H,HS Liouvillian,normal transport. Esea finite only;original kappa/reference/eta/domain bound. No primitive physical Sadm value computed,no whole Sadm=Gaussian assumption.

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
  • Complete data of both product-collar faces

    A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.

    premise:actual-product-collar-two-face-data
  • Geometric Clifford boundary with explicit changed complex structure

    Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.

    premise:canonical-recomplexified-graded-boundary-clifford-typing

Excluded in the stated class

Whole positive Clifford transfer excludes exact flat DET16 tensor factor

finding:l-whole-clifford-positive-heat-excludes-flat-det16-under-any-unitary

Zfree(z)=2^m∏(1+e^-z epsilon) holomorphic/zero-free for Re z>0;heat summability justifies infinite logarithmic product. Any unitary H≅HR+Delta(I-P),rankP1,dimd>2 forces Zfree=ZR[1+(d-1)e^-Delta z]. Rest heat trace holomorphic finite/no poles. z*=[log(d-1)+i pi]/Delta contradicts zero-freeness. Native d65536,Delta2. Excludes arbitrary nonlinear CAR coordinates if same oriented positive kernel unitary-equivalent. Exact positive injective single step suffices by unique spectral log,up to real offset.

Scope: All unitary whole-kernel maps only for unprojected given caller/literal tensor factor,not mere parent term. Not HS,relative trace,interacting Sadm. Actual projection can break zero-freeness:three free modes even parity Z=1+3e^-2epsilon z. Sharp d2 exception. No new physical temperature/global TFPT gate.

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
  • Whole unprojected positive Clifford heat and actual kernel comparison

    Use existing normal-independent classical-Phi Clifford source in its positive excitation representation H=dGamma(E_exc),E_exc>=0,Tr exp(-x E_exc)<infinity for EVERY x>0,finite zero modes. Whole unprojected ordinary heat trace,not relative quotient. Compare SAME positive physical transfer under unitary operator map with oriented input/output pairing and sewing,or exact positive injective step up to positive scalar. No HS Liouvillian,mere overlap,face refactorization or arbitrary time-dependent normalization. Physical Gauss/parity projection,dynamical Phi integration and other interacting sources do not satisfy this premise by declaration.

    premise:l-whole-unprojected-clifford-positive-heat-and-oriented-unitary-comparison
  • Literal separated DET16 mirror factor of v1013 table

    Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.

    premise:r104-literal-v1013-separated-det16-mirror-factor

Established within the stated premises

Actual original selectors are not a named register-parity map

finding:l-original-projector-actions-do-not-identify-register-parity-source

Original PΣ selects Cauchy data,Psing actual color center,QTheta own determinant sector. OddnuR invariant under actual GSM gauge,so gauge differs from total fermion parity. Existing nonlinear C4 map retains CAR/SAMEtime/all4Js,D moves between them. Later full local parity-Gauss map explicitly calls Gx NEW LOCAL GAUSS PREMISE,not original Padm. None identified by names as actual Clifford Fock projection.

Scope: Retain positive old nonlinear/source maps. No c3-only origin or whole-corpus absence. Primitive projected Sadm jet neither0 norDET. Exact whole conditional fermion/Berezin K identity on original domain/insertions/boson weight remains comparison,no new free measure/J/vacuum.

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

Established within the stated premises

Whole original source contains its canonical vacuum and transports modular data

finding:whole-original-source-has-canonical-vacuum-and-transports-modular-data

Full moments come from q=Z_rel[J]/Z_rel[0]=Z_adm[J]/Z_adm[0]. On the actual valid vacuum OS source Omega=[1], norm1 and H Omega=0. Applicable regular full Euclidean covariance also yields invariant Omega and forward-cone spectrum, with no second independent post-source vacuum choice. Clustering controls uniqueness. G actual whole source isomorphism carries all moments,time,reflection and Omega; on the same standard pair Delta_U=V Delta V* and J_U=V J V* carry every already valid BW relation.

Scope: Concrete application of existing whole-source and OS transport theorems. Only the outer source-independent reference denominator cancels in q; inner reference weights and absolute Z0/eta/energy remain. Use applicable regularity rather than separate temperedness; bounded-net construction retains actual time-zero scope. Family transport is not active symmetry of a changed background. No global Minkowski requirement on cosmological branches or total source/TFPT 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
  • Whole original normalized vacuum source with applicable reconstruction theorem

    Actual complete original q=Z/Z0 with all physical source legs/full moments and original grading,time,reflection and RP. Applicable vacuum OS theorem holds on actual domain/regularity. Relativistic consequence requires WHOLE Euclidean-invariant source at actual fixed flat background;covariant family transport alone is insufficient. Retain actual time-zero hypothesis of bounded-net route. Not inferred from principal symbol or asserted for every KMS/graph/curved background.

    premise:complete-original-vacuum-source-with-applicable-reconstruction
  • 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

Whole physical ground source has Euclidean limit and the same GNS vacuum

finding:original-physical-ground-source-has-complete-euclidean-limit-and-same-gns-vacuum

For the same original physical Hamiltonian family all bounded ordered Euclidean ground words converge on the same weak-* subnet to actual H0 GNS semigroup words. Contractivity,fixed Gaussian smoothing and uniform unsmoothing give product-norm control and compact-simplex uniformity. Whole local source converges with exp(M) majorant; its RP Gram completion is unitarily the same GNS space,[1] maps to Omega0,H0>=0. No thermodynamic gap is needed. For the whole finite ground projector,2(d-d0)/d0 exp(-(beta-T)delta) controls every word; explicit diagonal Gibbs regularization gives the same source without a uniform finite gap.

Scope: New analytic whole-source application on H already constructed original class. Half-word side and actual adjoints explicit. Gibbs selects whole ground trace,not arbitrary degenerate ground vectors. Beta_n is proof regularization,not a physical temperature fit. Positive time spectrum does not imply Lorentz or phase uniqueness. Original Gauss constraints and absolute energy/reference/Z0 factors retained; no new continuum gate or total 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
  • Existing physical ground subnet and bounded original source legs

    H original finite-range Hamiltonian class and whole interior free-boundary Gauss projectors. Actual bounded local admissible insertions preserve projectors. Finite densities supported on original physical ground spaces converge on same weak-* subnet to existing ground construction;retain original norm real-time dynamics/convention. Gibbs comparison explicitly uses normalized WHOLE ground projection,not arbitrary degenerate vector. No uniqueness,uniform gap or Lorentz symmetry assumed.

    premise:existing-physical-ground-subnet-and-bounded-source-legs

Established within the stated premises

Existing DET rotation joins whole original source with unchanged flat parent

finding:existing-det-unitary-closes-whole-original-flat-parent-source-vacuum-chart

Apply the already original full U_det rotation to actual R104/v1013 parent:T=I_R tensor product U_det* gives H_R+2 sum(I-P0),P_G prime=TP_GT*,O prime=TOT*. Every unnormalized ordered trace,actual reference quotient,time,reflection and physical ground projection is exactly preserved. No U/G commutation needed when actual gauge operators travel. Original c legs become U_det*cU_det,dressed a become c. Local two-particle persistence remains exp(-2t);additive2N_a gives exp(-4t). If actual P_phi are Gauss invariant,E_phys exactly reduces to min_S[infSpec(H_R|Ran P_S)+2|S|].

Scope: Whole source and representation identity of the same given source,no parent change or physical mirror-sector selection. Unchanged charge labels require original singlet premise;otherwise whole gauge generators transform. Infinite family is quasilocal automorphism/GNS intertwiner,not infinite product in one fixed Fock representation. Pure local DET ground is not automatically global physical ground sector. Retain rest H_R and Gauss cancellations. No derivation of supplied interaction from P1 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
  • Literal separated DET16 mirror factor of v1013 table

    Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.

    premise:r104-literal-v1013-separated-det16-mirror-factor
  • Actual product gauge action and rest-source legs

    Actual supplied original finite gauge action factors as UR(g) tensor product Um,x(gx), preserves same H and uses same original whole Gauss projector. Rest-source legs are gauge compatible. No concrete v1013 mirror representation or P1 clock identity is added from group order. Gamma(r),det r1,no implementer phase is only explicitly supplied subcase.

    premise:r104-factorized-original-gauge-action-and-rest-source-legs

Established within the stated premises

Existing neutral local vacuum and BW solution reused and replayed

finding:original-neutral-local-vacuum-bw-solution-is-reused-and-replayed

Actual original Q0 current space already has the same sea Omega,derived positive parabolic generator with kernel C Omega,and full affine local standard-pair/BW construction. All-mode Laguerre and original local maps were fully reviewed. Unchanged original checker ran3November exit0/PASS_SCOPED:48 literal CAR stress identities,7 recurrences,49 Gram entries. This existing neutral attachment is solved;no new BW existence search needed.

Scope: Reuse and targeted native source check,not a new theorem inferred from counts. Neutral cyclic net,not full charged or4D interacting source. Parabolic generator is not unchanged gapped circle energy. Elliptic Gibbs state has nonzero commutator with P and is not replaced by vacuum. Actual P1 field/time/reflection identification remains scoped;original checker retains P1_source_map_closed=false/full_TFPT_solution=false.

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
  • Actual neutral vacuum current space of the quarter source

    Retain the supplied one-copy quarter CAR source alpha1/4 or3/4, negative sea Omega, actual level1 currents J_n with adjoints, H_alpha=N+Q²/2+(alpha-1/2)Q, common finite-energy core, existing local current net and original transported stress/winding comparison. Work precisely on the neutral cyclic Q0 space; elliptic Gibbs/HS state and charged sectors are distinct data. No physical P1 source map is assumed.

    premise:actual-quarter-neutral-vacuum-current-core
  • Original quarter CAR source with fixed fold and current dictionary

    The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.

    premise:original-quarter-car-fold-current-subalgebra

Established within the stated premises

Local Cayley map transports chirality with a nontrivial Jacobian

finding:craig-local-cayley-transport-needs-full-chiral-jacobian

For gamma5 Hermitian GW D, A=1-D/2 intertwines modified and ordinary chirality. On an invertible domain Kreq=D A^-1 is chirally odd and anti-Hermitian and Kreq A=D. Source legs, Yukawa insertions and the actual Majorana pairing must all be transported. The restricted chiral Berezin Jacobian cannot be discarded: an exact algebraic example yields different background factors4/5 and1/2. This does not identify original TFPT K with Kreq.

Scope: Compatible finite field spaces or common invertible domain only; no global field map, locality/RP derivation, or physical measure identity.16 symbolic controls and direct Craig operator checks executed; no Lean validation.

Required premises and original source excerpts
  • Compatible GW operator and Berezin domain

    Mathematical scope: finite gamma5 Hermitian GW operator with coefficient1 and actual compatible ordered fermion spaces. Inverse formulas apply only on a common invertible domain; fulfillment by the original TFPT source is not assumed.

    premise:craig-finite-gw-compatible-source-domain
  • 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

Global invertible Cayley chart excluded already in the free case

finding:craig-global-invertible-cayley-chart-excluded

For a free periodic even4D torus Craig Eq16 gives D=2 and A=0 at p=(pi,0,0,0), with exactly trivial plaquettes. The Cayley field redefinition is not invertible on this permitted whole space. Finite GW operators with balanced gamma5 trace and nonzero index also have2 modes. Other sectorwise maps, genuine blocking, other fixed spin boundary conditions, and TFPT itself are not excluded.

Scope: Exact exclusion only of the simple globally invertible Cayley chart. No universal overlap/TFPT no-go and no mandatory lattice/continuum route.

Required premises and original source excerpts
  • Compatible GW operator and Berezin domain

    Mathematical scope: finite gamma5 Hermitian GW operator with coefficient1 and actual compatible ordered fermion spaces. Inverse formulas apply only on a common invertible domain; fulfillment by the original TFPT source is not assumed.

    premise:craig-finite-gw-compatible-source-domain

Established within the stated premises

Full blocking formula available; original source identity uncomputed

finding:craig-whole-source-blocking-and-line-match-still-uncomputed

Full finite ordered Gaussian Berezin elimination gives Kp=KT+barB alpha B, Da=alpha-alpha B Kp^-1 barB alpha and necessarily detKp/detalpha plus the original source contact term. The concrete Craig equation is Da^-1=alpha^-1+B KT^-1 barB=DC[U]^-1 on the inverse domain, with zero modes handled by source minors. After a genuine line isomorphism dtheta=jC-jT must hold with matching holonomy and original component factors. The reviewed original sources contain no evaluated identity of these concrete4D operators/lines over all integrated backgrounds. P_adm is not automatically the Craig plaquette indicator. Existing S/Z/OS/Gamma and whole old Clifford source maps are retained.

Scope: Formulas and precisely unresolved application only. Gaussian lemma requires actual compatible Grassmann spaces; original higher terms/Pfaffians are not replaced by an added full96 determinant. Numerical curvature is a finite diagnostic without claiming Craig threshold coverage or an all-small-field proof. No CHIRAL4D/TOE promotion.

Required premises and original source excerpts
  • Compatible GW operator and Berezin domain

    Mathematical scope: finite gamma5 Hermitian GW operator with coefficient1 and actual compatible ordered fermion spaces. Inverse formulas apply only on a common invertible domain; fulfillment by the original TFPT source is not assumed.

    premise:craig-finite-gw-compatible-source-domain
  • 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

Whole v252 product pairing is skew and nonzero

finding:craig-actual-v252-spin4-product-pairing-evaluated

On the existing conditional ordinary Spin4 product branch, the whole symbolic original v252 Yukawa/Majorana family gives D=-i gamma.nabla tensor1+gamma5 tensorPhi and M_e=E_e^T(C4 tensor KF)^dagger D E_e. Both total Gamma fibers have rank192. The symmetric derivative coefficient becomes skew after integration by parts; the whole mass block is skew with squared norm2Tr96Phi^2. The isolated symmetric KO6 pairing therefore does not kill the spacetime pairing.26 exact symbolic checks pass. The added fermionic product prescription remains unbound to the whole original S_adm Hessian.

Scope: Whole original finite matrix content on the already conditional ordinary4D product consumer. No derivation of an original fermion term or actual interacting S_adm; no arbitrary gauge connection check or physical/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

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