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Follow the question, attempts and conclusions.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Automated construction of operator maps and sources

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

What has been learned

Established in scope

Original quarter pair fixes square charge law,half-response and real Quillen norm

In the question: Automated construction of operator maps and sources

Bothoriginalquartersatb=4pi,independentblocksofsamemarginal,nottwofaces. Commoncouplingaddsexteriorcoefficientto1. Notglobalfiniteepsilonno-go,arbitrarycomplextwistpositivity,EMq(alpha)/5/4orspin2identification.

Read the exact result, assumptions and evidence

Result

Settingp=q+r,d=q−rthetwoquarterchargeenergyis(p²+d²−d)/4andd↦1−dequalizesparity. HenceP(p)∝exp(−pip²)exactly;PoissonselfdualitygivesVarp=1/(4pi),eachquarterVarQ=1/(8pi),bVar=1/2. Onrealv=t/(2pi),N(v,0)=|chi_pair(2piv)|²identifiesexistingQuillennormandHessian−2pi. Originalequilibriumderivativeis−meanfg+f0g0/2,nonzerooutsidewhenf0g0≠0,excludinglocalTPidentificationofthisfamilynear0,notcausalsignalling.

Required assumptions

  • Given original elliptic quarter source with supported scalar current insertion

    ExistingfreeannulusCARquantizationwithD_a=−i∂+aonperiodicH1,a=1/4and3/4,b=4pi,originalsea/current/H_a. Independentquarterblocksinonegivenmarginalarenotannulusfaces;wholeexistingtwofacegraphretained. ExecuteforwardD_a+epsilonfthroughallrealsmoothsupportedtestinsertionswithsameoriginalnormalization/time. Nochoiceofphysicalf,primitiveP1measure,net/vacuumor3+1derivedbyassumption.

  • 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.

  • Free chiral Cauchy quantization of the canonical elliptic annulus

    Treat the dividing half of the given square curve in its canonical flat conformal representative as a product collar. Compute the Cauchy graph of Dplus=partial_t+B_Sigma,B_Sigma=−i partial_s with NS boundary,then interpret it using the expressly free chiral CAR construction as a quasifree two-boundary state. The labelled second-face compression is the covariance;the other is complementary. This Gaussian interpretation does not derive the original relative spectral-action measure,P1 time or EM/Quillen response.

  • 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.

Original evidence

  • ELLIPTIC-LOCAL-INSERTION-PROOF.txt lines 1–194

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION-PROOF.txt

    6d009be249a02f8274350d6f2b3b27f62e6225814160ea3dd8d9deb622bb7871

  • check_elliptic_local_insertion.py lines 1–181

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_elliptic_local_insertion.py

    e31115d6ad575adf245fbb40d60c8d000e25bb90e20338f05f4999d31e6cd7f1

  • ELLIPTIC-LOCAL-INSERTION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION.json

    bd266bf96fb20f59ea4329f9c7095aa222f69386efdbeaa1a8a64c8965a024a2

  • ELLIPTIC-LOCAL-INSERTION.json lines 201–292

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION.json

    bd266bf96fb20f59ea4329f9c7095aa222f69386efdbeaa1a8a64c8965a024a2

  • ELLIPTIC-CURRENT-SOURCE.txt lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/native-arc-charge-source-interface-20261026/ELLIPTIC-CURRENT-SOURCE.txt

    657b2ace6d7152c53dbb29c76d8e0daca6e6b1ce747c535da7dffb0ff38d9b48

  • ELLIPTIC-QUILLEN-RESPONSE.txt lines 1–169

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-admissible-source-closure-20261025/ELLIPTIC-QUILLEN-RESPONSE.txt

    e849e9001678ee2beddb8efb5afa09e0395f867b03feb47e369c19479e492ebc

finding:original-quarter-pair-fixes-square-charge-law-half-response-and-real-quillen-norm

Established in scope

Original elliptic fixed-holonomy insertion gives a local operation on the same source

In the question: Automated construction of operator maps and sources

Entiregivensmoothscalarclassonexistingcircle;notprimitiveP1measure,sixtyrecordruleorinteractingHorigin. Wkisanormalizedlocalunitaryoperation,notanindependentlyselectedinstrument.

Read the exact result, assumptions and evidence

Result

WholeoriginalD_a+epsilonfhasV=e^ik,k′=−epsilon(f−f0),Cepsilon=VC_(a+epsilonf0)V*. CompletingoscillatorsgivesH+epsilonJf=WkH_(a+epsilonf0)Wk*−epsilon²sum|fn|²andfullpartition/words. Forf0=0,kcanbesupportedinsameI:rhoepsilon=WkrhoWk*,alloriginalexteriorwordsfixedandjointwordsretained. Wholetwofacegraphistransported. Actualforwardinsertion,notinverseinputY.

Required assumptions

  • Given original elliptic quarter source with supported scalar current insertion

    ExistingfreeannulusCARquantizationwithD_a=−i∂+aonperiodicH1,a=1/4and3/4,b=4pi,originalsea/current/H_a. Independentquarterblocksinonegivenmarginalarenotannulusfaces;wholeexistingtwofacegraphretained. ExecuteforwardD_a+epsilonfthroughallrealsmoothsupportedtestinsertionswithsameoriginalnormalization/time. Nochoiceofphysicalf,primitiveP1measure,net/vacuumor3+1derivedbyassumption.

  • 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.

  • Free chiral Cauchy quantization of the canonical elliptic annulus

    Treat the dividing half of the given square curve in its canonical flat conformal representative as a product collar. Compute the Cauchy graph of Dplus=partial_t+B_Sigma,B_Sigma=−i partial_s with NS boundary,then interpret it using the expressly free chiral CAR construction as a quasifree two-boundary state. The labelled second-face compression is the covariance;the other is complementary. This Gaussian interpretation does not derive the original relative spectral-action measure,P1 time or EM/Quillen response.

  • 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.

Original evidence

  • ELLIPTIC-LOCAL-INSERTION-PROOF.txt lines 1–194

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION-PROOF.txt

    6d009be249a02f8274350d6f2b3b27f62e6225814160ea3dd8d9deb622bb7871

  • check_elliptic_local_insertion.py lines 1–181

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_elliptic_local_insertion.py

    e31115d6ad575adf245fbb40d60c8d000e25bb90e20338f05f4999d31e6cd7f1

  • ELLIPTIC-LOCAL-INSERTION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION.json

    bd266bf96fb20f59ea4329f9c7095aa222f69386efdbeaa1a8a64c8965a024a2

  • ELLIPTIC-LOCAL-INSERTION.json lines 201–292

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ELLIPTIC-LOCAL-INSERTION.json

    bd266bf96fb20f59ea4329f9c7095aa222f69386efdbeaa1a8a64c8965a024a2

  • ELLIPTIC-CURRENT-SOURCE.txt lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/native-arc-charge-source-interface-20261026/ELLIPTIC-CURRENT-SOURCE.txt

    657b2ace6d7152c53dbb29c76d8e0daca6e6b1ce747c535da7dffb0ff38d9b48

  • ELLIPTIC-QUILLEN-RESPONSE.txt lines 1–169

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-admissible-source-closure-20261025/ELLIPTIC-QUILLEN-RESPONSE.txt

    e849e9001678ee2beddb8efb5afa09e0395f867b03feb47e369c19479e492ebc

finding:original-elliptic-fixed-holonomy-insertion-gives-local-operation-on-unchanged-source

Established in scope

Canonical source localization changes exterior state and does not select event origin

In the question: Automated construction of operator maps and sources

Originalfield/statecomparisoningivennet,notgeneralno-goforselectivepreparationsoractualexteriorstates. Nofiniteenergyclaimforcanonicaleta/implementers. Givenchiralgeometrytransported,notderivedfrom15labels;physical3+1/spin2/seamstateselectionremainoverallgoal.

Read the exact result, assumptions and evidence

Result

E_Lencodinghasvacuumexteriorindependentoflogicalrho;originalE0sourcehasexteriorstress2h0insteadof0. OriginalQ_IZ±inputsdistinguishedoutsideby±2h0,hencenolocalnonselectivepreparationcanreplacewholefamilybyfixedexteriorencodingandpreserveanswers. Canonicalproducteta≠Omega;PsifixesA(I)butrelocatesoriginalexterioroperatorstocollarrelativecommutant,notglobalstate/localizationpreservingcoordinatechange. ActualvacuumonFhasdensityTr2W|Omega><Omega|W*,notchosenfiniteBellinput. SmoothcurrentprofilepulseisalternativeinterioractionconsumerwithoriginalCARnormq3/4andenergy(3pi²/4)sum n²|f_n|²;doublepulse4energyONLYinthatclass,notuniversalcanonicalsplitcost.

Required assumptions

  • Given E8 current vacuum net with original grade2 descendant and strictly nested intervals

    SamealreadygivencompactE8_1latticevacuumnetwithOmega/fullL0,originalD5vector10⊗A3Sym²C4isometryE0atweight2andunchangedSU4currentaction. rho(u_z)E0=−iE0(I10⊗U_z),J0(X)E0=E0(I10⊗dGamma2X). ForalreadygivenstrictlynestedcircleintervalsclosureI⊂J,standardsplitfollowsfromfullcharactertraceclassandReehSchlieder. StandardformfixesWwithWABW*=A⊗BforAinA(I),BinA(J)′. Nophysicalregionselection,rawP1derivationofnet/vacuum,replacementoforiginalellipticsourceor3+1spacetimeassumed.

  • 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.

  • Given local E8_1 vacuum representation and explicit cocycle

    Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

Original evidence

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 201–238

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • check_local_source_record_split.py lines 1–78

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_local_source_record_split.py

    6461f9496634f5c42c283d93d0ff25ef7cb44ff5cec3850ca40b5aa0600e37e8

  • LOCAL-SOURCE-RECORD-SPLIT.json lines 1–158

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT.json

    583d417dcfce05fddec9d631ef31b914dd8f166f4581cd915c81612c744eacdf

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • PROOF.txt lines 201–224

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • checker.py lines 26–118

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/checker.py

    b342a8b102d9b1dedf150ccbd4812ccb26fa1b9a4b7cb70401b6cdd8201b4420

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • CURRENT-FAMILY-AND-NORMALIZATION.txt lines 1–187

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/CURRENT-FAMILY-AND-NORMALIZATION.txt

    b6d6a57fe2ed89c27ac62c11f57dde2d222efd5727e1dc2055680e96ae263569

  • certificate.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

  • certificate.json lines 201–222

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

finding:canonical-source-localization-changes-exterior-state-and-does-not-select-event-origin

Scoped exclusion

Unchanged global sixty event source fails local exterior-current test

In the question: Automated construction of operator maps and sources

Onlyspecifiedliteralglobalrecordidentification,notclock/time/P1orotherlocalsourcesno-go. BranchwithpIeffectonWHOLEphysicalHhasexteriorpB;merelyscalarCOMPRESSEDeffectisinsufficient. State-dependentpostselection/exteriormemorynotexcludedandmustretainfullsource/record/normalization.31controlsforfiniteoriginalcoefficients;all-observablelocalityargumentanalytic.

Read the exact result, assumptions and evidence

Result

L0E0=2E0givesE0*J_X(h)E0=h0(I10⊗J_XBell)forallsmears;othermodesshiftgrade. OriginalR064rhoQ_IZ+/3withanyD5sigmahasexteriorvalue2h0before,0afteroriginalglobalray13,and(2/5)h0afterunreadC60. AnyactuallocalnonselectiveCPmapwithKrausinA(J)andnormsumIfixesALLboundedexteriorobservables;Weylderivativefixesthisfiniteenergysourcecurrentat2h0. Literalsame-code/same-exteriordictionaryidentificationofglobaleventorunreadC60aslocalinterventionexcluded.

Required assumptions

  • Given E8 current vacuum net with original grade2 descendant and strictly nested intervals

    SamealreadygivencompactE8_1latticevacuumnetwithOmega/fullL0,originalD5vector10⊗A3Sym²C4isometryE0atweight2andunchangedSU4currentaction. rho(u_z)E0=−iE0(I10⊗U_z),J0(X)E0=E0(I10⊗dGamma2X). ForalreadygivenstrictlynestedcircleintervalsclosureI⊂J,standardsplitfollowsfromfullcharactertraceclassandReehSchlieder. StandardformfixesWwithWABW*=A⊗BforAinA(I),BinA(J)′. Nophysicalregionselection,rawP1derivationofnet/vacuum,replacementoforiginalellipticsourceor3+1spacetimeassumed.

  • 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.

  • Given local E8_1 vacuum representation and explicit cocycle

    Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

Original evidence

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 201–238

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • check_local_source_record_split.py lines 1–78

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_local_source_record_split.py

    6461f9496634f5c42c283d93d0ff25ef7cb44ff5cec3850ca40b5aa0600e37e8

  • LOCAL-SOURCE-RECORD-SPLIT.json lines 1–158

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT.json

    583d417dcfce05fddec9d631ef31b914dd8f166f4581cd915c81612c744eacdf

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • PROOF.txt lines 201–224

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • checker.py lines 26–118

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/checker.py

    b342a8b102d9b1dedf150ccbd4812ccb26fa1b9a4b7cb70401b6cdd8201b4420

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • CURRENT-FAMILY-AND-NORMALIZATION.txt lines 1–187

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/CURRENT-FAMILY-AND-NORMALIZATION.txt

    b6d6a57fe2ed89c27ac62c11f57dde2d222efd5727e1dc2055680e96ae263569

  • certificate.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

  • certificate.json lines 201–222

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

finding:unchanged-global-sixty-event-source-fails-local-exterior-current-test

Established in scope

Canonical standard split localizes original record words with full companion

In the question: Automated construction of operator maps and sources

Conditionalglobal-to-localimplementationtheoreminALREADYgiveninfiniteE8net,usingDoplicherLongo/Longo7.1.6,7.1.13,7.3.3andsourcederivation,notprovedbyfinitechecks. Encodedstate/regionsnotphysicaloriginselection. Wnotnumericallyconstructed,noC*norm/finiteenergyimplementer/originalclockidentitytheorem. NeutraltennotP2matter.

Read the exact result, assumptions and evidence

Result

FullE8characteristraceclassforallbeta>0,hencestandardsplitforstrictintervalinclusionsingivennet. Psi(X)=W*(X⊗I)W normalunitalinjective*-homomorphismontoINFINITEtypeIintermediateF,notcompression. FixesA(I),canonicallyvacuum/symmetrycovariant. V(g)=Psi(rho(g)) genuineSU4rep,AdV=AdrhoonA(I),commutesA(J)′. E_L=W*(E0⊗Omega),Bhat=iV(u)/sqrt60giveBhatE_L=E_L(I10⊗B),fullnormsumI. Allfiniteoriginalrecordwords/phases/givencoherentwordsumswithoutintermediateprojection;R0641/3vs1becomesboundedlocalENCODEDresponse. EntireD5companionandotherE8sectorsretained;(iV(u))²=−V(−iI)isonlyidentityonclass2.

Required assumptions

  • Given E8 current vacuum net with original grade2 descendant and strictly nested intervals

    SamealreadygivencompactE8_1latticevacuumnetwithOmega/fullL0,originalD5vector10⊗A3Sym²C4isometryE0atweight2andunchangedSU4currentaction. rho(u_z)E0=−iE0(I10⊗U_z),J0(X)E0=E0(I10⊗dGamma2X). ForalreadygivenstrictlynestedcircleintervalsclosureI⊂J,standardsplitfollowsfromfullcharactertraceclassandReehSchlieder. StandardformfixesWwithWABW*=A⊗BforAinA(I),BinA(J)′. Nophysicalregionselection,rawP1derivationofnet/vacuum,replacementoforiginalellipticsourceor3+1spacetimeassumed.

  • 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.

  • Given local E8_1 vacuum representation and explicit cocycle

    Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

Original evidence

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt lines 201–238

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT-PROOF.txt

    db077a0dee8f0f057c75891534afd6bbaf8439a080ac721c891f13f9436a95e8

  • check_local_source_record_split.py lines 1–78

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_local_source_record_split.py

    6461f9496634f5c42c283d93d0ff25ef7cb44ff5cec3850ca40b5aa0600e37e8

  • LOCAL-SOURCE-RECORD-SPLIT.json lines 1–158

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-RECORD-SPLIT.json

    583d417dcfce05fddec9d631ef31b914dd8f166f4581cd915c81612c744eacdf

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • PROOF.txt lines 201–224

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/PROOF.txt

    ad45198c44b84365a862b709e8b7e49af708f2e1a58adff67dc55d7cf4fa459b

  • checker.py lines 26–118

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/checker.py

    b342a8b102d9b1dedf150ccbd4812ccb26fa1b9a4b7cb70401b6cdd8201b4420

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • CURRENT-FAMILY-AND-NORMALIZATION.txt lines 1–187

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/CURRENT-FAMILY-AND-NORMALIZATION.txt

    b6d6a57fe2ed89c27ac62c11f57dde2d222efd5727e1dc2055680e96ae263569

  • certificate.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

  • certificate.json lines 201–222

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-current-descendant-20260919/certificate.json

    2de0c243ee4bd2ff3c5e98e1c897cad71795fb7f52feacd78f34da5091579138

finding:canonical-standard-split-localizes-original-source-record-words-with-full-descendant-companion

Conditional result

Actual Doily context records have character ranks four two two two

In the question: Automated construction of operator maps and sources

Coherentrecordaccessisexplicitresource,notfreeoperationonaclassicalrecord. Specifiedoriginalinstrumentnotdeclaredambiguousbydefinition;physicalimplementation/readoutselectionstilltoderive. Genericrecordbasisfreedomalreadyknown;onlyactualH10realizationnew. Notold20event/5Hodgegroupingandnouniversalrecordmeasurementgateforexistingcurrent/sewingbridge.

Read the exact result, assumptions and evidence

Result

FourgivenUjperLhaveproductI10;Hj=UjU0formKlein4. WalshQchi=1/4sumchiHjorthogonalranks4,2,2,2,sumI. ConditionalcoherentWalsh/2recordrotationgivesBchi=U0Qchi/sqrt15andeffectsQchi/15insteadofI/60withsameunreadCPmap. ContextchannelAdU0aftercharacterpinching,notplainrank1C4dephasing. Onacharacterstatespecificglobalchance1/15versusoriginalfourtimes1/60,samecontextchance. All15groupsexact.

Required assumptions

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

  • 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.

  • Original Pauli and v419 F20 source words

    Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.

  • Coherent Stinespring record of actual single source event

    Use actual60 uniformlyweightedsourceoperations withtheirphases anddilationVsrc=sum_l|l>⊗U_l/sqrt60. GrantcoherentaccesstothisC60record andactivemeasurementofspecifiedeffectasresource. Reducedchannelalonedoesnotprovephysicalrecordcarrier ormeasurement. MarkedOmega andSpin5transportremainexplicitcarrierdata.

Original evidence

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 201–231

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • check_doily_record_orientation.py lines 1–106

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_doily_record_orientation.py

    4deb52b5132693a1ddd99cefb49c301b6cacfef62d26a0412cec932b4dfe0d5e

  • DOILY-RECORD-ORIENTATION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 401–463

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • PROOF.txt lines 201–275

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • RECORD_COMPOSITION.md lines 1–80

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-origin-audit-20260913/RECORD_COMPOSITION.md

    4315e685767b41b987d6b323825f971bf130ea379be2b50296ebb6dfa3357b6d

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 53–88

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 313–341

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

finding:actual-doily-context-record-characters-have-ranks-four-two-two-two

Scoped exclusion

Literal Doily incidence output and strict causal order on fifteen source labels excluded

In the question: Automated construction of operator maps and sources

Onlyspecified15label/eventidentificationexcluded,notglobalTFPTorigin/time/causalityno-go. Orderedwordshaveresponses;time/localitycanrequireothergenuineoriginaldata. InternalHerm2conenotprovedspacetimedictionary.

Read the exact result, assumptions and evidence

Result

12to3mapptoitsuniquecompatiblepointqhasfourpreimagesandisnotinvertible;actualconjugationp->p+qisinvolutive. Henceqisnotliteralunitaryrecordoutput. Everyallowedunsignednativemovehasreversebythesameevent;arbitrarypositiveeventweightsstillyieldsymmetriccounts. Nostrictorderonthesame15namescanmakeallmovesirreversibleforwardsteps.

Required assumptions

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

  • 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.

  • Original Pauli and v419 F20 source words

    Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.

Original evidence

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 201–231

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • check_doily_record_orientation.py lines 1–106

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_doily_record_orientation.py

    4deb52b5132693a1ddd99cefb49c301b6cacfef62d26a0412cec932b4dfe0d5e

  • DOILY-RECORD-ORIENTATION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 401–463

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • PROOF.txt lines 201–275

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • RECORD_COMPOSITION.md lines 1–80

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-origin-audit-20260913/RECORD_COMPOSITION.md

    4315e685767b41b987d6b323825f971bf130ea379be2b50296ebb6dfa3357b6d

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 53–88

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 313–341

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

finding:literal-doily-incidence-output-and-strict-causal-order-on-fifteen-source-labels-excluded

Established in scope

Actual E8 record words distinguish order and retain more than fifteen labels

In the question: Automated construction of operator maps and sources

Explicitmathematicalpreparationandeffect,notphysicalvacuum/site/3+1causalnet. Existingwholeword/Qmemoryretained,genericcompressionlossnotnewlycounted. Not13Octoberloadedpulseordeployedclock.30controls,noLean/physicalvalidation.

Read the exact result, assumptions and evidence

Result

Originalray0r=diag(−1,1,1,1),ray13s=I−J4/2. OnactualH10,rho=Q_IZ+/3,E=Q_XI+ giveorderedprobability1/3versusreverse1,exactrationalandindependentlycheckedbysymmetric-tensorsingular-valueformula. Jointoriginalrecord/finalprobabilities1/10800versus1/3600,difference1/5400. Wordr0thenr54sendsW_IXto−W_IXatsamelabelandQ+toQ−. Symmetricone-stepreaderdoesnotexcludeorderedprocessresponse.

Required assumptions

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

  • 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.

  • Original Pauli and v419 F20 source words

    Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.

Original evidence

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 201–231

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • check_doily_record_orientation.py lines 1–106

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_doily_record_orientation.py

    4deb52b5132693a1ddd99cefb49c301b6cacfef62d26a0412cec932b4dfe0d5e

  • DOILY-RECORD-ORIENTATION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 401–463

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • PROOF.txt lines 201–275

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • RECORD_COMPOSITION.md lines 1–80

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-origin-audit-20260913/RECORD_COMPOSITION.md

    4315e685767b41b987d6b323825f971bf130ea379be2b50296ebb6dfa3357b6d

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 53–88

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 313–341

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

finding:actual-e8-record-words-distinguish-order-and-retain-phase-beyond-fifteen-labels

Established in scope

Actual E8 record acts as signed p plus compatible point with typed Sym² lift

In the question: Automated construction of operator maps and sources

Exactgivensixtyeventsource,notphysicalclock/state/recordselection. DoilyandgenericPauliactionknown;newexplicitincidencecomparisonandactualH10observable/sectorlift. Not15orthogonalprojectorsorsites.

Read the exact result, assumptions and evidence

Result

FouroriginalraysperDoilylineLshareunsignedinvolutionfL,fixLandswapsixpairs. Outsidep hasuniquecommutingqinLbutactualoutputfL(p)=p+q,notq;720originalcases/180incidences. rW_pr*=epsilonW_f andactualU_zJ_pU_z*=epsilonJ_f,all900pairs. Q_p+->Q_f^epsilon rank3,mixedrest4. UnsignedcountsT=(3I+2A)/15 symmetricwithspec1,(1/3)^9,(−1/5)^5;fundamentalsignedoperatorresponseW_p/5. NeitherTnorC4restrictionisfullEndH10channel.

Required assumptions

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

  • 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.

  • Original Pauli and v419 F20 source words

    Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.

Original evidence

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • DOILY-RECORD-ORIENTATION-PROOF.txt lines 201–231

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION-PROOF.txt

    b9c40dedbb7c84921d7209bc6f0928cd3931e7463993ab989c6b01f37dc2b7ed

  • check_doily_record_orientation.py lines 1–106

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_doily_record_orientation.py

    4deb52b5132693a1ddd99cefb49c301b6cacfef62d26a0412cec932b4dfe0d5e

  • DOILY-RECORD-ORIENTATION.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • DOILY-RECORD-ORIENTATION.json lines 401–463

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DOILY-RECORD-ORIENTATION.json

    ad4e228f795c3bab15a5301cdcbbc092dc75f22f1dbffbb1b8ecd5f81f8939be

  • source_channel.py lines 49–149

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py

    3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593

  • PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • PROOF.txt lines 201–275

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/PROOF.txt

    bf1f85c99f5f89a0a15da1af5e3ff321c2756fda132a9f8d644f9ce0e08c2f5c

  • RECORD_COMPOSITION.md lines 1–80

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-origin-audit-20260913/RECORD_COMPOSITION.md

    4315e685767b41b987d6b323825f971bf130ea379be2b50296ebb6dfa3357b6d

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 53–88

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

  • 002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex lines 313–341

    Source checked at this snapshot

    Original location and fingerprint

    documents/local/tfpt-kernessenz-deutsch-2026-10-15-v2/sections/002-subsection-ein-scharfes-hindernis-f-r-homogene-lindbladz.tex

    e97fd48855e777837c9f774409d7f80e2bed9eb8dc2a47314976977421631b3a

finding:actual-e8-record-doily-action-is-signed-p-plus-compatible-point-with-typed-sym2-lift

Scoped exclusion

Unchanged free quarter source is not a nontrivial integrated positive Higgs source

In the question: Automated construction of operator maps and sources

ExclusionONLYforthisunchangedidentifiedsourcecall,notglobalTFPTno-go. PrimitivefreeBEFOREHintegrationallowed;actualfield-dependentcarrier/insertionmapmaychangerelevantresponseandmustbederived. R054Gaussianreplacementexclusionnotcountedasanewindependentconfirmation.

Read the exact result, assumptions and evidence

Result

t_p(u)isstrictlydecreasingforeachp>0. UnderEXPLICITunchangedmarkedfieldidentity,thegivenfreeellipticrightdatumatell2piist_p(0)=1−(1+exp4pip)^−1. Exactagreementatonesinglepunderpositivemixtureforcesmu=delta0. SamefreeprimitivecovariancecannotalreadybenontriviallyH-integratedsourceinthisidenticaldictionary. Actualfreevaluesreplayedat2/4/8samples;physicalcarrieridentityremainshypothesis.

Required assumptions

  • One original common positive constant Higgs source over the whole quarter mode tower

    Samegivenoriginal96Yukawa/Higgs/Majoranaconsumerh_H(p)=p gamma−i gammaPhi(H),samefixedrightupfamilyvectorofgivenYu*Yu,y²>0,allp=n+alpha,n≥0,alpha1/4or3/4,onefixedell>0. Originalellipticnormalizationell2piretained. ONEpositivenormalizedfulllawoverfiniteconstantu=H*Hyieldsallaveragedconditionalt_p(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)). AllRef/Eta/det/Pf/Z0andotherintegratedweightsbelongtothisSAMElaw,notrefittedpermode. NoHmomentorcompactnessassumption. Extra conditionalfermionverticesorH(x)changingthegivenconditionalformareoutofscope. NoidentitywithprimitiveC_Sigma/physicalcarrier/originassumed.

  • 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.

  • Original quark Higgs consumer and actual positive conditional source mixture

    Given whole96 Phi(H)=L(H)+DM with original q and fixed supplied Y/MR;existing constant common quarter circle p=1/4,ell>0,h=p gammaF−i gammaF Phi,second-face C_H. Existing charged left-quark CAR subalgebra is conditionally quasifree with A_H tensor I_color3 and zero anomalous pairs. Actual full normalized H weight must give a positive mixture including Z_F/reference/eta and all factors. Strictness requires nonconstant u=HdaggerH and a nonzero quarkY. No new physical96-fold integration,measure derivation,general variable H(x)/connection or3+1D assumption.

  • Actual original rightup color triplet with fixed family vector and even color source

    Given original96 Phi(H),gamma_L+1,gamma_R−1,fixedp1/4,ell>0. Samefixed eigenvector of GIVEN Yu*Yu,y²>0,inall3originalrightupcolors;notnewphysicalstateselection. M*M=u diag(Yu*Yu,Yd*Yd) givesactualt(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)) on(a,b],a1/2,b(1+tanh(ell p))/2. Reader assumespositiveevenstateinvariantunderoriginalconstantSU3;finite modularlogrequiresfaithfuldensity. Forcednonlinearity and positivemixturetestONLYadditionallyunderR054positive normalizedwholeHmixturewithnonconstantradialu,includingwholedet/Pf,Ref,Eta,Z_F,Z0. Generalreaderdoesnotrequiremixture. No primitiveP1measure,physicaltimeorfull96modularrestrictionclaim.

Original evidence

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 201–204

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • check_quarter_tower_higgs_inverse.py lines 1–188

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_quarter_tower_higgs_inverse.py

    a09c2e4a8e2f9dcdf3b3868fc66f744bd3ec84b64a00ef9d56919dbbd4dd7da0

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 401–600

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    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 601–800

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    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 801–819

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt lines 1–196

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt

    f0de82f6ca8f7fa77bfd493bcd2d5bfaca970e6c6ad02635e7bfea470dbdfdc8

  • HIGGS-MIXTURE-WICK-PROOF.txt lines 1–150

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-MIXTURE-WICK-PROOF.txt

    1264ad59c4b8de007156b50e4fd0b352a868db1d82bfeafebb50e5173f99ec73

  • ORIGINAL-O1-HIGGS-LAW-PROOF.txt lines 1–124

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-O1-HIGGS-LAW-PROOF.txt

    df7786587b09d7075125e4d77adc077eb4aca081adf33efdb491581f8a24a5e3

  • v252_full_finite_triple.py lines 86–121

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • v252_full_finite_triple.py lines 202–212

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • ELLIPTIC-CURRENT-SOURCE.txt lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/native-arc-charge-source-interface-20261026/ELLIPTIC-CURRENT-SOURCE.txt

    657b2ace6d7152c53dbb29c76d8e0daca6e6b1ce747c535da7dffb0ff38d9b48

  • MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt lines 1–101

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt

    dad88bd82d64bababee05395644fb3368b8e2e458c08650979fec56597a035ff

finding:unchanged-free-quarter-source-cannot-be-nontrivial-integrated-higgs-mixture

Established in scope

Finite original tower reader and existing weak symmetry determine shared matter responses

In the question: Automated construction of operator maps and sources

Momentfreeradialtheorem;symmetrycorollaryONLYwithadditionalexistingR057field/covariance/invariancepremises,symmetrynotnewmeasureselection. Allwordsshareoriginalmu,noperwordfit. NoWickreplacementbyaveragedcovariance. FiniteboundassumesEXACTsampleagreement,notnoiseormeasuredistance.120-digitdiagnosticsnotrigorousintervalarithmetic. q1/2notnewphysicalmode/clock.129controls,noLean/paper/ledger.

Read the exact result, assumptions and evidence

Result

MultipointSchurforward/backwardrecursionreadstargetouterintervalsfromactualfinitepanswers. ExactagreementonNanswersineachquartergivesoccupationdifferenceatmathematicalq1/2≤2/(16N²−1);individualBlaschkeproducts1/(4N∓1). Occupation=1/(1−s),s∈(−1,0],derivative≤1,sofactor2correct. N1000eachgives2/15999999. PositivePickGramnecessaryonly,notStieltjesorH-classsufficiency. UnderadditionalunchangedR057weak-invariantpositiveHmarginalandgenuinefieldmap,xiHaarS3independentofradius;identifiedmufixeswholeconstantHmarginandeachGIVENconditionalfermionwordintmu intHaarW_A(sqrtu xi),withoriginalY/MR/Pf/phases. Direct96leptonresponsefromsamereconstructeddiagnosticlawagreeswithoutYfit.

Required assumptions

  • One original common positive constant Higgs source over the whole quarter mode tower

    Samegivenoriginal96Yukawa/Higgs/Majoranaconsumerh_H(p)=p gamma−i gammaPhi(H),samefixedrightupfamilyvectorofgivenYu*Yu,y²>0,allp=n+alpha,n≥0,alpha1/4or3/4,onefixedell>0. Originalellipticnormalizationell2piretained. ONEpositivenormalizedfulllawoverfiniteconstantu=H*Hyieldsallaveragedconditionalt_p(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)). AllRef/Eta/det/Pf/Z0andotherintegratedweightsbelongtothisSAMElaw,notrefittedpermode. NoHmomentorcompactnessassumption. Extra conditionalfermionverticesorH(x)changingthegivenconditionalformareoutofscope. NoidentitywithprimitiveC_Sigma/physicalcarrier/originassumed.

  • 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.

  • Original quark Higgs consumer and actual positive conditional source mixture

    Given whole96 Phi(H)=L(H)+DM with original q and fixed supplied Y/MR;existing constant common quarter circle p=1/4,ell>0,h=p gammaF−i gammaF Phi,second-face C_H. Existing charged left-quark CAR subalgebra is conditionally quasifree with A_H tensor I_color3 and zero anomalous pairs. Actual full normalized H weight must give a positive mixture including Z_F/reference/eta and all factors. Strictness requires nonconstant u=HdaggerH and a nonzero quarkY. No new physical96-fold integration,measure derivation,general variable H(x)/connection or3+1D assumption.

  • Actual original rightup color triplet with fixed family vector and even color source

    Given original96 Phi(H),gamma_L+1,gamma_R−1,fixedp1/4,ell>0. Samefixed eigenvector of GIVEN Yu*Yu,y²>0,inall3originalrightupcolors;notnewphysicalstateselection. M*M=u diag(Yu*Yu,Yd*Yd) givesactualt(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)) on(a,b],a1/2,b(1+tanh(ell p))/2. Reader assumespositiveevenstateinvariantunderoriginalconstantSU3;finite modularlogrequiresfaithfuldensity. Forcednonlinearity and positivemixturetestONLYadditionallyunderR054positive normalizedwholeHmixturewithnonconstantradialu,includingwholedet/Pf,Ref,Eta,Z_F,Z0. Generalreaderdoesnotrequiremixture. No primitiveP1measure,physicaltimeorfull96modularrestrictionclaim.

  • Given O1 isometry and additional weak-invariant positive Higgs covariance marginal

    Named identifiability test only:original normal O1 space C2 with actual supplied normalized embedding T and compatible unitary WEAK SU2 identification,normalspin2/weak2/spin4 distinct. Even additional actual positive normalized invariant H marginal with EHH*=cI,c>0 is GRANTED,not derived from index/P=T T*. Fourth moments only where finite. Four real H coordinates and original whole96 Phi/Y/MR unchanged. Fourier readout requires actual positive original Euclidean field source/commuting image and H=T*varphi_N,not a replacement for their origin.

Original evidence

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 201–204

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • check_quarter_tower_higgs_inverse.py lines 1–188

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_quarter_tower_higgs_inverse.py

    a09c2e4a8e2f9dcdf3b3868fc66f744bd3ec84b64a00ef9d56919dbbd4dd7da0

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 401–600

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 601–800

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 801–819

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt lines 1–196

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt

    f0de82f6ca8f7fa77bfd493bcd2d5bfaca970e6c6ad02635e7bfea470dbdfdc8

  • HIGGS-MIXTURE-WICK-PROOF.txt lines 1–150

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-MIXTURE-WICK-PROOF.txt

    1264ad59c4b8de007156b50e4fd0b352a868db1d82bfeafebb50e5173f99ec73

  • ORIGINAL-O1-HIGGS-LAW-PROOF.txt lines 1–124

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-O1-HIGGS-LAW-PROOF.txt

    df7786587b09d7075125e4d77adc077eb4aca081adf33efdb491581f8a24a5e3

  • v252_full_finite_triple.py lines 86–121

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • v252_full_finite_triple.py lines 202–212

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • ELLIPTIC-CURRENT-SOURCE.txt lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/native-arc-charge-source-interface-20261026/ELLIPTIC-CURRENT-SOURCE.txt

    657b2ace6d7152c53dbb29c76d8e0daca6e6b1ce747c535da7dffb0ff38d9b48

  • MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt lines 1–101

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt

    dad88bd82d64bababee05395644fb3368b8e2e458c08650979fec56597a035ff

finding:finite-original-tower-reader-and-existing-weak-symmetry-fix-shared-matter-responses

Established in scope

Whole original quarter occupation tower uniquely reconstructs the common radial Higgs law

In the question: Automated construction of operator maps and sources

Exactidentifiabilityandconstructiveradialinverseinthisoriginalcommonconstant-sourceclass. NOTphysicalmeasureselection/computationofmissingmastervalues/H(x)/otherfieldjointlaw/physicaltime/4Dorigin. Onesinglewholetowersuffices;bothimprovefinitebounds. Noarbitraryanalyticinterpolationwithoutpositive-realclass. R062fixedtripletambiguityretained:differentinputinformation.

Read the exact result, assumptions and evidence

Result

F(z)=int z tanh(ell sqrt(z²+y²u))/sqrt(z²+y²u)dmu isholomorphicpositive-realintheRHPwithoutHmoments. Coshproductgives2/ell sum_j z/(z²+y²u+omega_j²),omega_j=pi(j+1/2)/ell. ExplicitSchwarznormal-familybounduniformujustifiestheintegral. BoundedCayleyfunctionatactualp_n=n+alpha uniquelyfixesFbydivergentBlaschkesum. F(sqrtz)/sqrtz is2/ellStieltjesofsigma=sum_j T_omega_j²nu,nu=(y²)_*mu. Fixedbackshiftgivesrho=nu+sum_j≥1 T_delta_jnu,delta_j=pi²j(j+1)/ell². CumulativeV(x)=R(x)−sum_delta≤xV(x−delta)isfinitewell-foundedtriangularrecursiononeachcompact,recoveringnuincludingatoms.

Required assumptions

  • One original common positive constant Higgs source over the whole quarter mode tower

    Samegivenoriginal96Yukawa/Higgs/Majoranaconsumerh_H(p)=p gamma−i gammaPhi(H),samefixedrightupfamilyvectorofgivenYu*Yu,y²>0,allp=n+alpha,n≥0,alpha1/4or3/4,onefixedell>0. Originalellipticnormalizationell2piretained. ONEpositivenormalizedfulllawoverfiniteconstantu=H*Hyieldsallaveragedconditionalt_p(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)). AllRef/Eta/det/Pf/Z0andotherintegratedweightsbelongtothisSAMElaw,notrefittedpermode. NoHmomentorcompactnessassumption. Extra conditionalfermionverticesorH(x)changingthegivenconditionalformareoutofscope. NoidentitywithprimitiveC_Sigma/physicalcarrier/originassumed.

  • 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.

  • Original quark Higgs consumer and actual positive conditional source mixture

    Given whole96 Phi(H)=L(H)+DM with original q and fixed supplied Y/MR;existing constant common quarter circle p=1/4,ell>0,h=p gammaF−i gammaF Phi,second-face C_H. Existing charged left-quark CAR subalgebra is conditionally quasifree with A_H tensor I_color3 and zero anomalous pairs. Actual full normalized H weight must give a positive mixture including Z_F/reference/eta and all factors. Strictness requires nonconstant u=HdaggerH and a nonzero quarkY. No new physical96-fold integration,measure derivation,general variable H(x)/connection or3+1D assumption.

  • Actual original rightup color triplet with fixed family vector and even color source

    Given original96 Phi(H),gamma_L+1,gamma_R−1,fixedp1/4,ell>0. Samefixed eigenvector of GIVEN Yu*Yu,y²>0,inall3originalrightupcolors;notnewphysicalstateselection. M*M=u diag(Yu*Yu,Yd*Yd) givesactualt(u)=1/2+p tanh(ell sqrt(p²+y²u))/(2sqrt(p²+y²u)) on(a,b],a1/2,b(1+tanh(ell p))/2. Reader assumespositiveevenstateinvariantunderoriginalconstantSU3;finite modularlogrequiresfaithfuldensity. Forcednonlinearity and positivemixturetestONLYadditionallyunderR054positive normalizedwholeHmixturewithnonconstantradialu,includingwholedet/Pf,Ref,Eta,Z_F,Z0. Generalreaderdoesnotrequiremixture. No primitiveP1measure,physicaltimeorfull96modularrestrictionclaim.

Original evidence

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 1–200

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt lines 201–204

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE-PROOF.txt

    fc4fb8e221aed1f4802ecb00a2d93578bd629ab08783378fcd364d135d1d90cc

  • check_quarter_tower_higgs_inverse.py lines 1–188

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_quarter_tower_higgs_inverse.py

    a09c2e4a8e2f9dcdf3b3868fc66f744bd3ec84b64a00ef9d56919dbbd4dd7da0

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 1–200

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 201–400

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 401–600

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 601–800

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • QUARTER-TOWER-HIGGS-INVERSE.json lines 801–819

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json

    f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524

  • HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt lines 1–196

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-COLOR-MODULAR-SOURCE-PROOF.txt

    f0de82f6ca8f7fa77bfd493bcd2d5bfaca970e6c6ad02635e7bfea470dbdfdc8

  • HIGGS-MIXTURE-WICK-PROOF.txt lines 1–150

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-MIXTURE-WICK-PROOF.txt

    1264ad59c4b8de007156b50e4fd0b352a868db1d82bfeafebb50e5173f99ec73

  • ORIGINAL-O1-HIGGS-LAW-PROOF.txt lines 1–124

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-O1-HIGGS-LAW-PROOF.txt

    df7786587b09d7075125e4d77adc077eb4aca081adf33efdb491581f8a24a5e3

  • v252_full_finite_triple.py lines 86–121

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    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • v252_full_finite_triple.py lines 202–212

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    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • ELLIPTIC-CURRENT-SOURCE.txt lines 1–178

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    experiments/theory-contracts/native-arc-charge-source-interface-20261026/ELLIPTIC-CURRENT-SOURCE.txt

    657b2ace6d7152c53dbb29c76d8e0daca6e6b1ce747c535da7dffb0ff38d9b48

  • MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt lines 1–101

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    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt

    dad88bd82d64bababee05395644fb3368b8e2e458c08650979fec56597a035ff

finding:whole-original-quarter-occupation-tower-uniquely-reconstructs-common-radial-higgs-law

Approaches and conclusions

The reviewed decision record says which approach can be reused, which failed in its scope and what a new attempt would have to change.

Reusable result

Repeat unchanged known CAR synthesis calibration

The declared control domain was exhausted. Its result calibrates the search software.

Consequence: For new research extend the actual operator contract or structural grammar, rather than only changing seed or runtime.

Reusable result

Repeat unchanged finite kernel calibration

Exact finite completions and shortest degree5 separation are available; the campaign persists reusable results.

Consequence: A source-grounded new operator/composite-field relation, another justified representation, or full OS/seam data. Seed, runtime or a numerical gap alone do not close an original contract.

Insufficient for the goal

Select the field map from traces and the joint Ward identity alone

These data do not determine the fixed pair response in the tested inverse contract. The joint identity remains a valid consistency check.

Consequence: Derive the actual local field map and source insertions from the original action; test the multifield response or full appropriate Schwinger-Dyson identity. Do not impose a free creator equation on the interacting action.

Reusable result

Reconstruct the complete kernel rather than separate action and measure

The full link action follows without a Gaussian assumption in the given dictionary.

Consequence: Derive the original field dictionary and T[Φ].

Scoped exclusion

Generate spinor matter from local composites of the unchanged NS vector fermionization

The central kernel element acts trivially on the entire unchanged generator algebra, and local products cannot generate spinorial character.

Consequence: A source-grounded sector/field extension with actual charged intertwiners or another demonstrated group/source map. New coefficients or longer composite searches do not change this premise.

Reusable result

Repeat the unchanged given thermal query-feedback control

Compatible mixed-state completion and automatic one-transfer query are validated in the existing entry point. The control does not derive its source from P1.

Consequence: For progress on the original goal supply the actual local P1 insertion or a newly source-derived multifield response. Do not feed candidate predictions back as source facts, change only seed/runtime, or substitute a new pure/free source.

Reusable result

Exact kernel and common original insertion contract

New concrete source tests are executed, including a minimal operator counterexample. General synthesis software and Universalraum/GNS results already existed.

Consequence: For origin progress use independently original insertion images or a newly derived common response; do not repeat the same controls.

Scoped exclusion

Continue searching E8 single-anchor Weyl polynomials

The entire polynomial class reduces analytically to I,X and is excluded; random/genetic search cannot find a missing triplet coupling in it.

Consequence: An additional originally derived family-distinguishing operation, different field type or actual higher-product process changes the class and must be tested separately.

Browse all approaches for this question

What is resolved, and what remains

Resolved in scope

Calibrate new search without supplying the target map

Generate a known map, eliminate the wrong linearity type using a learned counterexample, and pass adversarial exact-verifier tests.

Open task

Synthesize a joint field, marking and transfer dictionary

The same generated map satisfies actual field products, adjoints, carrier marking, quarter domain, and state/time transport in a source-grounded representation.

Next investigation: Continue F1 from R034/R035. Whole supplied96 inner Higgs producer and central scale/affine full-source map are evaluated. Resolve actual original B_Ea/bosonic-relative reduction into Brel and SAME Tr_rel,with first symbol/domain,normal mode embedding/metric and actual insertion into existing wedge-to96 H map. Use full Gram transport if actual Bsigma=fBf;retain induced connection/exterior memory. No bare5 mass,free overlap exponent,scale/Y/lift scan or new Brel definition. Retain original reference/eta/scale/trace/H0/Z0 and complete state/time/RP/Flavor/Alpha/E8/clocks. Decide common H and Einstein jets of actual producer before full H source closure.

Builds on: Calibrate new search without supplying the target map

Open task

Search for the positive common source kernel itself

Construct unknown positive word kernels from original relations and establish continuation stability and actual time/field action. A finite positive moment matrix alone is insufficient.

Next investigation: Reuse existing kernel construction,exact completion and discrimination under plan C1/F1 and SEARCH-METHODS S3/S4. Read and update docs/research/fundamental-plan/progress.json and RESULTS.md on continuation. The offline replay confirms the two given complete finite clustering kernels with2245 moments each and ten length5 separators. This tool control is not physical source selection. New search requires a concrete originally derived source-control relation; do not optimize old classes or extremal objectives as a physical selector. Do not reactivate the stopped automation.

Builds on: Automatically construct, certify and distinguish finite kernels; Repair search conditions against source types and collar controls

Resolved in scope

Automatically construct, certify and distinguish finite kernels

Generate unknown moments; exactly verify successful complete realizations while incomplete tables remain candidates; emit the shortest distinguishing word response.

Resolved in scope

Repair search conditions against source types and collar controls

Feasibility is default; heat and thermal GNS controls use compatible representations without forced pure states.

Resolved in scope

Reconstruct multi-field sewing of the canonically identified boundary source

State ray from CAR projection and operator ray from oriented boundary pairing; exact products and chronological composition, with absolute scalar explicitly missing.

Builds on: Repair search conditions against source types and collar controls

Resolved in scope

Retain absolute reference amplitude in search

Campaign, cache and direct certifier distinguish lambda and transfer type; no certificate under silent T Omega=Omega.

Resolved in scope

Integrate supplied free source including boundary response and scalar

Direct Berezin integration and independent determinant formula agree including complex sources, Schur factor and signs.

Resolved in scope

Convert the full finite CAR kernel into a link functional

Exact roundtrip, sewing and trace with higher vertices and scalars.

Resolved in scope

Execute actual shared Higgs source with full matter words and local RP

Original whole one-form consumer and complete induced source rule with precise mixed coefficient; valid scoped common RP sewing.

Resolved in scope

Reduce whole constant original Higgs spectral fiber

Whole96 left rotation with Majorana and exact reduced determinant with first whole-circle jet.

Open task

Resolve original geometric Higgs residue sign and field map

Same complete original source explains H²/H⁴ signs and normalization in target potential,or a concrete original identification is corrected from source; no free extra action.

Next investigation: Identify actual original normal field insertion and equivariant T from primitive source;execute whole imaginary-source restriction Zorig[iTj]/Zorig0,not chosen Gaussian prior or covariance alone. Keep complement/mixed fields and reference/eta/Z0. Radial classification only for actual invariant marginal;preserve all whole-theory results.

Resolved in scope

Evaluate local original Higgs heat identification and whole finite consumer

Decide first H²/RH² heat identification exactly and evaluate whole96 moments through named conditional consumer without choosing new Y.

Resolved in scope

Execute whole inner Higgs scale/source and normal kernel transport

Scale actual supplied whole Higgs vertex without double counting,retain full finite affine source,and determine typed whole normal kernel transport.

Resolved in scope

Execute given whole superconnection and normal spectral reader

Type-check ordinarytwoform/Higgsderivative;distinguish compressed andweightedheat;derive complete conditional normalblock/trace/source reader throughH4 withoutinventing originalblocks.

Resolved in scope

Determine own-admissibility and whole total-chiral spectral readers

Evaluate original admissibility heat/zeta/residues and given total-chiral product trace for all allowed spectral functions. Preserve zero modes,index,reference and domains;identify the unproved original operator map.

Resolved in scope

Derive whole scale-energy map,normal profile and relative flow

Derive exact whole scale/domain/normaltrace and spectral reader,reconstruct entire normal profile class from specified first energy response,separateFP/residue/anomaly with actualBrel defect.

Resolved in scope

Execute original Green energy producer and mixed scale readout

Supply whole originalR040energy response with correctstate projection and readW from specified original scale response with dynamicweight covariance.

Resolved in scope

Match current action argument and common Higgs/gravity weights

Translateactualcurrentmomentargument,testwholepositiveclasswithreferenceexception,evaluateexistingwholeH/Einsteinconsumerwithsameweights.

Resolved in scope

Execute original whole four-ghost source and geometric type test

Evaluate whole actual ghost complex,cohomology,traces and energy source;compare geometric and selector operators by actual spectral type.

Resolved in scope

Execute original moving normal kernel derivative and whole source response

Differentiate actual R035 kernel including matrix normalization,derive A/C/whole covariance from original B and retain whole mixed source;do not call additional premises an origin derivation.

Resolved in scope

Decide fixed original O1 source and normal operator placement

Decide whole positive multiplier class on originalV,compare both operator placements with derivative/symbol and isolate actual original variation tensor.

Resolved in scope

Compare whole Higgs mixture and covariance reader on invariant four-field witness

Derive internal-frame invariant four-field test on actual original quark block and decide entire stated positive H-weight class analytically without choosing physical H measure.

Resolved in scope

Test exact bounded cutoff on whole ordinary Higgs volume

Decide stated finite-trace-to-measure inference on explicit whole Higgs volume class analytically without inventing original measure.

Resolved in scope

Test whole original circle joint mode and IR Higgs normalization

Decide R055 rank loophole on whole given original circle with actual Phi/reference and uniform proof,without new geometry or measure.

Resolved in scope

Test original O1 mode covariance against whole Higgs-law class

Test first modekernel→sourcelaw identification without measure choice,classify whole added invariant class and name actual original-source readout with limits.

Open task

Reconstruct original localization from the whole process

Same original whole source determines actual localized subalgebra family and state/time action without freely supplied target geometry;prove causal/dimensional identification,physicalcarrier and subsequenttensorresponse. Distinguish source gap from exclusion.

Next investigation: After R084 retain whole theory: under the hypothesized same scalar shift the complete coupled 36-quark constant-H circle yields relative determinant 1 despite nonzero H response; gamma+ marginal yields (1−z)^−18. One-sided shift of the FULL coupled space is S2 not S1 for nonzero mass. A mathematical whole-pair det2 reader exists and finite native checks indicate Higgs dependence; original Z0/ref/eta is not thereby fixed. Compare actual original seam shift, restriction and R080 ordered det2 source on same carrier/clock/reference/eta/Z0/PQ word contract and derive trace correction; no free regulator.

Resolved in scope

Test bare native-code word compression against actual locality

Exactly compare actual disjoint local operations of same original source before/after codecompression and identify omitted word cancellation.

Resolved in scope

Decide original geometric local-time class and execute actual interval reader

Test actualsupportedtimewitness andwhole statedclass againstactualwholestate;providepositivefreeCAR reader/domain/actualwordcheck.

Resolved in scope

Execute actual original color-spinor CAR four-word and complete spin-sector sewing

Produce entire original response with cocycle,time/modes/zero modes and absolute sector traces;independently recover actual kernel and full thermal sewing under SAME center.

Resolved in scope

Decide actual color admissibility of density operations and coordinate regions

Decide complete given scalar-variation class and coordinate regions with actual M/center/source;retain whole charged intermediate words and originaltime.

Resolved in scope

Execute actual whole seam-operation class and two-face response

Analytically decide whole matrix multiplication reduction/implementation and exact original response;preserve Cauchy/Fock/OS types.

Connections to other questions

shares unresolved input

Future quotient and positive GNS reconstruction

Existing GNS reconstruction now has executable synthesis of unknown positive kernels. Exact finite completions provide checks and discriminating responses; original source constraints and physical identification remain to be derived.

shares unresolved input

Physical time and complete transfer

With actual CAR and amplitude identification the full boundary projection determines all field-product amplitudes, not only a restricted density. Original physical identification and the absolute scalar remain source-level tasks.

shares unresolved input

Historical: common source, state and event selection

The joint absolute source and eta/sea/Ward identity remain valid conditionally. Originals use a stronger operational seed; classical Green pairing follows from supplied Dirac data. The corrected search requires total operator/domain and original fixed multifield response; matching traces and two-field data is insufficient in the tested inverse contract.

shares unresolved input

Future quotient and positive GNS reconstruction

The whole given Clifford source realizes the old positive-word/GNS bridge with marked R and circle time. The new kernel identifies all scalar-future channels; shared insertion images exhibit distinguishing continuations. This selects neither the original physical alphabet nor an absolute Universalraum ontology.

shares unresolved input

Common clock sectors, quartic geometry and operational reconstruction

Retain the entire scoped structure/spin/deck/Fuchs/domain/source chain, actual reverse kernel, native D5/glue E8 action, state/reflection/time. Actual induction of the old unit winding gives a finite reader with a proved nonzero moment. Whole96 Clifford/KO continuation passes, and original primitive wedge consumer explicitly reads it with the fixed KO sign. No missing weak-operation gate remains. Next shared-source comparison concerns the original HolK coefficient formula, possibly through actual variation/summand, without requiring universal Hardy=Y. Full physical generation is not proved; preserve prior scoped exclusions and avoid new O/p-source/state/quarter/QY gates. ActualGmetric path closesU6/Kstrframe; The reviewedfailsKO/SU2. Next is originalinsertion,not freemetric. Actualoriginalreal delta jet and allfour openpaths are nowexecuted. Typedendpointquarter actions preclude a universaltracecancellation; execute the originalwholeconsumer. Preserve completeGram differential and allfour openedgecharacters; rank1compression and real-onlyresonance approximation do not replace the whole source.

Original historical attempts linked to this question

These are original research records. Their reported verdicts are distinct from the reviewed results above.

seam collar multifield 20261016

Does the corrected search accept the known collar source, and what full multi-field sewing follows from its actual boundary data?

Recorded verdict: PARTIAL

Historical inventory; not independently reviewed by this export.

  • contract_index.json lines 1–125

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    experiments/theory-contracts/seam-collar-multifield-20261016/contract_index.json

    78eae9d2cbb3ae117a75c80252b096a70e60dbff0a9544952391840e616b9a1e

  • PROOF.txt lines 1–698

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    experiments/theory-contracts/seam-collar-multifield-20261016/PROOF.txt

    3537a2b080df0bb8b5d30c73da7dd83dc8e1ae5a6cfea4bb48a8b99f0080dfce

  • README.md lines 1–97

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    experiments/theory-contracts/seam-collar-multifield-20261016/README.md

    686c298c08f94294e53130673eeec88e50fad174d1fba50464459881ee822af4

  • collar_control.py lines 1–609

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    experiments/theory-contracts/seam-collar-multifield-20261016/collar_control.py

    4f1ab2edac2f8a1b0a74e424a9e6d0df50bc8e51df89093ba35fc2fe23e7a52d

  • source_manifest.json lines 1–308

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    experiments/theory-contracts/seam-collar-multifield-20261016/source_manifest.json

    229b02abc90b59e3dcec172e43ea4f20ee1bfee49b78c425d2fad08909d6331c

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    4783f526a49dfb708d496a3910392bb8aecf2b9c307f9542d3ed113aae2a4faa

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  • E8-BOUNDARY-DICTIONARY.txt lines 1–128

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    experiments/theory-contracts/seam-collar-multifield-20261016/E8-BOUNDARY-DICTIONARY.txt

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  • boundary_amplitude.py lines 1–74

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    experiments/theory-contracts/seam-collar-multifield-20261016/boundary_amplitude.py

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  • charged_pair_control.py lines 1–337

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    experiments/theory-contracts/seam-collar-multifield-20261016/charged_pair_control.py

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  • chiral_tail_control.py lines 1–35

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    experiments/theory-contracts/seam-collar-multifield-20261016/chiral_tail_control.py

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  • e8_boundary_response.py lines 1–294

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  • joint_source.py lines 1–315

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    experiments/theory-contracts/seam-collar-multifield-20261016/joint_source.py

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    experiments/theory-contracts/seam-collar-multifield-20261016/kernel_functional.py

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    experiments/theory-contracts/seam-collar-multifield-20261016/origin_operator_checks.py

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  • absolute-quarter-source-observables.json lines 1–1977

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  • collar-control.json lines 1–2016

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  • source-sewing.json lines 1–27

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  • thermal-source-observables.json lines 1–46

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  • test_boundary_amplitude.py lines 1–39

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  • test_charged_pair_control.py lines 1–73

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  • test_e8_boundary_response.py lines 1–41

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  • finite_completion.py lines 1–285

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  • kernel_search.py lines 1–274

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  • run_search.py lines 1–216

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  • origin_theory.tex lines 1–1

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    origin_theory.tex

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  • tfpt_1_architecture_e8.tex lines 1–1

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    tfpt_1_architecture_e8.tex

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  • v154_simple_current_theorem.py lines 1–107

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    verification/v154_simple_current_theorem.py

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  • v156_seam_net_construction.py lines 1–134

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    verification/v156_seam_net_construction.py

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    verification/v15_bootstrap_classification.py

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  • v161_one_particle_reduction.py lines 1–185

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    verification/v161_one_particle_reduction.py

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  • v162_seam_transport_identification.py lines 1–161

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    verification/v162_seam_transport_identification.py

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  • v175_net_existence_full_cone.py lines 1–164

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    verification/v175_net_existence_full_cone.py

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  • v350_bootstrap_inputs_correction.py lines 1–108

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    verification/v350_bootstrap_inputs_correction.py

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  • v351_continuum_realisation_sharpened.py lines 1–97

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    verification/v351_continuum_realisation_sharpened.py

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  • v352_framework_irreducible.py lines 1–92

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    verification/v352_framework_irreducible.py

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  • v6_bootstrap.py lines 1–50

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    verification/v6_bootstrap.py

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  • P1-INSERTION-TANGENT.txt lines 1–213

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  • p1_insertion_tangent.py lines 1–195

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  • p1-insertion-tangent.json lines 1–84

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    experiments/theory-contracts/seam-collar-multifield-20261016/results/p1-insertion-tangent.json

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  • v258_dirac_covariance_induction.py lines 1–161

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    verification/v258_dirac_covariance_induction.py

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  • P1-COVARIANT-INSERTION.txt lines 1–213

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  • p1-covariant-source-jet.json lines 1–11

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    experiments/theory-contracts/seam-collar-multifield-20261016/results/p1-covariant-source-jet.json

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  • PROOF.txt lines 1–237

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  • PROOF.txt lines 1–293

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  • BOUNDARY-OPERATION-PROOF.txt lines 1–206

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    experiments/theory-contracts/seam-collar-multifield-20261016/BOUNDARY-OPERATION-PROOF.txt

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  • boundary_operation_response.py lines 1–89

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    experiments/theory-contracts/seam-collar-multifield-20261016/boundary_operation_response.py

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  • boundary_operation_response_results.json lines 1–75

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  • ACTION-INTERVENTION-SEWING.txt lines 1–188

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  • action_intervention_sewing.py lines 1–64

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    experiments/theory-contracts/seam-collar-multifield-20261016/action_intervention_sewing.py

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  • action_intervention_sewing_results.json lines 1–74

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  • findings_overrides.json lines 1–1396

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    verification/findings_overrides.json

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seam operator synthesis 20261015

Can typed operator programs and simultaneous inverse intertwiner synthesis generate and exactly check shared operator maps without supplying the desired map?

Recorded verdict: PARTIAL

Historical inventory; not independently reviewed by this export.

  • contract_index.json lines 1–56

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    experiments/theory-contracts/seam-operator-synthesis-20261015/contract_index.json

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  • README.md lines 1–5

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    experiments/theory-contracts/seam-operator-synthesis-20261015/README.md

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  • README.md lines 1–107

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  • clifford_search.py lines 1–294

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/clifford_search.py

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  • source_manifest.json lines 1–52

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    experiments/theory-contracts/seam-operator-synthesis-20261015/source_manifest.json

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  • intertwiner_search.py lines 1–218

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/intertwiner_search.py

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  • proof_check.py lines 1–168

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/proof_check.py

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  • OperatorTransport.lean lines 1–220

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  • lean-receipt.json lines 1–100

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/lean-receipt.json

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  • results.json lines 1–184

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  • inverse-control.json lines 1–167

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  • test_clifford_search.py lines 1–136

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/test_clifford_search.py

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  • test_intertwiner_search.py lines 1–99

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    experiments/theory-contracts/seam-constructive-search-20261015/operator_synthesis/test_intertwiner_search.py

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  • PROOF.txt lines 1–253

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    experiments/theory-contracts/seam-partner-original-action-20261015/PROOF.txt

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  • PROOF.txt lines 1–221

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    experiments/theory-contracts/seam-full-collar-reconstruction-20261015/PROOF.txt

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  • findings_overrides.json lines 1–1396

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    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

seam positive kernel search 20261015

Can unknown positive word kernels be constructed, exactly completed and distinguished without supplying a target Hamiltonian or state?

Recorded verdict: PARTIAL

Historical inventory; not independently reviewed by this export.

  • contract_index.json lines 1–87

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/contract_index.json

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  • README.md lines 1–281

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/README.md

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  • proof_check.py lines 1–477

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/proof_check.py

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  • source_manifest.json lines 1–141

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/source_manifest.json

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  • .gitignore lines 1–2

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/.gitignore

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  • exact_certificate.py lines 1–470

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/exact_certificate.py

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  • finite_completion.py lines 1–285

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/finite_completion.py

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  • kernel_search.py lines 1–274

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/kernel_search.py

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  • requirements.txt lines 1–6

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/requirements.txt

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/run_search.py

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-positive/next-source-question.json

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-zero-floor/next-source-question.json

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/m1-d3-floor-quarter-tight.json

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/m1-exact-certificate.json

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/test_proof_check.py

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/test_run_search.py

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/test_word_algebra.py

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    experiments/theory-contracts/seam-positive-kernel-search-20261015/word_algebra.py

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