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
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
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Original location and fingerprint
verification/v252_full_finite_triple.py
820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
- v252_full_finite_triple.py lines 202–212
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Original location and fingerprint
verification/v252_full_finite_triple.py
820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
- ELLIPTIC-CURRENT-SOURCE.txt lines 1–178
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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