Read the result in its research context.

Result

Actualrealcolorinsertiononoriginal36quarksubspacegivesXi_a,u(G)=prod_n,jdet3[I−s(E_j)(2I−G−G*)],E_j=sqrt((n+a)²+y_j²u),s=1/[4cosh²(bE/2)]. FillednegativeEcolortripletdetG1fixesseaphase. Summableuniformbound12exp(−b|p|)givesfulltowerconvergenceforallu>=0,allSU3. ForG!=I,u>0andnonzeroY,Xi_u>Xi_0. CartanvarianceK_a=4sum_ns(E)strictlydecreaseswithu,K_a0=3/pi. Actualoriginalpi/Jlift,36covariance/determinantandindependent64stateFocktraceexecuted.

Required assumptions

• Original color group counting on the whole constant quarter quark source

  Sameoriginalconditionalquasifree36-labelquarkPARTICLECARsubspaceperp=n+a,a=1/4or3/4,b=4pi,h=pgamma−igammaPhi,M=q(H)diag(Yu,Yd),q*q=uI2. GivenYremainfixed. ActualrealSU3liftusespiandJandactsidenticallyonL/Rcolor,notrawleftpiandnot96independentphysicalfermions. Retainwholemodetower,bothquartersatSAMEH,andallcomplement/ref/eta/ZF/H0/Z0inwholeweight. Boundedglobalgroupinsertionnotalreadyidentifiedwithlocal4D,EMormetricsource. PositiveHmixtureonlyunderactualpositivecompleteweight.

• 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 full v252 gauge lift and original P2 comparison

  Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.

• 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.

Original evidence

• HIGGS-COLOR-HOLONOMY-PROOF.txt lines 1–185

  Source checked at this snapshot

  Original location and fingerprint

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

  b018cd619e98f9cc05b1994cf18b77427af61932293070036dc633bad05adc2d

• check_higgs_color_holonomy.py lines 1–156

  Source checked at this snapshot

  Original location and fingerprint

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

  ec02f418064ef31e83a1abe0c762df45f0b761ff1d3b7c8b207d094eafd98494

• HIGGS-COLOR-HOLONOMY.json lines 1–200

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-COLOR-HOLONOMY.json

  805d44b18b540ab07af83cc81872ebef3e5b3c729dbe4f9466573a4b76ca3639

• HIGGS-COLOR-HOLONOMY.json lines 201–317

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-COLOR-HOLONOMY.json

  805d44b18b540ab07af83cc81872ebef3e5b3c729dbe4f9466573a4b76ca3639

• 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

• 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

• ORIGINAL-HIGGS-FIBER-PROOF.txt lines 1–43

  Source checked at this snapshot

  Original location and fingerprint

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

  67be41084a14e3934cbb2c743f3969c0443e5b9180b2f4cdeeed5a884d566a5e

• v252_full_finite_triple.py lines 63–168

  Source checked at this snapshot

  Original location and fingerprint

  verification/v252_full_finite_triple.py

  820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

• REVIEW-CLAUDE-P2.txt lines 1–120

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/tfpt-unified-source-derivation-20261029/graded_boundary_functor/old_source_embedding/REVIEW-CLAUDE-P2.txt

  274bb0ff37dfd8362568de0d6851a1807449f2c2870efe0f0739922a51b4e9d5

• 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-higgs-quark-source-has-exact-whole-su3-counting-response