Established in scope
Original weak wedge consumer reads the Hardy response with full KO reality
In the question: Automated construction of operator maps and sources
Exact operator and original carrier consumer under the declared family/96 P2 comparison. Original wedge contraction corrects the earlier overly broad claim that no original weak Clifford application exists; read the two earlier operator reports with this addendum. Original family coefficients are already prescribed by Hol(nablaF*)Kstr. It remains to compare the actual Hardy contribution with the relevant entry, actual variation or path summand, without imposing equality to the whole Ybr as a universal condition or treating original Y as arbitrary free v252 inputs. Keep mixed E8 family leg, fixed-background limits, C0 versus J_F, internal versus field CAR parity, and NS versus physical quarter time distinct. A correct finite block is not the complete physical source derivation. General addendum: identical familyM on all96slots yields S=M+M^T. Two directed edges give equal nonzero singular values, not unique polarCKM. Different bare doublet-component coefficients violate fixedSU2. Typed original sector-specific readers remain allowed.
Read the exact result, assumptions and evidence
Result
For the actual nonzero Hardy coefficient and marked original weak P2 creators, the exact commutator gives a nonzero grading-odd color-neutral weak doublet of hypercharge+1/2, rank16 for each component in the declared whole-96 comparison. All45 D5 Clifford bilinears commute with the even Hardy projection. Adjoint completion alone has rank32 and fails finite reality. Full original KO6 completion has rank64, is selfadjoint, grading odd and J_F real, with D_KO^2=|kappa|^2(E00+E22) tensor I32. All four sectors retain the same family matrix but fixed quark/lepton signs and antiparticle conjugations; no Majorana block. Actual checker replays and independent root algebra pass. Crucially, original carrier008 already contains the primitive exterior-volume coupling. Its actual up-quark channel reads the new directed coefficient as+kappa; the fixed signed KO Hilbert convention gives-kappa because compact conjugation reverses the complementary wedge. No phase is fitted. The original weak carrier consumer is therefore present.
Required assumptions
- 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 oriented exterior carrier
Given E=C5=E3⊕E2, a Hermitian metric, volume orientation, S± and Y=(-1/3)^3⊕(1/2)^2. Internal carrier labels are not physical vacua; geometric seam reflection is not identified with carrier conjugation.
- Alternative chiral comparison of q columns with actual v252 P2 carrier
For this explicitly alternative comparison identify actual G columns(L0,L2,L1) with supplied generation slots through whole signed P2 dictionary. D_E acts on gamma_F positive,barD_E on negative. Retain unchanged full_D with Y and symmetricMR,F5 structure,faces,graph state and given time. Do not silently replace earlier particlewise hypothesis. No P1 selection,global trivialization,new state/time or physicalE8gauge action assumed.
- 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.
- Original D5 base-current action on supplied P2 and E8 carrier
Original D5_1 x A3_1 base net and explicit P2 Clifford carrier supply full45-dimensional D5 operator action including20 non-U5 roots. Its zero modes act with the existing Chevalley cocycle on the supplied compact E8 currents; no primitive P1 preparation or history selecting a word is presumed.
- Relative spin and reference Hardy cable on original three-cover
Compare holomorphic Hardy shifts M_z on S0 tensor L and the same degree-zero coefficient line L over the original pi:C→P1_z. Spin half-forms give boundary norm; Fredholm convention is det kernel tensor inverse det cokernel. Relative line is spin line tensor inverse reference line. This defines a mathematical sewing contract, not an established identification with physical D_rel/D_ref or state.
- Original hard-holonomy contract with pure closed-triangle trace
Read original45 flavor sources defineY from canonical minimal paths of a Hermitian family connection andPi_triangle=Hol12Hol23Hol31 as ordered closed holonomy,delta=argtrace. DisplayedPi includes neitherKstr nor extraZ6operator. Nonreal asymptotic is a readout contract to test,not completed physical derivation. Active source retains absolute wall selector;no automatic physicalconnection=v117.
Original evidence
- ORIGINAL-PRIMITIVE-WEDGE-CONSUMER-HARDY-REVIEW.txt lines 1–123
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-PRIMITIVE-WEDGE-CONSUMER-HARDY-REVIEW.txt
f830ec1e84b614b175918fd7aad5659121c3f53d9f12693ab0bed602e4d4f87c
- 008-source.tex lines 155–245
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/008-source.tex
aa2731355579b961ea9de47532cb0a4cb3db6e1c29e0f18965b517d1280d8d85
- 004-source.tex lines 180–244
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--03_em_flavor_source/sections/004-source.tex
107d525221eb816043dbf4fb1a3c7e8244d3e24a5a5bcbfe1c2c34d8ee192f4a
- HARDY-BMU-WEAK-CLIFFORD-ODD-LIFT-REVIEW.txt lines 1–176
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-WEAK-CLIFFORD-ODD-LIFT-REVIEW.txt
2840c19c6f80ad23c88011194c21dbc02905538891fb4b0ac4384e165783c975
- HARDY-BMU-KO-AND-FOUR-SECTOR-COMPLETION.txt lines 1–178
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-KO-AND-FOUR-SECTOR-COMPLETION.txt
6548f713daafb6c76d0ba195bbd16a0a0f1d7ac28b235a38854239533d97bb89
- check_hardy_bmu_weak_clifford_lift.py lines 1–193
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_hardy_bmu_weak_clifford_lift.py
5e2cbc4cda9dfd3ccbb35df45b13b796861e42545e3c6b9729c666925b7787e8
- check_hardy_bmu_ko_completion.py lines 1–184
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_hardy_bmu_ko_completion.py
4b4702bf9911db2e100c4db18799e0145efcbcc0c7c4a4faf84a7a67f8c61204
- ROOT-HARDY-CLIFFORD-AND-MODEL-REVIEW.txt lines 1–69
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-HARDY-CLIFFORD-AND-MODEL-REVIEW.txt
7d0e548953e7e52e56a6da43dce2c71e5387376e189c966f2b2be08bb9cd174a
- CLAUDE42-GENERAL-FAMILY-KO-AND-SU2-REVIEW.txt lines 1–170
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE42-GENERAL-FAMILY-KO-AND-SU2-REVIEW.txt
5029b23a17a31856d3b1cf74348fc2b83484f3f38e83ace5a3ecd01fa22c6904
- ROOT-C6-KO-CANDIDATE-REVIEW.txt lines 1–70
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Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-C6-KO-CANDIDATE-REVIEW.txt
f691ed00544966a616cebfa260517a6a464ef7d68bc805f4e1ca6a0122e84a03
finding:actual-hardy-response-has-weak-clifford-odd-and-ko-real-completion