Established in scope
Whole normal reduction preserves relative spectral trace and first Higgs responses
In the question: Automated construction of operator maps and sources
Extends existingSchur/memory results with same geometric spectralreader,rather than relabeling them new.36controls andgeneric algebra. No numericnormalblocks,physicalgap ornewmetric chosen. Finite logdetjets are notFPzeta0 orautomatica2/a4;no multiplicativity of separatezetadets. IndefiniteR gives no universalSchursign. Distinguish parallel/nonparallelP andmovingframes. OriginalB_Ea→Brel/Tr_rel mapnotderived;F1remainsopen.
Read the exact result, assumptions and evidence
Result
PK²P−(PKP)²=PKQKP=(QKP)*QKP≥0;for[P,K0]=0 andK0+tV defectt²PVQVP. Original96P+hasP+PhiP+=0 whileTrP+L(H)²=A|H|²/2. K−z=[[A,B],[C,E]],R=E^-1,S=A−BRC full inverse retains all4blocks. Unweightedfulltrace=TrR−Tr(S^-1 dzS),dzS=−I−BR²C;apply actual weightedtrace to allblocks. (K²+omega²)^-1 uses both K±iomega resolvents;retain same reference/eta and original continuation. Full finite source keepsdetEdetS,two shifted legs and directQterm. Complete affineHjet recursion andlogdetH²/H⁴ with nonzeroB0/C0 andnoncommutingblocks executed.
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.
- Given Clifford/form grades,parallel projection and complete relative block reader
Existing whole96 Higgs consumer L(H)+DM,unchanged Y/MR;given conditional spin4 product with fixed Clifford connection. Distinguish ordinary internal two-form from Clifford-valued full notation. Heat comparison assumes parallel spin-compatible orthogonalP and compact interior variation;P+ is actual internal test,not identified with normalP or printedI48/P2. Block formulas exact for same finite regulated operator;infinite domain/relative trace/continuation require original contract. FixedP for affine Hjets;moving frames retain actual induced terms. No choice of physical normal operator,measure,profile,gap or free parameters.
- Given normal Higgs modes and distinct module types
Given3+2 carrier V=(3,1)-1/3+(1,2)1/2 with conjugation on End_C(V),given colorless H=(1,2)1/2,real-linear insertion;normal2D spin,weakSU2 and spacetime spin distinct. Reuse original normal B_Ea and Higgs/wedge results. Whole kernel/Gram formulas apply only when actual normal realization is given selfadjoint B or supplied doubling with finite constant kernel and actual scale fBf/domain,prescribed S and insertions on their domains. No new profile,normal metric,physical measure,or index-operator/Brel identification.
Original evidence
- ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION-PROOF.txt lines 1–122
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION-PROOF.txt
93e5aa95a231dec44ea173a680d6bcad7a5261dc1d7926f12957e42259b4afa6
- ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION-PROOF.txt lines 123–236
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION-PROOF.txt
93e5aa95a231dec44ea173a680d6bcad7a5261dc1d7926f12957e42259b4afa6
- check_higgs_superconnection_reduction.py lines 1–108
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_higgs_superconnection_reduction.py
2aaf06a90aaf8b365965d975264f067324972bb2ef27793f765e589f6a5f66d8
- ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION.json 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-SUPERCONNECTION-REDUCTION.json
3b55330fb9f7f03acc77657e0a3b24d03c20c976aa2fc87b7f8ad3c3d68c1c94
- v252_full_finite_triple.py lines 85–168
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Original location and fingerprint
verification/v252_full_finite_triple.py
820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
- 001-subsection-from-bridge-to-geometric-completion.tex lines 30–126
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/001-subsection-from-bridge-to-geometric-completion.tex
f03609effe2abf6629a0057fa024c29fba0c59176072588599bfa1646f48939e
- 002-subsection-closed-texorpdfstring-41-41-chain-after-famil.tex lines 39–96
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documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/002-subsection-closed-texorpdfstring-41-41-chain-after-famil.tex
313dade0e18117f8b4f5c7ad88d8e91caeaa11fe4a23cf32fc3f7bac238dab58
- 002-subsection-closed-texorpdfstring-41-41-chain-after-famil.tex lines 143–224
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/002-subsection-closed-texorpdfstring-41-41-chain-after-famil.tex
313dade0e18117f8b4f5c7ad88d8e91caeaa11fe4a23cf32fc3f7bac238dab58
- 004-subsection-absolute-spectral-planck-closure.tex lines 26–49
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/004-subsection-absolute-spectral-planck-closure.tex
669d088bea83eef25cfd9960905893cc57d2827c7b4d7558c5aa7b408b85581a
- 007-subsection-bosonic-relative-index-and-higgs-selection.tex lines 95–139
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/007-subsection-bosonic-relative-index-and-higgs-selection.tex
cf801a467465db8d72e4eb3f8e32eea2e23393bf42232a225116c34ed093f761
- 008-source.tex lines 157–188
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Original location and fingerprint
documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/008-source.tex
aa2731355579b961ea9de47532cb0a4cb3db6e1c29e0f18965b517d1280d8d85
- KMS-AND-CARRIER-TRANSPORT.txt lines 194–220
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Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/KMS-AND-CARRIER-TRANSPORT.txt
9efcfb0d68e16db842aab97b7171b2d667e7b065cb4c6ab8138102acc4c8fb68
finding:whole-normal-reduction-preserves-relative-spectral-reader-and-higgs-jets