Established in scope
Original whole Green kernel produces energy response with correct orthogonal trace
In the question: Automated construction of operator maps and sources
No physical scale origin or Ladm=Ksigma². Real orthogonalQ is not holomorphic,transfer quotient only modewise,no globally boundedQ11inverse. No rescan ofR040 normal profile class. No movingAPS(H)replacement.31controls diagnostic,wholecircle analytic;no newLean formalization.
Read the exact result, assumptions and evidence
Result
Energy insertion in same source forcesA_z=B+zN. ExistingAP Green/Poisson call givesC_z=[[a,Ta],[Ta,T²a]],a=(I+T²)^-1. For realz it is oblique;actual orthogonal graph projection is[I;T](I+T*T)^-1[I,T*]. At0 and both±iomega,C=Q. Exact whole±E block formulas giveQprime0=[Cprime0,C0] with normtanh(ellE)/(2E)≤2 uniformly over ALL quarter modes. Same original fixedAPS source with BOTH endpoint columns gives same Cauchygraph without vacuum identification. Singlecrosskernel has derivative0 on adapted block despite nonzeroTprime. Actual whole energy response givesR040 flat moments(1-exp(-2ellEn))/(2En);existing flat source is now read from its given producer.
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 whole Green/Poisson producer and conditional scale response
Same existing homogeneous collar D0=N(partial_r+B),N*=-N,N²=-I,{N,B}=0 and whole given constant96 Higgs/MR family with quarter gap≥1/4. AP normal double has length2ell;APS comparison retains old fixedP_-(h0). Scale identities use actual shared transported domain and justified resolvent variation. DynamicHiggs derivative retains original whole weight,nonzeroZ0 and differentiable regulated source;no free normal metric,vertex norm or replacement of originalTr_rel.
- Whole original scale congruence and specified normal energy response
Given whole K=fK0f on transported domain, smooth positive f and original whole96 Higgs consumer. Boundary trace and metric use existing conformal transport. Profile recovery only on same homogeneous collar D0=N(partial_r+B), N*=-N,N²=-I,{N,B}=0,fixed Y/MR and sigma=sigma(r); complete first energy-transfer response of all given quarter modes must be supplied as data,not inferred from P(0). Spectral variation uses ordinary cyclic trace,justified continuation,interior variations and explicit reference/zero convention. Exterior Brel,other domains and weights remain separate.
Original evidence
- ORIGINAL-ENERGY-SOURCE-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/ORIGINAL-ENERGY-SOURCE-PROOF.txt
019b8b97116efbdb12f0452ccc43f041a204e9616d0c4042efeb8d5517a2c0c6
- check_original_energy_source.py lines 1–113
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_original_energy_source.py
afb784516df813cc21f47fdc7e1e75f743e1a26e684f327ae5537ce6e244a231
- ORIGINAL-ENERGY-SOURCE.json lines 1–68
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-ENERGY-SOURCE.json
c47f8614692c102ad864ed6030feacce732ea10d0db26595956e2cb3444e4778
- NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt lines 1–155
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt
423a092a1e73eed77b149a2f6a6ff1debee9d765fd0e438e1dcefc90da554a62
- APS-DOMAIN-AND-STATE.txt lines 1–194
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/APS-DOMAIN-AND-STATE.txt
540f4d191ff1a1f0f46397d55bd72b32dc6a9cf3639530ad16a7e6414bf51e06
- WHOLE-SCALE-ENERGY-RECONSTRUCTION-PROOF.txt lines 1–191
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-SCALE-ENERGY-RECONSTRUCTION-PROOF.txt
9693f9051ae803cb2e750035b934cd99d22044efbd5430cb592eb7ad47b2a96f
- ORIGINAL-HIGGS-INNER-SCALE-PROOF.txt lines 95–219
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-INNER-SCALE-PROOF.txt
8d041b0da6aef4a5e90007fb4c155029133138097e895517b396cb4fee32ef58
- DYNAMICAL-HIGGS-SOURCE-PROOF.txt lines 1–144
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DYNAMICAL-HIGGS-SOURCE-PROOF.txt
eda5bb664b1fb20370e59b39dbd5e3cb04d79864a8d1d0a0eb6c791cdaf98f49
- 001-subsection-from-bridge-to-geometric-completion.tex lines 15–126
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/001-subsection-from-bridge-to-geometric-completion.tex
f03609effe2abf6629a0057fa024c29fba0c59176072588599bfa1646f48939e
- 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
- 002-section-big-picture-what-tfpt-actually-claims.tex lines 71–105
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--00_orientation_source/sections/002-section-big-picture-what-tfpt-actually-claims.tex
284f783b1cc8a0ade52c60b37566b176006d6e2a5e4d9ac70e17c85a9efcb8cb
finding:original-whole-green-produces-energy-response-with-correct-orthogonal-trace