Established in scope
Whole energy response uniquely reconstructs the normal scale profile
In the question: Automated construction of operator maps and sources
Extends existing massless Cauchy transport using existing normal source without choosing it anew. No finite/noisy stability theorem,no angular sigma recovery or physical scale origin. Original whole Dplus/continuation must actually supply Tprime(0);P(0) alone does not. No Ladm=Ksigma² identity,no invariant absoluteZ0 or full dynamicHiggs measure. ExteriorBrel may change the inner operator itself.15controls are algebraic/numerical diagnostics,not physical proof.
Read the exact result, assumptions and evidence
Result
Whole K=fK0f has kernel f^-1kerK0 and identical correctly transported zero-energy Cauchy space,including full variable Phi=L(H)+DM. Actual energy resolvent retains exp(sigma):G(z)=f^-1(K0−z exp(sigma))^-1f^-1 and (K²+omega²)^-1=f^-1Rplus exp(sigma)Rminus f^-1. Existing homogeneous collar gives first-energy moments M_n=int0ell exp(sigma(r))exp(-2rE_n)dr,where E_n=sqrt((n+alpha)²+mu²) is from one unchanged fullPhi² branch. Muntz density of lambda_n=E_n−E0 proves uniqueness of the entire continuous normal profile from ALL moments. Explicit positive Gram gives convergent L² recovery;existing flat source gives exactly w=1.
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.
- 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
- WHOLE-SCALE-ENERGY-RECONSTRUCTION-PROOF.txt lines 1–130
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
- WHOLE-SCALE-ENERGY-RECONSTRUCTION-PROOF.txt lines 131–191
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
- check_whole_scale_energy.py lines 1–74
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_whole_scale_energy.py
aeeddfad191137e7a549ca35c5aaedd0b25860a77947647a0e3ec056536bef55
- WHOLE-SCALE-ENERGY-RECONSTRUCTION.json lines 1–35
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-SCALE-ENERGY-RECONSTRUCTION.json
5dbbbc34ae521765422716d2e1421c27bae3b73f5494fa5cac9d12fe7187985b
- 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
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 65–155
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex
7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 353–377
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex
7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79
- 002-section-closure-theorems-from-the-admissibility-complex.tex lines 31–117
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/002-section-closure-theorems-from-the-admissibility-complex.tex
61ecee7727bdec47936bbffc028d3dbac5260a025b6dbcce30124a60d635fc9c
- 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
- CONFORMAL-TRACE-AND-WICK.txt lines 1–116
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-arc-charge-source-interface-20261026/CONFORMAL-TRACE-AND-WICK.txt
77a6bffa2192b809f0264406afe7dd57d4718576f7f6632c107a7036de6ff5d1
- ORIGINAL-ADMISSIBILITY-AND-TOTAL-CHIRAL-TRACE-PROOF.txt lines 113–222
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-ADMISSIBILITY-AND-TOTAL-CHIRAL-TRACE-PROOF.txt
08fdf72e888a4ef511bdfb4d7db1e2919c72ee3dc193c27c16a5dfee72fb6d25
- 002-subsection-closed-texorpdfstring-41-41-chain-after-famil.tex lines 39–96
Source checked at this snapshot
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
- 005-section-absolute-dimensionless-metrology-from-the-bounda.tex lines 136–178
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/005-section-absolute-dimensionless-metrology-from-the-bounda.tex
b19c58deb3ee905c16e659dd26b15ca8d1998bab6f703cd350e04e54129a9a4c
finding:whole-scale-energy-response-uniquely-reconstructs-normal-profile