Established in scope
Original positive parent does not fix the complete time residual
In the question: Complete physical Hamiltonian source with Gauss sector and thermal word limit
Only named original finite parent class;no ambiguity of one complete source or new physical coupling/projector. Locality uses existing R0/Hpar supports;charge blocks require common reduction. Primitive H_adm[F,0],whole physical generator,joint spectrum and F1 remain not_computed/open. All existing source/state/OS results retained.
Read the exact result, assumptions and evidence
Result
Delta_adm=sum K_r² forces K_r Padm=0. With the actual same penalty representation,the assumed physical parent split reduces to Hpar+Htr,pos. After a genuine common field/boundary identification,r=h_source-hpar must come from the whole source-time derivative. Printed class allows R_s=R0+sHpar,s>=0;each ordered excited eigenvalue E_j(s)>=E_j(0)+s m0 without commutation. For a fixed admitted zero-time word F,psi=F Omega orthogonal to Omega,-C_s'(0)+C_0'(0)=s<psi,Hpar psi>>0 for s>0.
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 positive parent class at fixed source time
Finite original parent Hpar>=0,ker Hpar=C Omega,gap m0>0. QFT005 assumes H0=Hpar+sum K_r+R0 with positive additions annihilating Omega. Compare only printed R0 conditions at fixed original time. Identify field/source spaces only through an actual common realization;no multiple generators for one whole S/Z source.
Original evidence
- SOURCE-GENERATOR-RESIDUAL-20261103.txt lines 1–177
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/SOURCE-GENERATOR-RESIDUAL-20261103.txt
20b7964c369a18f6bcad5d095d61759162a40c793344ec2714367cec8d408fa9
- 002-section-closure-theorems-from-the-admissibility-complex.tex lines 12–117
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
- 004-source.tex lines 241–280
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex
a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
- 005-subsection-admissible-schwinger-functions-minkowski-loca.tex lines 1–66
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/005-subsection-admissible-schwinger-functions-minkowski-loca.tex
8bf0a37157505ca12b90154dbe41a29c49a503686a8493dffd63945f205e0af6
finding:r111-original-positive-parent-clause-leaves-time-generator-residual-unbound