Established in scope
Whole original source contains its canonical vacuum and transports modular data
In the question: Whole original source and canonical vacuum attachment
Concrete application of existing whole-source and OS transport theorems. Only the outer source-independent reference denominator cancels in q; inner reference weights and absolute Z0/eta/energy remain. Use applicable regularity rather than separate temperedness; bounded-net construction retains actual time-zero scope. Family transport is not active symmetry of a changed background. No global Minkowski requirement on cosmological branches or total source/TFPT promotion.
Read the exact result, assumptions and evidence
Result
Full moments come from q=Z_rel[J]/Z_rel[0]=Z_adm[J]/Z_adm[0]. On the actual valid vacuum OS source Omega=[1], norm1 and H Omega=0. Applicable regular full Euclidean covariance also yields invariant Omega and forward-cone spectrum, with no second independent post-source vacuum choice. Clustering controls uniqueness. G actual whole source isomorphism carries all moments,time,reflection and Omega; on the same standard pair Delta_U=V Delta V* and J_U=V J V* carry every already valid BW relation.
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 normalized vacuum source with applicable reconstruction theorem
Actual complete original q=Z/Z0 with all physical source legs/full moments and original grading,time,reflection and RP. Applicable vacuum OS theorem holds on actual domain/regularity. Relativistic consequence requires WHOLE Euclidean-invariant source at actual fixed flat background;covariant family transport alone is insufficient. Retain actual time-zero hypothesis of bounded-net route. Not inferred from principal symbol or asserted for every KMS/graph/curved background.
- Original product collar with actual bound reference and whole source
Given original collar D=N(partial_r+B), B=ZA-SPhi, S=NZ, Phi=L(H)+D_M Hermitian gamma odd and selfadjoint gamma-even A. Existing fixed E and U=(E,NE), original domain and actually supplied tau lift with bound D_ref. Explicit formulas use existing R032 S/T lifts. A whole original S/Z caller with its actual fields, measures, sources, constraints and reference is supplied; copying it posits no new source. R003 autonomous logodds only in its stated product class; general K stays ordered.
Original evidence
- VACUUM-IDENTIFICATION.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VACUUM-IDENTIFICATION.txt
97afef6dfcc94a5e18bda211203e73df2221a914432722fdbae066338608abb7
- VACUUM-IDENTIFICATION.txt lines 201–261
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VACUUM-IDENTIFICATION.txt
97afef6dfcc94a5e18bda211203e73df2221a914432722fdbae066338608abb7
- OS-VACUUM.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/OS-VACUUM.txt
469b77e3a452f777ad90abbc363a12eca7d84193b6acded6443c79fe83026218
- OS-VACUUM.txt lines 201–324
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/OS-VACUUM.txt
469b77e3a452f777ad90abbc363a12eca7d84193b6acded6443c79fe83026218
- J-FINAL-REVIEW.txt lines 1–192
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/J-FINAL-REVIEW.txt
0c066984d5ba922a61fcdc3b283a6c2136746ea2e55005ceee5e192256307272
- REFERENCE-SOURCE-COMPLETION.txt lines 80–106
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE-SOURCE-COMPLETION.txt
5ddc9c63c5f20f42befba6ae32fc57fdecb61c4b70dd9ab2d7b26fe667380cbb
finding:whole-original-source-has-canonical-vacuum-and-transports-modular-data