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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

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