Established in scope
Variable original geometry carries the same entire local source family
In the question: Existing TFPT derivations and correction of repeated gap diagnoses
Concrete application of the existing original local source reader,not a further global CAR-origin requirement. Same stipulated circle and original oneform/state rule/time. C_h is each background given conditional rule,not unchangedC_ref or anH measure. Uniformity requires a boundedV family. NoK(F)=H(F),full originalS/Z source identification,absoluteZ0 derivation,3+1/TOE/Lean or ledger promotion.
Read the exact result, assumptions and evidence
Result
The extra constantH premise ofR080 is removed. Existing pointwise operator has weak{h,F}=−i gamma partialthetaF+{V,F}; time integration gives bounded2hA_F=integral conjugated(B_F+i partialtF). FixedD0 resolvent isS2, yielding an explicit uniformS2 bound over boundedV families. Existing det2 with trace correction and strongGNS lift then give the same full local space/time source family. LogMGF<=s² exp(|s|normA)normA_S2²/2 controls single-reader moments; complex multiword analyticity and Cauchy give all ordered response coefficients. Re-evolved Galerkinh_N has the sameS2 limit.59 native original96/quark36 controls pass with−OO; two independent analytic reviews.
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.
- Existing pointwise source family with variable background
Given original circle h=gamma(-i partialtheta+alpha)+V(theta),fixedH1domain andalpha1/4or3/4,existing pointwise oneform and Hermitian gamma-odd test insertionsF. V is bounded Hermitian. Retain existing conditional CAR ruleC_h=expit(2ell h),ell>0 and each original h time; no physical identification with the full primitive P1 source is assumed.
Original evidence
- VARIABLE-BACKGROUND-PROOF.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VARIABLE-BACKGROUND-PROOF.txt
81715b3b434804824049204ad24caafb2f4b71c4764665cdbd62cb8997de09d3
- VARIABLE-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VARIABLE-REVIEW.txt
6c8dd202a698c018ed3ecddfb38a0bdd1676101b9cf15b110547e08914095837
- VARIABLE-LOGIC-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VARIABLE-LOGIC-REVIEW.txt
359e40d2aab6bfab1f02887ce1637e4dfaffd024903c1ddfba481303fa960b09
- check_variable_background.py lines 1–92
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/check_variable_background.py
4aec8350583dd2ac20b8a78d35bd7101f67cac13820e78e11b16ce77d0a16064
- VARIABLE-REVIEW.txt lines 201–254
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VARIABLE-REVIEW.txt
6c8dd202a698c018ed3ecddfb38a0bdd1676101b9cf15b110547e08914095837
- VARIABLE-LOGIC-REVIEW.txt lines 201–204
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/VARIABLE-LOGIC-REVIEW.txt
359e40d2aab6bfab1f02887ce1637e4dfaffd024903c1ddfba481303fa960b09
finding:original-variable-background-local-force-has-uniform-entire-source