Established in scope
Whole original graph carries full paired Dyson source and polar transport
In the question: Existing TFPT derivations and correction of repeated gap diagnoses
Complete mathematical PAIRED reader of the given original graph class. Not an unpaired amplitude substitute,absoluteZ0 or primitiveH/geometry selection,or identification of simultaneousface time with positiveOS H. Polar operation is specified and derived,not automatically pointlocal; actual consumer must retain dV/support. No newglobalCARorigin requirement,4D/TOE or ledgerpromotion.
Read the exact result, assumptions and evidence
Result
D extends to actual time ordering: W−I=−iA and2hA=int(B_I+i dotF_I+F_I²)W,with boundedprefix boundary term. Fixed resolvent givesW−I inS2; Galerkin strong convergence and normal left/right tails giveS2 limit. Whole coherent graphP has invertible compression andchi=sqrt det_F(I−B*B)>0,B=(I−P)diag(W,W)P. Genuine finiteSlater representation proves positive history kernel; all mixedCAR minors are retained. ActualoddHiggs pulse hasdetW=1. For existing general normalgraphK its unique polarV supplies specified second paired operationV W V*,without newphase/state/metric. UntransportedsecondW is a different word.46 native controls and16+256 independentexteriorwords pass; two 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.
- Whole original graph with specified polar paired operation
Existing original circle h=gammaD0+V,stationary whole graph ofK=exp(-ellh),local odd smooth Dyson insertion. GeneralK is closed,densely defined,injective with dense range; K=V_K|K| and the specified paired operation isdiag(W,V_KWV_K*). Do not automatically identify it with a different localS/Z insertion.
Original evidence
- PAIRED-DYSON-PROOF.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-DYSON-PROOF.txt
556735a9132f328707be6c83315eb068e102ae4c1bf1b68461181cc3d03cdb57
- PAIRED-DYSON-PROOF.txt lines 201–205
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-DYSON-PROOF.txt
556735a9132f328707be6c83315eb068e102ae4c1bf1b68461181cc3d03cdb57
- PAIRED-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-REVIEW.txt
f51a4d21315fac64cf42e2edceea20073b78f86b74e5e04e5bf66a5236280867
- PAIRED-REVIEW.txt lines 201–239
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-REVIEW.txt
f51a4d21315fac64cf42e2edceea20073b78f86b74e5e04e5bf66a5236280867
- PAIRED-LOGIC-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-LOGIC-REVIEW.txt
e374b53fa0f6b7f2a0f91b2fa4d12a74d083f5215322a9a80e3bc8c3e93d66cb
- PAIRED-LOGIC-REVIEW.txt lines 201–232
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/PAIRED-LOGIC-REVIEW.txt
e374b53fa0f6b7f2a0f91b2fa4d12a74d083f5215322a9a80e3bc8c3e93d66cb
- check_paired_dyson.py lines 1–93
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/check_paired_dyson.py
777d77aebe964b3169fb15839ab8a277083ad14e92c8db2473a3903b934d4ca2
- check_transition_words.py lines 1–44
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/check_transition_words.py
09453e79fe79f63371adf9efe3b56933e884cc7db49b9599648711af316fc4fc
finding:original-whole-graph-has-full-paired-dyson-and-polar-source-completion