Established in scope
Existing excitation family supplies explicit whole echo amplitude
In the question: Existing TFPT derivations and correction of repeated gap diagnoses
Explicitwholemode/finitehistory evaluation of alreadyexistingHamiltonfamily,not reinvention of implementability. Explicit hole/negative-sea phase transport. Ground0excitation doesnoterase originalLambda/Ref/Eta/Z0. No generalhistorymeshlimit or unprovedtimemoments,Hlaw/primitiveS/Z/physicalOS/4D/TOE or ledgerpromotion.
Read the exact result, assumptions and evidence
Result
Same original radial quark family has unpairedholechartfactor exp(iT(Ee−E0))det(I−C+C exp(iTh0)exp(−iThe)); phase follows existingpositiveground0Hamiltonians. Exactlyr_p=1+delta_p(exp(2iTEe)−1)/2,delta_p<=eps²s²/(2p²),thermalerror<=4exp(−2ell|p|). Wholeamplitude converges absolutely,uniformallT/epscompact; everyfixedfinitehistory hasstrongunitary/adjointlimits. Raw linear-centeredDysonphase has−i eps²sigma²||f||²logN,sigma²=3Tr(Yu*Yu+Yd*Yd); oldUVcause reused.16nativechecks and independentexactreview confirm amplitude.
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 quark Hamiltonfamily with explicit ground-zero hole chart
Given original constant radialv252 Higgs family with fixedYukawas,quark36 and bothquarters. C+=expit(2ellh) is normal in the positive-filled hole chart. Existing positive excitation ruleK(h)=E-dGamma(h),ground0; opposite chart/adjoint reverses phases. Full geometricLambda/Ref/Eta/Z0 is not replaced by excitation normalization.
Original evidence
- QUENCH-SOURCE-PROOF.txt lines 1–118
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/QUENCH-SOURCE-PROOF.txt
83e14bc7bb6b17206c28ebcbe9b183436530dad43eacea260527c7dc7e838e8f
- QUENCH-LOGIC-REVIEW.txt lines 1–189
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/QUENCH-LOGIC-REVIEW.txt
2e9686bbc5895b41559859cec9ff23b376c78ea518a9e8150a063000c526a804
- REFERENCE.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE.txt
9f99952b6a75c28d65de9de9d45d2c409ac6135d2b82f39ba4f4bee35620e328
- REFERENCE.txt lines 201–283
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE.txt
9f99952b6a75c28d65de9de9d45d2c409ac6135d2b82f39ba4f4bee35620e328
- check_dyson_echo.py lines 1–76
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/check_dyson_echo.py
4b470eb67462a8289ee21adabab84afe1673f630cc5267621bca4629517d7d47
finding:original-ground-zero-family-has-explicit-whole-quench-amplitude