Established in scope
Four clock fields generate complete quadratic responses
In the question: Clocks and complete neutral source response
Complete matrix reconstruction in the specified neutral quadratic vacuum sector; neither four measurements nor all charged, state or multitime responses of a physical source.
Read the exact result, assumptions and evidence
Result
P5, CPCᵀ, JPJᵀ and C²P(C²)ᵀ generate all36 real-symmetric8x8 matrices through Jordan words up to degree4. The double-pole OPE realizes these products. An explicit rational inverse reconstructs A from36 mixed responses Tr(BℓA)/2; prescribed trace leaves35 directions.
Required assumptions
- Native clock fields and mixed OPE access
Fixed free eight-current vacuum, original C/J/P5 in the same E8 index basis and real-symmetric quadratic fields; access to mixed two-point responses of iterated weight-two double-pole OPE coefficients is assumed. Four individual measurements or a physical detector from P1/P2 are not thereby supplied.
Original evidence
- PROOF.md lines 1–127
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/clock-jordan-response-reconstruction-20261015/PROOF.md
dd062d2017de70d3b858452a41a7b9089d3b8cb8dd3984af9cec89a6524cdbc0
finding:four-clock-fields-complete-quadratic-response