Established in scope
Complete covariant instruments for the actual six effects
In the question: Common clock sectors, quartic geometry and operational reconstruction
Complete only in this finite instrument class; no physical effect/p/time or GNS coherence selection.
Read the exact result, assumptions and evidence
Result
All covariant instruments with the given rank1 effects are I_a(rho)=Tr(E_a rho)[pP_a+(1−p)(I−P_a)/4], p∈[0,1]. Stabilizer commutantdim2, unique stationary stateI5/5, spectrum1,(p−1/5)^5,0^19. Markov histories and effectspan6<25 do not give full tomography; one-Kraus rule additionally selects p1.
Required assumptions
- Finite instrument category of the actual six ovoid effects
Fix the rank1 six-effect POVM transported equivariantly from the marked E8/J doily into the original quartic H5. Consider completely positive instruments from End(H5) to itself with exactly these effects and covariance under the actual60 generators. Physical selection of this measurement, an instrument, a preparation or a time unit is not assumed.
Original evidence
- COVARIANT-INSTRUMENTS.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/atlas-defect-synthesis-20261024/COVARIANT-INSTRUMENTS.txt
858d770e27f80aadb347194c4a9d1a8c869b12163d6cfe8433e4b12b1275ab10
- COVARIANT-INSTRUMENTS.txt lines 201–244
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/atlas-defect-synthesis-20261024/COVARIANT-INSTRUMENTS.txt
858d770e27f80aadb347194c4a9d1a8c869b12163d6cfe8433e4b12b1275ab10
- covariant_instruments.py lines 515–635
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/atlas-defect-synthesis-20261024/covariant_instruments.py
d65018b048c1f136a57c479d85227a453ded0b4a5c5603c741fcb0ea5d936adc
finding:complete-native-six-effect-covariant-instrument-classification