Scope
Chapter “The admissibility frontier”, section “the shared path is not yet a shared algebra”. This is assertion 6 of 14 in that section.
Expanded claim page · assertion 6 of 14
the shared path is not yet a shared algebra
Obstruction / no-goAuditor
A stated candidate class or identification has been ruled out under explicit assumptions. checks assumptions, certificates, counterexamples and stopping rules.
Exact assertion
The positive-measure branch now closes at scalar rank one. The same RC network supplies a positive relaxation atom with units of siemens per second; evaluating it at the held-out frequency recovers the Schur correction in siemens, while the coupling sign is correctly lost in the positive quotient. A negative atom and an incorrect dimension delta are refused. This shows that the reasoning seam can carry both a physical response operator and its spectral measure. It does not reconstruct an unrestricted operator-valued measure, generate a Jordan product or predict laboratory data. Those remaining gates require new source information, not another wrapper.
What this commits us to
A specified candidate class fails under explicit assumptions. The conclusion does not automatically extend to mechanisms outside that class.
Logical anatomy
Evidence posture
Check the assumptions defining the ruled-out candidate class; the no-go does not automatically extend beyond that class.
Research move
checks assumptions, certificates, counterexamples and stopping rules.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Break one of the no-go assumptions in a controlled construction, or show that the alleged obstruction does not follow within its stated class.
Source map
Controlling documents
- admissibility 94 internal whole spectrum coverage boundaryOpen controlling document →
- admissibility 93 frozen two tone within batch protocolOpen controlling document →
- admissibility 92 two point population state bridgeOpen controlling document →
- admissibility 91 one point latent state boundaryOpen controlling document →
- admissibility 90 pointwise population envelope rank identity and cell level boundaryOpen controlling document →
- admissibility 89 unseen cell shared parameter near missOpen controlling document →
- admissibility 88 population wide passive impedance baselineOpen controlling document →
- admissibility 87 source native measured impedance held out predictionOpen controlling document →
- admissibility 86 positive spectral atom and measure evaluation witnessOpen controlling document →
- admissibility 85 physical admittance operator and held out current witnessOpen controlling document →
- admissibility 84 all d02 families pass common algebra2 record layerOpen controlling document →
- admissibility 83 first common algebra2 path and legacy dimension projectionOpen controlling document →
- admissibility 82 claimipedia source native paths pass live sourcery but dimension and operator gates remainOpen controlling document →
- frontier wave7 72 claimipedia sourcery typed extraction no goOpen controlling document →