Scope
Chapter “The admissibility frontier”, section “the shared path is not yet a shared algebra”. This is assertion 13 of 14 in that section.
Expanded claim page · assertion 13 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 final adaptive freedom can also be removed. Fix 10 kHz and 2.8219349 Hz for every target, fix three nearest donors, and keep the passive basis unchanged: all 54 cells still pass. The median cellwise median error remains 0.674%, the worst median improves to 2.290%, and the worst maximum remains 5.503%. This is a reproducible within-batch two-tone point-prediction rule, and therefore a concrete theoretical-engineering gain. It still does not provide simultaneous uncertainty, fixture covariance, external-batch transfer, dynamics or new physics.
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 →