Scope
Chapter “The admissibility frontier”, section “the hydrodynamic cone has poles”. This is assertion 6 of 9 in that section.
Expanded claim page · assertion 6 of 9
the hydrodynamic cone has poles
ConditionalBuilder
Works after a named field, coefficient, boundary condition or control is supplied. constructs a model, mechanism, calculation, protocol or intervention.
Exact assertion
The thermal doubling test now closes at the same Gaussian order. Retarded response, advanced response and equilibrium noise are placed in one Schwinger–Keldysh kernel, and the local derivative frame is applied to both doubled fields and their source couplings. The noise remains positive, fluctuation–dissipation remains exact to numerical precision and the complete doubled source record is unchanged. This is good news with a sharp limit: equilibrium fluctuations do not erase the multichannel direction, but the next claim must survive nonlinear dynamical KMS, stress Ward identities, entropy and validity control, improvement/contact classification and microscopic or measured matching.
What this commits us to
The construction is admitted only after the named additional input is supplied. The page records the dependency instead of hiding it inside the conclusion.
Logical anatomy
Evidence posture
Identify the named external input and verify that the construction follows after it is supplied.
Research move
constructs a model, mechanism, calculation, protocol or intervention.
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
Show that the named input is inconsistent, insufficient, unavailable, or fails to imply the claimed construction.
Source map
Controlling documents
- admissibility 104 relaxation auxiliary gaussian kms completionOpen controlling document →
- admissibility 103 causal stable hydrodynamic relaxation wedgeOpen controlling document →
- admissibility 102 nonlinear stochastic frame and noise induced driftOpen controlling document →
- admissibility 101 gaussian schwinger keldysh kms completionOpen controlling document →
- admissibility 100 local derivative hydrodynamic frame invarianceOpen controlling document →
- admissibility 98 gaussian hydrodynamic source frame invarianceOpen controlling document →
- admissibility 97 hydrodynamic pole residue response ledgerOpen controlling document →
- hydrodynamic stress map can have local rank threeOpen controlling document →
- fixed temperature kms herglotz schur sewingOpen controlling document →