the hydrodynamic cone has poles

Exact assertion

The hydrodynamic rank witness now has a full effective response rather than three positive shapes. The tensor term is local at first derivative order, the shear channel has a diffusive pole, and the sound channel has two attenuated propagating poles. At the declared point every pole is retarded, every residue is nonzero and the assembled two-port spectral matrix is positive definite.

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

Verification route

1. Recover the declared objects and assumptions from the controlling documents.
2. Check the calculation, construction, obstruction or stopping rule on those same objects.
3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
4. 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 →