Calculation record

Calculate the current positive-response route tests on shared mode controls.

These source vectors are algebraic controls, not derived particle densities.
Diagnostic success is not physical validation of a candidate action.

Research context

  • A common background action and its radial stability threshold

    One inverse background action cancels the finite carrier's radius force and field-radius mixing for every assigned mode, while its actual radial Hessian sets a shared background-curvature threshold and leaves angular curvature unselected.

  • The conformal Hessian of the whole-depth current carrier

    The specified whole-depth current action has a pointwise positive fixed-profile conformal Hessian for maintained spinor modes and positive finite zonal form controls; a retained inverse background gives a common phase-charge-normalized threshold, while full spatial support remains open.

  • Comparing current positive-response routes on common controls

    One calculation compares spectrum shifts, bias compatibility, size curvature and the conditional background Schur cost on the same maintained mode controls at every active depth.

  • Diagnostic catalog

    Reproduction commands and scope descriptions for every local finite diagnostic and helper.

Interpret numerical checks within the assumptions and limitations documented in these notes.