Calculation record
First and full second response of the position-weighted curvature rule.
Research context
- A bounded curvature-moment carrier with positive averaged shape stiffness
The rule h=zB/2 removes an independent spatial function, preserves the simplex numerator and grouped response, and gives a positive complete centered Hessian for the balanced averaged multiplet across all maintained depths.
- Depth-two spectrum, polarization and coherent support
The depth-two normal carrier passes the spectral and centered stiffness tests at its prescribed surface parameter; the round-feature construction has no depth-two harmonic tower, while two occupied bands can cancel coherent beat sources.
Interpret numerical checks within the assumptions and limitations documented in these notes.