constrained_response_spectrum_checks.py

IDWT's physical premise is one infinite-dimensional manifold with all sectors nested as submanifolds. Particle depth counts macroscopic spatial dimensions; matrix and field-component counts in a calculation add no physical dimensions.

Calculation record

Check the fixed-norm eigenvalue shift of the positive response model.

Research context

Fixed-norm response as an eigenvalue contribution
A canonical-norm constraint converts the positive response force into a standing-frequency shift; equal-norm frozen source controls do not follow the simplex spectrum, while dynamically determined amplitudes and profiles remain open.
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.