periodic_polarization_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

Complete occupied-polarization selection of a spatial source sideband.

The nullspace concerns specified scalar input/output channels, with actual
readjusted fields, normal propagation and common spatial rotations retained.

Research context

Polarization selection of a periodic spatial source
A positive matrix calculated from full spatial source operators identifies exactly which occupied polarizations cancel a selected frequency sideband, while retaining the incoming object's spatial pattern and common-rotation covariance.
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.