nested_shape_visibility_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

Persistent spatial shape barriers and their frequency order across nested depths.

Uses one scalar Dirac interaction coefficient, full polarized quadrupole
feedback and the lower breathing response. No particle charge or rate is assigned.

Research context

Persistent spatial shape barriers
For orthogonal higher circulation, three spatial restriction maps classify permanent, linear and quadratic frequency barriers, with a Dirac example using one interaction coefficient.
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.