incoming_shape_mode_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

Incoming spatial shape modes and forced frequency barriers.

Independent tensor norms and full Dirac fluctuation modes distinguish a
physical incoming moment from a force that first drives the higher object.

Research context

Incoming spatial shape modes
A specified incoming spatial moment and an applied force have different response maps; individual shape helicities obey exact hyperplane restriction bounds which clarify the frequency-dependent cancellation mechanism.
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.