axial_scalar_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

Independent spatial, variational and regulator checks of the axial family.

Research context

Axial spatial Dirac packets
An exact angular family retains complete complex polarization vectors and transverse localization in odd-dimensional scalar Dirac dynamics, with a variational radial and axial regulator for reciprocal packet encounters.
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.