radial_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

Full spatial checks of complex radial polarization closure in dimensions 2–10.

Research context

Complete radial polarization fields
A spherical scalar Dirac family retains independent complex radial polarization vectors, tangential spatial currents and reciprocal source variations in both odd and even dimensions, including six and ten.
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.