Evidence

localized_polarization_stationarity_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

Frozen five/six-dimensional control for spatial polarization stationarity.

Research context

Localized polarization stationarity
With the same localized Gaussian envelope and magnetic kernel, uniform five-dimensional polarization has a nonzero spatial first variation whereas six-dimensional pure polarization is stationary.

Interpret numerical checks within the assumptions and limitations documented in these notes.