surface_dimension_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

Actual tangent dimensions and spinor ranks of the round-feature carrier.

The feature lies in ordinary R^d and has two ordinary normal directions.
The depth-two limit has a zero-dimensional feature, not a surface tower.

Research context

Spatial dimension and component frames of the mass carrier
The round-feature spinor operator extends consistently to the positive tangent dimensions, but its depth-two limit has no harmonic tower; a local phase change also requires transporting the angular lift in the completed mass operator.

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