surface_kinetic_projection_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

Pull back the canonical field kinetic form to two physical translations.

All complex spinor components are retained. A core profile is a declared
geometric control, not a solved Dirac fixed point or a mass-fit variable.

Research context

Projecting the field kinetic term onto a surface
The canonical field kinetic term gives a boundary expression for the two-normal surface coefficient; common background circulation can make it profile-independent, while a fully localized normal field has a cancelling outer contribution.
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.