Evidence

projective_derivative_simplex_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

Derive the simplex polynomial from actual projective covariant derivatives.

The geometry, line bundle and derivative energy remain specified inputs.
This checks the differential construction, not a master-interaction origin.

Research context

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.