Calculation record
Exact cumulative-count and paired canonical response identities at all depths.
Research context
Interpret numerical checks within the assumptions and limitations documented in these notes.
Evidence
simplex_quadrature_identity.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.