zonal-simplex-dimension-bridge-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

Exact zonal dimension-walk and normalization checks, no database writes.

Research context

A zonal differential bridge with exact kinetic pullback
Two height derivatives connect the bending, critical-sphere and ball simplex operators. Their adjoints determine the induced kinetic metric; a polar normalization canonically transfers zonal linear dynamics, while complete multiplicities and nonlinear dynamics remain distinct.

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