Evidence

harmonic-band-bridge-certify.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

Arb certificate of negative Gaussian Ritz subspaces via analytic Laguerre integrals.
The orthogonal radial weight is z^alpha exp(-z)/Gamma(alpha+1).
No numerical quadrature, no probability interpretation of spatial modes.

Research context

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