Evidence

single-filter-core-check.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 bounded checks for a positive single entropy filter; no PDE simulation.

Research context

A Self-Supported Real Harmonic Core
One positive entropy filter yields an exact self-generated harmonic core and a global Gaussian energy minimum; its real excitation counts are simplex numbers, while cutoff and count-frequency selection remain open.

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