Evidence

density_mass_identity_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

Positive rational mass normalization and both current-sign core jets.

Research context

A simpler current action with the same mass-core response
Total-density normalization removes the cutoff functions and their thresholds while preserving the coherent mass branches, canonical inertia and complete core Hessian, including finite graded currents and their common-target interaction.

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