Evidence

holomorphic_source_compatibility.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

Test common-shape source compatibility using independently verified gradients.

This tests the separable trial E_geom(a) + Q omega_L(a), not every
same-field action. Q is a canonical norm, never a mass assignment.
The companion momentum check uses the already computed contracted
full normal states, without rerunning their eigensystems.

Research context

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