projective_spatial_pair.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

Specified spatial Dirac fields on nested CP^a and CP^(a+q).

The lower field retains its complete complex radial 0/1-form class. The
higher field retains the exact two-variable 0/1/2-form class fixed by the
shared and normal coordinate blocks. Canonical Galerkin bases preserve
both Dirac signs and the full complex scalar response. The common kernel
is |X†Y|² with one coefficient, without independent depth normalization.
These are conditional global spatial geometries, with no compactification.

Research context

Diagnostic catalog
Reproduction commands and scope descriptions for every local finite diagnostic and helper.

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