positive_scalar_vertex_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

Full positive-frequency scalar vertices on ordinary spatial Dirac modules.

The matrices test the written scalar term and specified free incoming bands.
They do not supply a photon inclusion, an electric generator or a weak rate.

Research context

Positive-frequency scalar vertices
The full positive-frequency scalar Dirac vertex has an exact canonical singular strength, with a massless half-angle law, chirality-dependent zeros and reciprocal spatial interference that must be retained before channel counting.
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.