scalar_born_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 Clifford, coherent source and finite-time Born frequency checks.

Research context

Frequency accounting for scalar Born response
Complete scalar vertices remove the negative-frequency resonant Born channel for positive incoming waves, while a finite-time positive preparation can retain a nonresonant response; the distinction follows from spatial momentum, frequency and both angular contractions.
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.