local_polarized_collision_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

Independent full-field checks of local polarized Dirac pulse collisions.

The flat fields are homogeneous in transverse directions, so this is an
unbound spatial control, not a particle identification or a depth selector.

Research context

Local polarized Dirac pulse coupling
The local scalar Dirac term gives exact polarized pulse equations, a complete spatial mismatch criterion and reciprocal weak-scattering maps with both ordinary and phase-conjugate contributions.
Changing compatibility in a local Dirac collision
Independent full spatial evolutions of the local scalar Dirac equation show reciprocal pulse deformations that increase or decrease normalized scalar-pattern compatibility while preserving the combined polarization matrix.
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.