scalar_packet_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 spatial checks and optional localized packet benchmarks.

Default execution checks source variation, conservation, exact free
preparations and time-step convergence against an independent full
four-component ODE. --packet-size runs the larger three-dimensional
collision described in the accompanying note.

Research context

Localized scalar wave encounters
Complete three-dimensional packet evolution retains phase-sensitive reciprocal transfer beyond a plane-wave truncation, with a continuum reflection law and independent spatial, temporal and boundary refinements.
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.