scalar_plane_response.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

Complete linear response of specified spatial Dirac plane backgrounds.

These unbound, constant-density fields are controls of the written local
scalar equation. No physical vacuum, particle mass or compactification is
identified. Every ordinary spatial momentum and spinor component is retained.

Research context

Spatially invariant scalar-null fields
The minimal massless spatial Dirac module admits complete kinetic scalar-null classes at every odd spatial depth, while even depths have no such constant linear class; this parity result does not select a particle or a physical charge.
Moving nonlinear scalar planes and their response
The local scalar Dirac equation has continuous nonnull traveling-plane branches whose complete self-consistent response has a covariant closed form, with proper density, conjugate modes and the conserved norm treated explicitly.
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.