Calculation record
Full spatial null/non-null Dirac plane response and kinetic chirality.
The backgrounds are specified unbound plane fields. Complete spatial
polarizations, conjugate Fourier modes, source terms and physical rotations
are retained. No observed particle, mass spectrum or gauge assignment follows.
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.
- Full spatial response of a scalar-null plane
A specified scalar-null Dirac plane has an exact full spatial spectrum, a sharp density-dependent linear stability threshold and a directional scalar response that cannot be replaced by a universal static overlap.
- 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.