Calculation record
Localized full three-spatial-dimensional controls of the local scalar Dirac equation.
All complex spinor components and spatial coordinates are evolved. Initial
packets are projected to positive free frequency; the nonlinear evolution
retains every generated component. The finite Fourier grid is numerical
storage, not a physical compactification or a bound-particle assignment.
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.