Calculation record

Full Dirac propagation normal to a self-bound spatial sector.

Exact uniform boosts preserve the scalar source. The scalar envelope action
is a specified variational reduction; its stability does not establish
stability of the omitted bound-profile or polarization modes.

Research context

  • Normal propagation of spatial Dirac modes

    Retaining the normal Dirac partner gives exact free-direction propagation, source-preserving boosts and a full moment-response equation for collective fluctuations.

  • Scalar envelope of a bound Dirac field

    Readjusting the scalar bound profile gives a normalized Dirac envelope potential with a derived density power, exact uniform moving branches and a specified reciprocal fluctuation spectrum.

  • 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.