Calculation record

Complete low-frequency spatial current and polarized photon response.

The connection and its charge are conditional inputs of the same-field action.
These checks derive response within the scalar Dirac moment branch; they do
not identify that branch with a stable observed electron or a neutral neutrino.
The angular calculation retains complete monogenic families through degree two,
all scalar second moments, the center, and both signed frequency resolvents.
It resolves every term needed for the forward response through order omega.

Research context

  • Canonical spatial spin response

    The full moving spatial frame fixes the canonical particle center and relates its electric spin-orbit response to the magnetic moment without an independent coefficient.

  • Soft polarized scattering

    Retaining the photon spatial phase and the target's complete polarization multiplet gives the low-frequency forward spin response in the conditionally gauged scalar Dirac model.

  • Soft spatial current response

    The full spatial translation and velocity tangents determine the low-frequency electric current, its polarization correction, and the magnetic moment of a conditionally gauged scalar Dirac profile.

  • 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.