dirac_reflection_symmetry_checks.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

Spatial reflection symmetries and scalar Dirac polarization multiplicity.

Pointwise differential checks and a Cartesian Hermite regulator independently
verify the symmetry and its eigenvalue multiplets. Frozen-source degeneracy
is distinguished from nonlinear self-consistency and physical charge selection.

Research context

Reflection symmetry of scalar Dirac sources
Spatial reflection symmetries force degenerate Dirac polarization multiplets even for unequal scalar confinement axes, and identify when those families also preserve the nonlinear moment source.
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.