Calculation record
Full spatial polarization descriptors, reciprocal pair motion and textures.
These are conditional spatial Dirac and rotation-moment calculations. They
do not identify an occupied physical particle or its electromagnetic vertex.
Research context
- Complete spatial polarization data
Complete spatial Clifford tensors retain the amplitudes and phases of a polarized field, exposing information that a circulation tensor captures at six dimensions but can omit at ten.
- Equal-current spatial polarizations
Complete ten-dimensional fields can share density and circulation yet respond differently to the same six-dimensional partner, because reciprocal rotation dynamics retains polarization information beyond the current tensor.
- Spatial polarization textures
Allowing polarization to vary across a bound particle can preserve its scalar density while creating a full spatial kinetic residual, whose omitted components must be solved before the texture is a physical mode.
- 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.