Calculation record

Spatial depth controls, signed canonical states and the bottom two-band constraint.

The ambient Clifford representation is reduced to one chirality for odd
surface dimension. This keeps the actual intrinsic spinor rank, including
rank one on the circle, without adding physical spatial coordinates.

Research context

  • Mass-operator controls at depths three and four

    The same spatial operators carry through at depths three and four, while odd surface parity, complete linear response and the bottom two-band assignment constrain their physical completion.

Interpret numerical checks within the assumptions and limitations documented in these notes.