No entropy or tensor factor is specified

A scaling record contains no selected density matrix, radiation access factor, emission sequence, or decoder. The Family 282 assumptions also do not separately impose a split property. One cannot simply append a spatial partial trace to a bounded local algebra without declaring the relevant realization.

For a finite code, the capacity inequality in Theorem thm:recovery counts actual orthonormal syndrome vectors. It is not an area law. A count of field dimensions is not that syndrome count either.