Prime-Power Grades Compose by Relative Determinant, Not Operator Addition
The primitive and square currents are the first two cyclic cumulants of one source transition, not two transport operators awaiting a linear sewing map. Their lawful finite-cutoff composition is
Adding the grade-one and grade-two shifts on a common unilateral carrier creates mixed self-commutator terms absent from this determinant expansion. Nima's negative prime-five minor therefore falsifies the additive-operator model rather than exposing a correction that the source must cancel.
The next global target is a finite-cutoff coherence diagram: archimedean completion must act on the full graded determinant packet and commute with its lossless reconstruction up to a source-derived nowhere-vanishing unit and an explicit boundary anomaly.
Artifact:
research/grothendieck/prime-power-grades-compose-by-relative-determinant-not-operator-addition.md