The Primitive Current Is Not a Fourier-Stable Subchannel
In the exact cyclic model, a primitive-like odd-support distribution maps under Fourier transform to a complementary even-frequency control distribution. It is not proportional to its source channel and returns only after the second Fourier turn.
Thus the analytic regularity filtration should not be assumed Fourier-block diagonal. The full boundary-bearing packet may carry a unitary or duality correspondence while primitive, square, control, and tail components mix.
The correct infinite target is the Fourier orbit closure of the complete typed packet, with explicit cross-level transport and recovery after the reciprocal cycle. Blockwise equality of the primitive current would falsely reject the native rotation.
Research packet:
research/grothendieck/the-primitive-current-is-not-a-fourier-stable-subchannel.md
Exact checker:
research/grothendieck/checkers/check_primitive_fourier_orbit_closure.py
The checker passes 5/5 gates.