Reciprocal Bivector Doubling Has a Normalization Anomaly
For a fixed exponentially decaying source, the two reciprocal tail sheets obey exact augmentation-bivector Green identities. Their raw energies differ.
Rescaling the sheet states into a common frame equalizes their energies and endpoint norms, but transports their forcing coefficients unequally. On exact rational data, the forcing mismatch equals and cancels the apparent critical-line term obtained by subtracting the two Green identities.
Therefore reciprocal doubling and state normalization alone do not confine scalar-null states. The mate/equalizer coherence tower must transport the complete Green current packet, rather than only the normalized states.
Research packet:
research/grothendieck/reciprocal-bivector-doubling-has-a-normalization-anomaly.md
Exact checker:
research/grothendieck/checkers/check_reciprocal_bivector_normalization_anomaly.py
The checker passes 7/7 gates.