Joint rotation-product controls
24/24 controls passed.
Reused 1536/1,536 sealed physical probes; checked 198144/198,144 exact inequalities and 119808/119,808 coordinate bounds.
All original 51 coordinates and 27 physical parameters remain. Twenty-seven additional coordinates relax arithmetic products so matrix columns retain necessary joint rotation relationships. They add no physical sensor freedom.
Completed in 43.2 seconds. No completed physical generator was rerun; there are zero new physical-oracle calls, LP proposals, native integrations, original-aircraft reads or observed fits.
The construction preserves the stored mounting matrix and explicitly separates a dimensionless numerical allowance from sensor accuracy. Gram constraints and relaxed products do not prove a physically realizable proper rotation. Complete prediction usefulness and observational coverage remain separate gates.