Deriving working precision from $(r,q,e)$

Exact statement

Deriving working precision from $(r,q,e)$ . adjoining $MR-MR=0$ as two rank-one terms preserves the target, order, and error degree while making coefficient norms and adverse roundoff arbitrarily large.

Statusrefuted for sealed supplied DAGs.

External reviewNo documented external or specialist review of the FPRD synthesis is recorded.

Context

The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.

Proof or evidence

adjoining $MR-MR=0$ as two rank-one terms preserves the target, order, and error degree while making coefficient norms and adverse roundoff arbitrarily large.

Rejected transfers and surviving boundaries →

Verification notes

The failure status and preserved lesson are recorded in the cumulative failure ledger.

Limitations

numerical realization needs coefficient norms or a circuit condition certificate in addition to algebraic degeneration data.

Open work

Keep this exclusion attached to any future reuse of the corresponding construction.