Failed approach · scope boundary

MRF-057

Expecting Kronecker sharing to worsen the exponential error base

Exact statement

Expecting Kronecker sharing to worsen the exponential error base. exact gate-level Laurent propagation returns the same uniform majorant 768∣t∣−3768|t|^{-3} as the independently evaluated row graph. Sharing changes the rounded-path increment from 17 to 23, but not the amplification base in the proved envelope.

Statusrefuted for RPR-D12.
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

exact gate-level Laurent propagation returns the same uniform majorant 768∣t∣−3768|t|^{-3} as the independently evaluated row graph. Sharing changes the rounded-path increment from 17 to 23, but not the amplification base in the proved envelope.

Verification notes

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

Limitations

  • intermediate sharing must be audited at the path level; neither degradation nor preservation of a coefficient-row bound follows from sharing alone.

Open work

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