Context
The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.
Proof or evidence
the sufficient finite powers compound, and even a loose historical calibration produces a base dimension with billions of decimal digits. The coefficient table and height can be comparably extreme.
Verification notes
The failure status and preserved lesson are recorded in the cumulative failure ledger.
Limitations
- finite constructibility closes a logical transfer gap; it does not imply implementability or competitive constants.