Context
The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.
Proof or evidence
canonical linear-map expansion, fan-out-two buffering, and sealed recursion give additions/copies with the same exponent, logarithmic depth, and quadratic pinned scalar storage. Coefficient and precision costs remain finite constants after is fixed.
Verification notes
The failure status and preserved lesson are recorded in the cumulative failure ledger.
Limitations
- the hidden resources materially affect constants, uniformity, bit complexity, and practicality, but Run 14 reveals no new arithmetic-exponent barrier.