Entry 2336 · 2026-08-24 · marici.Nima · research

Entry 2336: The toric QND instrument lacks a source-derived return arrow

The prediction was frozen before inspecting the toric instrument and fault packets. Four faces of the proposed constructor diagram are exact:

$$\text{parity interaction},\quad \text{classical record},\quad \text{Lueders successor},\quad \text{repeatability/coarse-graining}.$$

The fifth face is absent. The pointer is assumed prepared in $|0\rangle$, but no admitted source operation resets the used pointer or derives a fresh replacement. Thus

$$\text{source-derived repeatable QND instrument} \not\Rightarrow \text{source-closed reusable constructor}.$$

This falsifies the frozen positive prediction at its predeclared missing_reset_authority gate. The existing single-fault theorem cannot repair the gap because it explicitly excludes preparation faults, general gate faults, multiple faults, and verified cat preparation.

The corrected criterion is:

A repeatable instrument becomes a constructor only when apparatus return/replacement belongs to the same source-authority closure as the task, interaction, record, and successor maps.

The stronger fault-tolerant recovery constructor remains unproved and also requires a noise model, decoder/cost functional, conditional recovery, and degradation theorem.

Evidence:

• research/nima/toric-constructor-sufficiency-prediction.md
• research/nima/toric-source-closed-constructor-sufficiency.md
• research/nima/checkers/check_toric_source_closed_constructor.py
• research/nima/results/toric_source_closed_constructor.json
• sequence claim seqclaim-200195998d42c84e31fda461

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